Pith. sign in

REVIEW 4 major objections 7 minor 6 cited by

Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities

T0 review · 4 major / 7 minor · reviewed 2026-08-07 · deepseek-v4-flash

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

Pith's one-line read Gluon-scattering energy-energy correlator at hadron colliders solved analytically at leading order, decomposed into celestial blocks, and matched to Lipatov's vertex in the Regge limit.

desk verdict First analytic LO full-angle EEC at hadron colliders with a new celestial-block formalism—worth refereeing, but the master formula's derivation and the A3 bootstrap are not fully shown. read the letter →

arxiv 2505.16753 v2 pith:ER4IFGC7 submitted 2025-05-22 hep-ph hep-exhep-th

Hao Chen , Hongyi Ruan , Hua Xing Zhu This is my paper · ORCID
classification hep-phhep-exhep-th
keywords energy-energycorrelatorhadroncollidercelestialblockQCDlight-rayOPEReggelimitBFKLdynamicstransversespin
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper claims to have obtained the first analytic leading-order result for the full-range energy-energy correlator at hadron colliders, computed in pure Yang-Mills theory from the tree-level process $gg \to ggg$. It introduces celestial blocks for hadron collisions — partial-wave basis functions built from two-dimensional conformal blocks, with an extra label for the collinear spin along the collision axis — and shows the computed EEC decomposes into exactly these blocks, with coefficients that are analytic functions of transverse spin once $j \ge 4$. The same closed formula is then expanded in four kinematic limits: collinear, opposite coplanar, back-to-back, and Regge, where the last recovers Lipatov's effective vertex for reggeized gluon exchange at leading power. If correct, a single LHC measurement of this observable would connect soft-collinear dynamics, Sudakov resummation, and BFKL high-energy behavior, which is why the claim matters for collider phenomenology.

What carries the argument

The collider celestial block $F_{\delta,j,\gamma}(z,\bar z,w) = w^{\gamma} G^{(\gamma)}_{\delta,j}(z,\bar z)$, where $G^{(\gamma)}_{\delta,j}$ is a product of two ${}_2F_1$ hypergeometric functions — a two-dimensional conformal block — and the quantum numbers are celestial dimension $\delta$, transverse spin $j$, and a Mellin label $\gamma$ conjugate to the collinear spin of the 'light-ray transition matrix' along the collision axis. It carries the argument because these blocks are the eigenfunctions of the Lorentz-Casimir partial-wave equation, so decomposing the EEC in this basis separates Lorentz-symmetric kinematics from dynamics, and the integer positions of the $\gamma$-poles reveal that only even collinear-spin transition matrices contribute at tree level.

What would settle it

Numerically evaluate the single-variable phase-space integral in Eq. (3.6) with the full color- and helicity-summed five-gluon squared amplitude at several detector configurations (for example $Y = 1$, $\Delta Y = 2$, $\phi = 1$) and compare with the closed form Eq. (3.7); any mismatch in the rational prefactor or in the $C_0$–$C_5$ polynomial coefficients would falsify the claimed analytic result. A second check: evaluate the Regge-limit formula (4.45) against the full expression (3.7) at large $\Delta Y$ for fixed $Y$ and $\phi$, and extract block coefficients directly from the Laurent expansion of Eq. (3.7) at $j = 3$ and $j = 4$ to test the claimed threshold $j \ge 4$.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that the hadron-collider energy-energy correlator — the energy-weighted correlation between two calorimeters over the full solid angle, with dependence on two rapidities and one azimuthal angle — is analytically computable at leading order in pure gluon QCD. Starting from the Parke-Taylor five-gluon amplitude and reducing the three-particle phase space to a single integral over an energy fraction, the authors evaluate the integral in closed form: Eq. (3.7), equivalently Eq. (3.9), expresses the LO distribution as rational prefactors times five transcendental terms (logarithms, arccosines, and trig factors) with polynomial coefficients. The result admits a celestial block decomposition, Eqs. (3.15)–(3.17), and the Lorentzian inversion formula produces closed-form block coefficients that agree with direct extraction for transverse spin $j \ge 4$, establishing analyticity in transverse spin. Finally, in the Regge limit $\Delta Y \to \infty$ the full formula reduces to Lipatov's effective vertex for reggeized gluon exchange at leading power and leading logarithm, so the EEC reaches BFKL physics rather than only the collinear and Sudakov limits.

Load-bearing premise

The load-bearing premise is Eq. (2.26): the proton-proton EEC is the partonic EEC convolved with parton distribution functions, which ignores initial-state radiation and any event where a measured detector direction does not come from the hard-scattered partons; the parton-level LO result does not depend on this premise, but the hadron-frame plots and the phenomenological claims do.

Editorial extensions

If this is right

  • The full-range hadron EEC is known analytically at leading order in pure gluon scattering, so the observable can now be evaluated anywhere in the ΔY–φ plane, not just near the collinear and back-to-back endpoints.
  • The celestial block expansion approximates the full result more accurately than a truncated power series away from the strict collinear limit, which is useful because hadronization effects dominate at very small opening angles.
  • In the collinear, opposite-coplanar, and back-to-back limits the LO EEC factorizes into a four-point amplitude times a jet function, a beam function, or a collinear-soft function, respectively, generalizing the established e+e− and transverse-EEC factorization structures.
  • In the Regge limit the EEC grows as ΔY³ ln ΔY with a nontrivial azimuthal denominator, and the amplitude side reproduces Lipatov's effective vertex, making the EEC a candidate probe of BFKL dynamics.
  • The block coefficients are analytic in transverse spin from j ≥ 4 upward, with explicit closed forms at fixed twist and γ, showing that spin-analyticity techniques transfer from conformal field theory to hadron-collider observables.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If transverse-spin analyticity persists beyond tree level, LHC data on the collinear regime could in principle be inverted to extract light-ray OPE data — the twist-2 and twist-4 gluon operator coefficients — as a measurement-level test of the light-ray OPE program; the paper establishes the tree-level pattern only.
  • The Regge-limit result positions the EEC as a fully differential, azimuthally resolved complement to Mueller-Navelet jets for BFKL studies; resumming the leading-power EEC in ΔY, which the paper leaves to future work, would turn this into a concrete prediction for the azimuthal signature.
  • The vanishing of the twist-2, transverse spin-2 block, a consequence of the tree-level MHV (maximal-helicity-violating) selection rule, implies that the azimuthal phase dependence of the leading collinear block is a clean null-test: observing a cos(2ψ) pattern in small-angle data would signal loop-induced spin-2 contributions.
  • Because the PDF-convolved block coefficients depend only on the two Mellin moments f̃(1+γ) and f̃(1−γ), a moment-space analysis could separate the collinear-spin spectrum from PDF uncertainties more cleanly than a direct fit in the three kinematic variables.
Share X Bluesky LinkedIn Reddit HN

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 7 minor

Summary. The paper initiates the study of the full-range energy-energy correlator at hadron colliders. It derives Lorentz-symmetric celestial blocks for the hadron-collider setup, Eqs. (2.23)-(2.24), built from 2d conformal blocks with an additional Mellin variable γ conjugate to the collinear spin of a 'light-ray transition matrix'. The main result is the claimed first analytic leading-order expression for the full-range EEC in pure Yang-Mills from the gg→ggg tree process, Eq. (3.7) (equivalently Eq. (3.9)), with polynomial coefficients in Appendix A. The paper expands this result in celestial blocks, extracts OPE coefficients, argues for analyticity in transverse spin via the Lorentzian inversion formula, and analyzes four kinematic limits: collinear, opposite coplanar, back-to-back, and Regge, the last reproducing Lipatov's effective vertex at leading-power, leading-logarithmic accuracy. It also gives landscape plots in the parton frame and after PDF convolution, and proposes a dijet setup for LHC measurements.

Significance. If the central formula is correct, the paper provides a substantial new analytic capability: a single observable connecting collinear, back-to-back, opposite-coplanar and Regge/BFKL physics, with a symmetry-based partial-wave decomposition that resums descendants and exhibits analyticity in transverse spin. The explicit structure of Eq. (3.7), the closed-form celestial block coefficients in Eqs. (3.15)-(3.17), and the Regge-limit check against Lipatov's vertex are valuable and will likely be used by the community. The paper is honest about the pure-gluon approximation and does not overclaim a complete factorization theorem. However, the advertised consistency checks are all internal to Eq. (3.7), and the derivation of the master formula is not shown in sufficient detail; the bootstrap of the rational coefficient A3 is explicitly acknowledged as incomplete, and the paper does not explain how the final A3 was actually fixed.

major comments (4)
  1. [3.1, Eqs. (3.6)-(3.7)] The reduction of the five-gluon phase-space integral (3.6) to the closed form (3.7) is asserted without derivation. The text states 'Substituting this into Eq. (3.6) and performing the integration, we obtain' and then presents the result. Since Eq. (3.7) is the load-bearing object for all subsequent claims, the authors should provide the integration method (e.g., Sudakov parametrization, sector decomposition, or Feynman parameters) or at least an independently reproducible verification, such as evaluating both sides of Eq. (3.6) at several phase-space points. Without this, the reader cannot distinguish an analytic derivation from a fitted or guessed expression.
  2. [3.1, after Eq. (3.11)] The bootstrap of the rational coefficient A3 is explicitly incomplete. The text states that after imposing the ζ→0 constraints 84 coefficients remain undetermined, and that the additional limiting-behavior constraints yield 70 conditions, which are 'not sufficient to fully bootstrap' A3. Yet Appendix A gives a definite A3. The paper does not explain how the remaining degrees of freedom (at least 14 coefficients) were fixed. If they were fixed by numerical matching to Eq. (3.6), the result is not an independently derived analytic expression; if by additional unstated constraints, those constraints should be described. The authors should specify the method and provide an independent verification of A3, for example by comparing Eq. (3.9) against a numerical evaluation of the right-hand side of Eq. (3.6) over a grid of kinematic points, to rule out an incorrect rational term.
  3. [4 (all subsections)] The verifications in Sec. 4—the collinear, opposite-coplanar, back-to-back, and Regge limiting behaviors—together with the celestial block expansion in Sec. 3.2, all use Eq. (3.7) (or Eq. (3.9)) as their starting point. They therefore cannot certify the master formula; the Regge-limit reproduction of Lipatov's vertex is a consistency check between Eq. (3.7) and the eikonal amplitude, not a verification of Eq. (3.7) itself. To substantiate the claim of an analytic result, the authors should compare Eq. (3.7) against a direct numerical integration of Eq. (3.4) over the full phase space, or provide an independent analytical reduction. The paper's own caveat in Sec. 3.1 that the bootstrap leaves coefficients undetermined makes this independent check necessary.
  4. [2.2, Eq. (2.26)] The hadron-level predictions in Sec. 5.2 rely on the factorization formula (2.26), which convolves the partonic EEC with PDFs and ignores initial-state radiation and any contribution where one or both measured directions are not associated with the hard-scattered partons. This is a reasonable approximation for a first study, but it is load-bearing for the hadron-frame plots and for the claim that the full-range EEC probes the full phase space at the LHC. The authors should either soften this claim or explicitly state that the plotted observable is not the complete hadronic EEC and that initial-state radiation and multi-parton interactions are neglected.
minor comments (7)
  1. [3.1, Eq. (3.3)] The notation for the helicity/color summation and the averaging over initial-state color and helicity could be made more explicit; currently the overline is said to denote averaging but the exact normalization is not given.
  2. [3.1, text below Eq. (3.6)] The claim that aligning p3 with Ωa and p4 with Ωb 'cancels out' the 1/3! symmetry factor deserves more explanation, since the indistinguishability of the three final-state gluons might otherwise require a different combinatorial factor.
  3. [4.1, Eq. (4.4)] The symbol Y is used both for the rapidity and for e^Y (Eq. (4.4), 'Y = e^Y'), which is confusing; a different symbol for the exponential variable would clarify the equations in Sec. 4.
  4. [4.3, after Eq. (4.34)] The phrase 'we find obtain the LO EEC' contains a typo and should read 'we obtain the LO EEC'.
  5. [3.1, Eq. (3.9)] The symmetrization shorthand '(ya ↔ yb) + (ya → −ya, yb → −yb) + ...' is not defined precisely; the order of operations and the combined symmetrization should be spelled out.
  6. [Appendix A and Introduction] The ancillary files EEC_result.m and EEC_result_all_channel.m are mentioned in the Introduction and Appendix A, but they are not explicitly linked or described in terms of their contents, conventions, or how they relate to the printed formulas in Eqs. (3.7) and (3.9).
  7. [References] Reference [65] is incomplete: 'CMS Collaboration, Energy-energy correlators from PbPb and pp collisions at 5.02 TeV, .' has no arXiv identifier or journal reference.

Circularity Check

1 steps flagged · score 2.0 of 10

Central LO result is a direct perturbative calculation; only peripheral self-consistency checks are non-independent.

  1. other [Section 3.2, after Eq. (3.13), and Eqs. (3.14)-(3.15)]
    "Using the celestial block defined in Sec. 2.2, we can expand our EEC result Eq. (3.7) in the OPE limit (collinear limit). This expansion serves as an alternative representation of our result, which can also provide an independent consistency check once we identify the operators appearing in the OPE."

    The block coefficients are extracted by expanding Eq. (3.7) itself: the text says that to extract the OPE coefficients one first expands F_gg(r,t,w_p) as a Laurent series around r = 0 and matches the terms to G^(gamma)_{delta,j}(r,t). The later agreement between the block expansion and Eq. (3.7) is therefore built in by construction; it is a self-consistency check, not an independent verification of the master formula. This does not make Eq. (3.7) circular, because the block basis is not used to derive Eq. (3.7), but the advertised 'independent consistency check' reduces to comparing a function with its own expansion.

full rationale

The paper's central claim, the first LO analytic result for the full-range hadron-collider EEC in pure Yang-Mills theory, is a direct perturbative phase-space integral starting from the Parke-Taylor 5-gluon amplitude: Eq. (3.4) is reduced to Eq. (3.6) and integrated to Eq. (3.7). No parameter is fitted and then renamed as a prediction, so the main derivation is not circular. The factorization limits in Sec. 4 are derived from the same starting integral (3.6) using standard collinear, soft, and eikonal approximations, and their agreement with limits of Eq. (3.7) provides genuine cross-checks rather than input-output circularity. The celestial-block expansion (Sec. 3.2) and the Lorentzian-inversion comparisons (Sec. 3.3) take Eq. (3.7) as their own input, so they are self-consistency checks rather than independent tests; I flag the one explicit 'independent consistency check' claim accordingly. The A3 bootstrap is explicitly acknowledged as incomplete ('Although these are not sufficient to fully bootstrap the functional form of A3'), which is a reproducibility and verification gap, not circularity. Self-citations are numerous but are not load-bearing for the derivation of Eq. (3.7). Overall, no significant circularity is present; the score reflects the minor non-independent consistency framing.

Assumptions & free parameters 0 free parameters · 5 assumptions · 0 invented entities

The central claim rests on a direct QCD amplitude calculation with no fitted constants, so the free-parameter count is zero. The main assumptions are standard perturbative QCD technology plus three domain-specific assumptions: PDF-convolution factorization, gluon-only LO dominance in pure YM, and the applicability of Lorentzian inversion. The A3 rational-coefficient ansatz is an ad hoc input whose final coefficients are not fully derived in the text.

assumptions (5)
  • domain assumption The hadron-level EEC can be expressed as a PDF convolution over partonic EEC matrix elements, Eq. (2.26).
    Assumed schematic factorization; no proof that initial-state radiation or multi-parton final states do not contribute. Load-bearing for hadron-frame claims.
  • domain assumption At leading order, the nonzero EEC in the bulk comes solely from the gg -> ggg process; gg -> gg contributes only at coincident or back-to-back directions.
    Sec. 3.1 states that for generic detector configurations the first nontrivial contribution arises from the gg -> ggg tree-level process. Assumes no other LO partonic channels contribute in pure YM.
  • standard math The 5-gluon tree amplitude is summed using the Parke-Taylor formula and color decomposition, Eqs. (3.1)-(3.3).
    Standard QCD amplitude technology; accepted background.
  • domain assumption The Lorentzian inversion formula applies to the tree-level EEC to extract OPE coefficients analytic in transverse spin.
    Sec. 3.3 assumes the celestial block expansion has the analytic structure required for the inversion formula, and that low-spin discrepancies are benign.
  • ad hoc to paper The ansatz for the rational coefficient A3 in Eq. (3.11), with specified polynomial degrees and symmetries, is sufficient, and the residual coefficients after the listed constraints are fixed by an unspecified calculation.
    Sec. 3.1 states the constraints are not sufficient to fully bootstrap A3, but the final A3 is presented in Appendix A without explaining how the remaining coefficients were determined.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities." pith.science (2026). https://pith.science/paper/ER4IFGC7

@misc{pith2026250516753,
  author       = {Pith},
  title        = {Pith review of: Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ER4IFGC7}},
  note         = {Machine review of arXiv:2505.16753}
}
abstract

Energy-energy correlator (EEC) is an event shape observable that characterizes the distribution of energy flux in collision events. We initiate the study of full-range EEC at hadron colliders, generalizing the extensively studied EEC in $e^+e^-$ collision as well as the transverse EEC in hadron collisions. We derive celestial blocks from Lorentz symmetry to perform partial wave decomposition of the EEC at hadron colliders. These celestial blocks are essentially conformal blocks on the 2d celestial sphere, which have additional dependence on the collinear spin of ``light-ray transition matrix'' along the collision axis. In this work, we perform the first leading-order (LO) analytic calculation of this observable in pure Yang-Mills theory and use it as an example to illustrate the block decomposition. Numerically, the block expansion demonstrates superior accuracy in the collinear limit compared to conventional power series expansion. Analytically, we observe in this example that the block coefficients exhibit analyticity in both collinear and transverse spin. In addition, we analyze several kinematic limits at LO -- collinear, back-to-back, opposite coplanar and Regge limit. While the first three limits naturally generalize their $e^+e^-$ collision counterparts or transverse EEC and are governed by soft-collinear dynamics, the Regge limit requires complete angular dependence and reveals BFKL physics. Phenomenologically, we propose a realistic experimental setup and briefly discuss how the convolution of parton distribution function modifies the perturbative EEC result. Our work suggests that the full-range EEC at hadron colliders is an elegant observable which probes a broader kinematic space and connects various regimes of different QCD dynamics through a single measurement.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Energy Correlators of Spinning Sources

    hep-ph 2025-12 conditional novelty 7.0 of 10

    Spinning energy correlators classify the full Euler-angle dependence of N-point energy flux, obey generalized Hofman–Maldacena positivity bounds, and their ratios to inclusive correlators in QCD are largely insensitiv...

  2. Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.

  3. Benchmarking the Nearside Energy-Energy Correlators with Mellin Transform

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A Mellin-transform framework with one fitted transition scale Λ describes nearside EECs in e+e− annihilation at NNLO+NNLL accuracy across ALEPH and earlier data.

  4. Energy-energy correlators inside single inclusive jets in heavy-ion collisions with CoLBT-hydro model

    hep-ph 2026-05 unverdicted novelty 6.0 of 10

    Updated CoLBT-hydro simulations with Q_M=2.0 GeV reproduce CMS in-jet EEC data, validate background subtraction, and show path-length and diffusion-wake effects.

  5. Energy correlators in four-dimensional gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.

  6. Factorization and Resummation for the Nearside Energy-Energy Correlators

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A new all-order resummation formula in Fourier b_T-space for the nearside energy-energy correlator, derived from di-hadron fragmentation functions, matches fixed-order calculations and predicts a small-angle turnover.

Reference graph

Works this paper leans on

196 extracted references · 5 canonical work pages · cited by 6 Pith papers

  1. [1]

    C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love,Energy correlations in electron - positron annihilation: Testing QCD, Phys. Rev. Lett.41 (1978), no. RLO-1388-759 1585

    1978

  2. [2]

    C. L. Basham, L. S. Brown, S. D. Ellis, and S. T. Love,Energy correlations in electron-Positron annihilation in quantum chromodynamics: Asymptotically free perturbation theory, Phys. Rev. D19 (1979), no. RLO-1388-761 2018

    1979

  3. [3]

    Sveshnikov and F

    N. Sveshnikov and F. Tkachov,Jets and quantum field theory, Phys.Lett. B382 (1996) 403–408, [hep-ph/9512370]

    arXiv 1996

  4. [4]

    G. P. Korchemsky and G. F. Sterman,Power corrections to event shapes and factorization, Nucl.Phys. B555 (1999), no. ITP-SB-98-73, LPT-ORSAY-98-80 335–351, [hep-ph/9902341]

    arXiv 1999

  5. [5]

    C. W. Bauer, S. P. Fleming, C. Lee, and G. F. Sterman,Factorization of e+e- event shape distributions with hadronic final states in soft collinear effective theory, Phys. Rev. D78 (2008), no. UCB-PTH-08-02, YITP-SB-08-02 034027, [arXiv:0801.4569]

    arXiv 2008

  6. [6]

    D. M. Hofman and J. Maldacena,Conformal collider physics: Energy and charge correlations, JHEP 05 (2008) 012, [arXiv:0803.1467]. – 49 –

    arXiv 2008

  7. [7]

    A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov,From correlation functions to event shapes, Nucl. Phys. B884 (2014), no. CERN-PH-TH-2013-211, IPHT-T13-210, LAPTH-047-13 305–343, [arXiv:1309.0769]

    arXiv 2014

  8. [8]

    A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov, Energy-energy correlations in N=4 supersymmetric yang-mills theory, Phys. Rev. Lett.112 (2014), no. CERN-PH-TH-2013-282, IPHT-13-264, LAPTH-069-13 071601, [arXiv:1311.6800]

    arXiv 2014

Show all 196 references
  1. [9]

    A. V. Belitsky, S. Hohenegger, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov,Event shapes in N=4 super-Yang-Mills theory, Nucl. Phys. B884 (2014), no. CERN-PH-TH-2013-212 206–256, [arXiv:1309.1424]

    2014 arXiv

  2. [10]

    J. M. Henn, E. Sokatchev, K. Yan, and A. Zhiboedov,Energy-energy correlation inN=4 super Yang-Mills theory at next-to-next-to-leading order, Phys. Rev. D100 (2019), no. 3 036010, [arXiv:1903.05314]

    2019 arXiv

  3. [11]

    Chicherin, J

    D. Chicherin, J. M. Henn, E. Sokatchev, and K. Yan,From correlation functions to event shapes in QCD, JHEP 02 (2021) 053, [arXiv:2001.10806]

    2021 arXiv

  4. [12]

    L. J. Dixon, M.-X. Luo, V. Shtabovenko, T.-Z. Yang, and H. X. Zhu,Analytical computation of energy-energy correlation at next-to-leading order in QCD, Phys. Rev. Lett. 120 (2018), no. SLAC-PUB-17203 102001, [arXiv:1801.03219]

    2018 arXiv

  5. [13]

    M.-x. Luo, V. Shtabovenko, T.-Z. Yang, and H. X. Zhu,Analytic next-to-leading order calculation of energy-energy correlation in gluon-initiated higgs decays, JHEP 06 (2019) 037, [arXiv:1903.07277]

    2019 arXiv

  6. [14]

    J. Gao, V. Shtabovenko, and T.-Z. Yang,Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO, JHEP 02 (2021), no. P3H-20-060, TTP20-035, ZU-TH 18/20 210, [arXiv:2012.14188]

    2021 arXiv

  7. [15]

    Del Duca, C

    V. Del Duca, C. Duhr, A. Kardos, G. Somogyi, and Z. Trócsányi,Three-jet production in electron-positron collisions at next-to-next-to-leading order accuracy, Phys. Rev. Lett.117 (2016), no. 15 152004, [arXiv:1603.08927]

    2016 arXiv

  8. [16]

    Del Duca, C

    V. Del Duca, C. Duhr, A. Kardos, G. Somogyi, Z. Szőr, Z. Trócsányi, and Z. Tulipánt,Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions, Phys. Rev. D94 (2016), no. CERN-TH-2016-138, CP3-16-29, NSF-KITP-16-084 074019, [arXiv:1606.03453]

    2016 arXiv

  9. [17]

    Chen, M.-X

    H. Chen, M.-X. Luo, I. Moult, T.-Z. Yang, X. Zhang, and H. X. Zhu,Three point energy correlators in the collinear limit: symmetries, dualities and analytic results, JHEP 08 (2020), no. 08 028, [arXiv:1912.11050]

    2020 arXiv

  10. [18]

    H. Chen, I. Moult, X. Zhang, and H. X. Zhu,Rethinking jets with energy correlators: Tracks, resummation, and analytic continuation, Phys. Rev. D102 (2020), no. 5 054012, [arXiv:2004.11381]

    2020 arXiv

  11. [19]

    H. Chen, I. Moult, and H. X. Zhu,Quantum Interference in Jet Substructure from Spinning Gluons, Phys. Rev. Lett.126 (2021), no. 11 112003, [arXiv:2011.02492]

    2021 arXiv

  12. [20]

    H. Chen, I. Moult, and H. X. Zhu,Spinning gluons from the QCD light-ray OPE, JHEP 08 (2022) 233, [arXiv:2104.00009]

    2022 arXiv

  13. [21]

    Chang and D

    C.-H. Chang and D. Simmons-Duffin,Three-point energy correlators and the celestial block expansion, JHEP 02 (2023) 126, [arXiv:2202.04090]. – 50 –

    2023 arXiv

  14. [22]

    H. Chen, I. Moult, J. Sandor, and H. X. Zhu,Celestial blocks and transverse spin in the three-point energy correlator, JHEP 09 (2022) 199, [arXiv:2202.04085]

    2022 arXiv

  15. [23]

    Yan and X

    K. Yan and X. Zhang,Three-Point Energy Correlator in N=4 Supersymmetric Yang-Mills Theory, Phys. Rev. Lett.129 (2022), no. 2 021602, [arXiv:2203.04349]

    2022 arXiv

  16. [24]

    Yang and X

    T.-Z. Yang and X. Zhang,Analytic Computation of three-point energy correlator in QCD, JHEP 09 (2022) 006, [arXiv:2208.01051]

    2022 arXiv

  17. [25]

    Yang and X

    T.-Z. Yang and X. Zhang,Three-point energy correlators in hadronic Higgs boson decays, Phys. Rev. D109 (2024), no. 11 114036, [arXiv:2402.05174]

    2024 arXiv

  18. [26]

    Gao, T.-Z

    A. Gao, T.-Z. Yang, and X. Zhang,The Three-Point Energy Correlator in the Coplanar Limit, arXiv:2411.09428

    arXiv

  19. [27]

    Chicherin, I

    D. Chicherin, I. Moult, E. Sokatchev, K. Yan, and Y. Zhu,Collinear limit of the four-point energy correlator in N=4 supersymmetric Yang-Mills theory, Phys. Rev. D110 (2024), no. 9 L091901, [arXiv:2401.06463]

    2024 arXiv

  20. [28]

    S. He, X. Jiang, Q. Yang, and Y.-Q. Zhang,From squared amplitudes to energy correlators, arXiv:2408.04222

    arXiv

  21. [29]

    Hartman, S

    T. Hartman, S. Kundu, and A. Tajdini,Averaged Null Energy Condition from Causality, JHEP 07 (2017) 066, [arXiv:1610.05308]

    2017 arXiv

  22. [30]

    Faulkner, R

    T. Faulkner, R. G. Leigh, O. Parrikar, and H. Wang,Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition, JHEP 09 (2016) 038, [arXiv:1605.08072]

    2016 arXiv

  23. [31]

    D. M. Hofman, D. Li, D. Meltzer, D. Poland, and F. Rejon-Barrera,A Proof of the Conformal Collider Bounds, JHEP 06 (2016) 111, [arXiv:1603.03771]

    2016 arXiv

  24. [32]

    Cordova, J

    C. Cordova, J. Maldacena, and G. J. Turiaci,Bounds on OPE Coefficients from Interference Effects in the Conformal Collider, JHEP 11 (2017) 032, [arXiv:1710.03199]

    2017 arXiv

  25. [33]

    Hartman and G

    T. Hartman and G. Mathys,Averaged null energy and the renormalization group, JHEP 12 (2023) 139, [arXiv:2309.14409]

    2023 arXiv

  26. [34]

    Hartman and G

    T. Hartman and G. Mathys,Null energy constraints on two-dimensional RG flows, JHEP 01 (2024) 102, [arXiv:2310.15217]

    2024 arXiv

  27. [35]

    Hartman and G

    T. Hartman and G. Mathys,Light-ray sum rules and the c-anomaly, JHEP 08 (2024) 008, [arXiv:2405.10137]

    2024 arXiv

  28. [36]

    A. B. Zamolodchikov,Irreversibility of the flux of the renormalization group in a 2D field theory, JETP Lett. 43 (1986) 730–732

    1986

  29. [37]

    Komargodski and A

    Z. Komargodski and A. Schwimmer,On Renormalization Group Flows in Four Dimensions, JHEP 12 (2011) 099, [arXiv:1107.3987]

    2011 arXiv

  30. [38]

    Kravchuk and D

    P. Kravchuk and D. Simmons-Duffin,Light-ray operators in conformal field theory, JHEP 11 (2018), no. CALT-TH 2018-018 102, [arXiv:1805.00098]

    2018 arXiv

  31. [39]

    Caron-Huot, M

    S. Caron-Huot, M. Kologlu, P. Kravchuk, D. Meltzer, and D. Simmons-Duffin,Detectors in weakly-coupled field theories, JHEP 04 (2023) 014, [arXiv:2209.00008]

    2023 arXiv

  32. [40]

    I. I. Balitsky and V. M. Braun,Evolution equations for QCD string operators, Nucl. Phys. B311 (1989), no. LENINGRAD-87-1351 541–584. – 51 –

    1989

  33. [41]

    Kologlu, P

    M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov,The light-ray OPE and conformal colliders, JHEP 01 (2021) 128, [arXiv:1905.01311]

    2021 arXiv

  34. [42]

    Chang, M

    C.-H. Chang, M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov,Transverse spin in the light-ray OPE, JHEP 05 (2022) 059, [arXiv:2010.04726]

    2022 arXiv

  35. [43]

    L. F. Alday and J. M. Maldacena,Comments on operators with large spin, JHEP 11 (2007) 019, [arXiv:0708.0672]

    2007 arXiv

  36. [44]

    A. L. Fitzpatrick, J. Kaplan, D. Poland, and D. Simmons-Duffin,The Analytic Bootstrap and AdS Superhorizon Locality, JHEP 12 (2013) 004, [arXiv:1212.3616]

    2013 arXiv

  37. [45]

    Komargodski and A

    Z. Komargodski and A. Zhiboedov,Convexity and Liberation at Large Spin, JHEP 11 (2013) 140, [arXiv:1212.4103]

    2013 arXiv

  38. [46]

    L. F. Alday and A. Bissi,Higher-spin correlators, JHEP 10 (2013) 202, [arXiv:1305.4604]

    2013 arXiv

  39. [47]

    L. F. Alday, A. Bissi, and T. Lukowski,Large spin systematics in CFT, JHEP 11 (2015) 101, [arXiv:1502.07707]

    2015 arXiv

  40. [48]

    L. F. Alday and A. Zhiboedov,Conformal Bootstrap With Slightly Broken Higher Spin Symmetry, JHEP 06 (2016) 091, [arXiv:1506.04659]

    2016 arXiv

  41. [49]

    G. P. Korchemsky,Energy correlations in the end-point region, arXiv:1905.01444

    1905 arXiv

  42. [50]

    H. Chen, X. Zhou, and H. X. Zhu,Power corrections to energy flow correlations from large spin perturbation, JHEP 10 (2023) 132, [arXiv:2301.03616]

    2023 arXiv

  43. [51]

    L. J. Dixon, I. Moult, and H. X. Zhu,Collinear limit of the energy-energy correlator, Phys. Rev. D100 (2019), no. SLAC-PUB-17427, SLAC–PUB–17427 014009, [arXiv:1905.01310]

    2019 arXiv

  44. [52]

    Chen,QCD factorization from light-ray OPE, JHEP 01 (2024) 035, [arXiv:2311.00350]

    H. Chen,QCD factorization from light-ray OPE, JHEP 01 (2024) 035, [arXiv:2311.00350]

    2024 arXiv

  45. [53]

    Moult and H

    I. Moult and H. X. Zhu,Simplicity from recoil: The three-loop soft function and factorization for the energy-energy correlation, JHEP 08 (2018) 160, [arXiv:1801.02627]

    2018 arXiv

  46. [54]

    M. A. Ebert, B. Mistlberger, and G. Vita,The energy-energy correlation in the back-to-back limit at N3LO and N3LL′, arXiv:2012.07859

    2012 arXiv

  47. [55]

    C. Duhr, B. Mistlberger, and G. Vita,Four-Loop Rapidity Anomalous Dimension and Event Shapes to Fourth Logarithmic Order, Phys. Rev. Lett.129 (2022), no. 16 162001, [arXiv:2205.02242]

    2022 arXiv

  48. [56]

    Kologlu, P

    M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov,Shocks, Superconvergence, and a Stringy Equivalence Principle, JHEP 11 (2020) 096, [arXiv:1904.05905]

    2020 arXiv

  49. [57]

    Firat, A

    E. Firat, A. Monin, R. Rattazzi, and M. T. Walters,Flux correlators and semiclassics, JHEP 03 (2024) 067, [arXiv:2309.14428]

    2024 arXiv

  50. [58]

    Chicherin, G

    D. Chicherin, G. P. Korchemsky, E. Sokatchev, and A. Zhiboedov,Energy correlations in heavy states, JHEP 11 (2023) 134, [arXiv:2306.14330]

    2023 arXiv

  51. [59]

    H. Chen, R. Karlsson, and A. Zhiboedov,Energy correlations and Planckian collisions, arXiv:2404.15056

    arXiv

  52. [60]

    Gonzo and A

    R. Gonzo and A. Pokraka,Light-ray operators, detectors and gravitational event shapes, JHEP 05 (2021) 015, [arXiv:2012.01406]

    2021 arXiv

  53. [61]

    Herrmann, M

    E. Herrmann, M. Kologlu, and I. Moult,Energy Correlators in Perturbative Quantum Gravity, arXiv:2412.05384. – 52 –

    arXiv

  54. [62]

    Cuomo, E

    G. Cuomo, E. Firat, F. Nardi, and L. Ricci,Conformal Collider Physics at Large Charge, arXiv:2503.21867

    arXiv

  55. [63]

    Hayrapetyan et al.,Measurement of Energy Correlators inside Jets and Determination of the Strong CouplingαS(mZ), Phys

    CMS Collaboration, A. Hayrapetyan et al.,Measurement of Energy Correlators inside Jets and Determination of the Strong CouplingαS(mZ), Phys. Rev. Lett.133 (2024), no. 7 071903, [arXiv:2402.13864]

    2024 arXiv

  56. [64]

    Acharya et al.,Exposing the parton-hadron transition within jets with energy-energy correlators in pp collisions at√s = 5.02 TeV, arXiv:2409.12687

    ALICE Collaboration, S. Acharya et al.,Exposing the parton-hadron transition within jets with energy-energy correlators in pp collisions at√s = 5.02 TeV, arXiv:2409.12687

    arXiv

  57. [65]

    CMS Collaboration, Energy-energy correlators from PbPb and pp collisions at 5.02 TeV,

  58. [66]

    Tamis,Measurement of Two-Point Energy Correlators Within1 Jets in p p Collisions at √s = 200 GeV at STAR, PoS HardProbes2023 (2024) 175, [arXiv:2309.05761]

    ST ARCollaboration, A. Tamis,Measurement of Two-Point Energy Correlators Within1 Jets in p p Collisions at √s = 200 GeV at STAR, PoS HardProbes2023 (2024) 175, [arXiv:2309.05761]

    2024 arXiv

  59. [67]

    Acharya et al.,Energy-energy correlators in charm-tagged jets in proton-proton collisions at√s = 13 TeV, arXiv:2504.03431

    ALICE Collaboration, S. Acharya et al.,Energy-energy correlators in charm-tagged jets in proton-proton collisions at√s = 13 TeV, arXiv:2504.03431

    arXiv

  60. [68]

    Chekhovsky et al.,Observation of nuclear modification of energy-energy correlators inside jets in heavy ion collisions, arXiv:2503.19993

    CMS Collaboration, V. Chekhovsky et al.,Observation of nuclear modification of energy-energy correlators inside jets in heavy ion collisions, arXiv:2503.19993

    arXiv

  61. [69]

    P. T. Komiske, I. Moult, J. Thaler, and H. X. Zhu,Analyzing N-Point Energy Correlators inside Jets with CMS Open Data, Phys. Rev. Lett.130 (2023), no. 5 051901, [arXiv:2201.07800]

    2023 arXiv

  62. [70]

    W. Chen, J. Gao, Y. Li, Z. Xu, X. Zhang, and H. X. Zhu,NNLL resummation for projected three-point energy correlator, JHEP 05 (2024) 043, [arXiv:2307.07510]

    2024 arXiv

  63. [71]

    Y. Li, I. Moult, S. S. van Velzen, W. J. Waalewijn, and H. X. Zhu,Extending Precision Perturbative QCD with Track Functions, Phys. Rev. Lett.128 (2022), no. 18 182001, [arXiv:2108.01674]

    2022 arXiv

  64. [72]

    Jaarsma, Y

    M. Jaarsma, Y. Li, I. Moult, W. Waalewijn, and H. X. Zhu,Renormalization group flows for track function moments, JHEP 06 (2022) 139, [arXiv:2201.05166]

    2022 arXiv

  65. [73]

    Jaarsma, Y

    M. Jaarsma, Y. Li, I. Moult, W. J. Waalewijn, and H. X. Zhu,Energy correlators on tracks: resummation and non-perturbative effects, JHEP 12 (2023) 087, [arXiv:2307.15739]

    2023 arXiv

  66. [74]

    Lee and I

    K. Lee and I. Moult,Joint Track Functions: Expanding the Space of Calculable Correlations at Colliders, arXiv:2308.01332

    arXiv

  67. [75]

    Lee and I

    K. Lee and I. Moult,Energy Correlators Taking Charge, arXiv:2308.00746

    arXiv

  68. [76]

    Liu and H

    X. Liu and H. X. Zhu,Nucleon Energy Correlators, Phys. Rev. Lett.130 (2023), no. 9 091901, [arXiv:2209.02080]

    2023 arXiv

  69. [77]

    H.-Y. Liu, X. Liu, J.-C. Pan, F. Yuan, and H. X. Zhu,Nucleon Energy Correlators for the Color Glass Condensate, Phys. Rev. Lett.130 (2023), no. 18 181901, [arXiv:2301.01788]

    2023 arXiv

  70. [78]

    H. Cao, X. Liu, and H. X. Zhu,Toward precision measurements of nucleon energy correlators in lepton-nucleon collisions, Phys. Rev. D107 (2023), no. 11 114008, [arXiv:2303.01530]

    2023 arXiv

  71. [79]

    X. L. Li, X. Liu, F. Yuan, and H. X. Zhu,Illuminating nucleon-gluon interference via calorimetric asymmetry, Phys. Rev. D108 (2023), no. 9 L091502, [arXiv:2308.10942]

    2023 arXiv

  72. [80]

    Liu and H

    X. Liu and H. X. Zhu,TMDs from Semi-inclusive Energy Correlators, arXiv:2403.08874. – 53 –

    arXiv

  73. [81]

    X. Liu, W. Vogelsang, F. Yuan, and H. X. Zhu,Universality in the Near-Side Energy-Energy Correlator, arXiv:2410.16371

    arXiv

  74. [82]

    Chen, J.-P

    K.-B. Chen, J.-P. Ma, and X.-B. Tong,The connection between nucleon energy correlators and fracture functions, JHEP 08 (2024) 227, [arXiv:2406.08559]

    2024 arXiv

  75. [83]

    Y. Guo, X. Liu, F. Yuan, and H. X. Zhu,Long Range Azimuthal Correlation, Entanglement and Bell Inequality Violation by Spinning Gluons at the LHC, arXiv:2406.05880

    arXiv

  76. [84]

    Holguin, I

    J. Holguin, I. Moult, A. Pathak, and M. Procura,New paradigm for precision top physics: Weighing the top with energy correlators, Phys. Rev. D107 (2023), no. 11 114002, [arXiv:2201.08393]

    2023 arXiv

  77. [85]

    M. Xiao, Y. Ye, and X. Zhu,Prospect of measuring the top quark mass through energy correlators, JHEP 10 (2024) 088, [arXiv:2405.20001]

    2024 arXiv

  78. [86]

    Holguin, I

    J. Holguin, I. Moult, A. Pathak, M. Procura, R. Schöfbeck, and D. Schwarz,Top Quark Mass Extractions from Energy Correlators: A Feasibility Study, arXiv:2407.12900

    arXiv

  79. [87]

    Holguin, I

    J. Holguin, I. Moult, A. Pathak, M. Procura, R. Schöfbeck, and D. Schwarz,Using the W as a Standard Candle to Reach the Top: Calibrating Energy Correlator Based Top Mass Measurements, arXiv:2311.02157

    arXiv

  80. [88]

    Andres, F

    C. Andres, F. Dominguez, R. Kunnawalkam Elayavalli, J. Holguin, C. Marquet, and I. Moult,Resolving the Scales of the Quark-Gluon Plasma with Energy Correlators, Phys. Rev. Lett.130 (2023), no. 26 262301, [arXiv:2209.11236]

    2023 arXiv

  81. [89]

    Andres, F

    C. Andres, F. Dominguez, J. Holguin, C. Marquet, and I. Moult,A coherent view of the quark-gluon plasma from energy correlators, JHEP 09 (2023) 088, [arXiv:2303.03413]

    2023 arXiv

  82. [90]

    Andres, F

    C. Andres, F. Dominguez, J. Holguin, C. Marquet, and I. Moult,Seeing beauty in the quark-gluon plasma with energy correlators, Phys. Rev. D110 (2024), no. 3 L031503, [arXiv:2307.15110]

    2024 arXiv

  83. [91]

    Andres, F

    C. Andres, F. Dominguez, J. Holguin, C. Marquet, and I. Moult,Towards an Interpretation of the First Measurements of Energy Correlators in the Quark-Gluon Plasma, arXiv:2407.07936

    arXiv

  84. [92]

    Andres, J

    C. Andres, J. Holguin, R. Kunnawalkam Elayavalli, and J. Viinikainen,Minimizing Selection Bias in Inclusive Jets in Heavy-Ion Collisions with Energy Correlators, arXiv:2409.07514

    arXiv

  85. [93]

    Andres, F

    C. Andres, F. Dominguez, J. Holguin, C. Marquet, and I. Moult,Simple Scaling Laws for Energy Correlators in Nuclear Matter, arXiv:2411.15298

    arXiv

  86. [94]

    Z. Yang, Y. He, I. Moult, and X.-N. Wang,Probing the Short-Distance Structure of the Quark-Gluon Plasma with Energy Correlators, Phys. Rev. Lett.132 (2024), no. 1 011901, [arXiv:2310.01500]

    2024 arXiv

  87. [95]

    J. a. Barata, P. Caucal, A. Soto-Ontoso, and R. Szafron,Advancing the understanding of energy-energy correlators in heavy-ion collisions, JHEP 11 (2024) 060, [arXiv:2312.12527]

    2024 arXiv

  88. [96]

    J. a. Barata, M. V. Kuzmin, J. G. Milhano, and A. V. Sadofyev,Jet EEC aWAKEning: hydrodynamic response on the celestial sphere, arXiv:2412.03616

    arXiv

  89. [97]

    J. a. Barata, Z.-B. Kang, X. Mayo López, and J. Penttala,Energy-Energy Correlator for jet production in pp and pA collisions, arXiv:2411.11782. – 54 –

    arXiv

  90. [98]

    J. a. Barata, I. Moult, and J. a. M. Silva,Tracking Energy Loss in Heavy Ion Collisions, arXiv:2409.18174

    arXiv

  91. [99]

    Singh and V

    B. Singh and V. Vaidya,Factorization for energy-energy correlator in heavy ion collision, arXiv:2408.02753

    arXiv

  92. [100]

    Bossi, A

    H. Bossi, A. S. Kudinoor, I. Moult, D. Pablos, A. Rai, and K. Rajagopal,Imaging the wakes of jets with energy-energy-energy correlators, JHEP 12 (2024) 073, [arXiv:2407.13818]

    2024 arXiv

  93. [101]

    K. Lee, B. Meçaj, and I. Moult,Conformal Colliders Meet the LHC, arXiv:2205.03414

    arXiv

  94. [102]

    Craft, K

    E. Craft, K. Lee, B. Meçaj, and I. Moult,Beautiful and Charming Energy Correlators, arXiv:2210.09311

    arXiv

  95. [103]

    Alipour-fard, A

    S. Alipour-fard, A. Budhraja, J. Thaler, and W. J. Waalewijn,New Angles on Energy Correlators, arXiv:2410.16368

    arXiv

  96. [104]

    Budhraja, H

    A. Budhraja, H. Chen, and W. J. Waalewijn,ν-point energy correletors with FastEEC: small-x physics from LHC jets, arXiv:2409.12235

    arXiv

  97. [105]

    Budhraja and W

    A. Budhraja and W. J. Waalewijn,FastEEC: Fast Evaluation of N-point Energy Correlators, arXiv:2406.08577

    arXiv

  98. [106]

    H. T. Li, Y. Makris, and I. Vitev,Energy-energy correlators in Deep Inelastic Scattering, Phys. Rev. D103 (2021), no. 9 094005, [arXiv:2102.05669]

    2021 arXiv

  99. [107]

    H. T. Li, I. Vitev, and Y. J. Zhu,Transverse-energy-energy correlations in deep inelastic scattering, JHEP 11 (2020) 051, [arXiv:2006.02437]

    2020 arXiv

  100. [108]

    Y. Guo, X. Liu, and F. Yuan,Long Range Energy-energy Correlator at the LHC, arXiv:2408.14693

    arXiv

  101. [109]

    S. T. Schindler, I. W. Stewart, and Z. Sun,Renormalons in the energy-energy correlator, JHEP 10 (2023) 187, [arXiv:2305.19311]. [Erratum: JHEP 10, 175 (2024)]

    2023 arXiv

  102. [110]

    K. Lee, A. Pathak, I. W. Stewart, and Z. Sun,Nonperturbative Effects in Energy Correlators: From Characterizing Confinement Transition to Improvingαs Extraction, Phys. Rev. Lett.133 (2024), no. 23 231902, [arXiv:2405.19396]

    2024 arXiv

  103. [111]

    Z.-B. Kang, K. Lee, D. Y. Shao, and F. Zhao,Collins-type Energy-Energy Correlators and Nucleon Structure, in30th International Workshop on Deep-Inelastic Scattering and Related Subjects, 7, 2023. arXiv:2307.06935

    2023 arXiv

  104. [112]

    Z.-B. Kang, K. Lee, D. Y. Shao, and F. Zhao,Probing transverse momentum dependent structures with azimuthal dependence of energy correlators, JHEP 03 (2024) 153, [arXiv:2310.15159]

    2024 arXiv

  105. [113]

    Csáki, S

    C. Csáki, S. Ferrante, and A. Ismail,Holographic Energy Correlators for Soft Walls, arXiv:2412.02738

    arXiv

  106. [114]

    Csáki and A

    C. Csáki and A. Ismail,Holographic energy correlators for confining theories, JHEP 11 (2024) 140, [arXiv:2403.12123]

    2024 arXiv

  107. [115]

    Riembau and M

    M. Riembau and M. Son,One-point correlators of conserved and nonconserved charges in QCD, Phys. Rev. D111 (2025), no. 1 014004, [arXiv:2407.12082]

    2025 arXiv

  108. [116]

    A.-P. Chen, X. Liu, and Y.-Q. Ma,Shedding Light on Hadronization by Quarkonium Energy Correlator, Phys. Rev. Lett.133 (2024) 19, [arXiv:2405.10056]. – 55 –

    2024 arXiv

  109. [117]

    H. Cao, H. T. Li, and Z. Mi,Bjorken x weighted energy-energy correlators from the target fragmentation region to the current fragmentation region, Phys. Rev. D109 (2024), no. 9 096004, [arXiv:2312.07655]

    2024 arXiv

  110. [118]

    Devereaux, W

    K. Devereaux, W. Fan, W. Ke, K. Lee, and I. Moult,Imaging Cold Nuclear Matter with Energy Correlators, arXiv:2303.08143

  111. [119]

    J. a. Barata, J. G. Milhano, and A. V. Sadofyev,Picturing QCD jets in anisotropic matter: from jet shapes to energy energy correlators, Eur. Phys. J. C84 (2024), no. 2 174, [arXiv:2308.01294]

    2024 arXiv

  112. [120]

    Ricci and M

    L. Ricci and M. Riembau,Energy correlators of hadronically decaying electroweak bosons, Phys. Rev. D106 (2022), no. 11 114010, [arXiv:2207.03511]

    2022 arXiv

  113. [121]

    H. Chen, I. Moult, J. Thaler, and H. X. Zhu,Non-Gaussianities in collider energy flux, JHEP 07 (2022) 146, [arXiv:2205.02857]

    2022 arXiv

  114. [122]

    K. Lee, F. Turro, and X. Yao,Quantum Computing for Energy Correlators, arXiv:2409.13830

    arXiv

  115. [123]

    J. a. Barata and S. Mukherjee,Probing Celestial Energy and Charge Correlations through Real-Time Quantum Simulations: Insights from the Schwinger Model, arXiv:2409.13816

    arXiv

  116. [124]

    Z. Lin, M. Ruan, M. Xiao, and Z. Xu,Extracting αS at future e+e− Higgs factory with energy correlators, arXiv:2406.10946

    arXiv

  117. [125]

    Alipour-fard and W

    S. Alipour-fard and W. J. Waalewijn,Energy Correlators Beyond Angles, arXiv:2501.17218

  118. [126]

    Bhattacharya, Z.-B

    S. Bhattacharya, Z.-B. Kang, D. Padilla, and J. Penttala,Probing the Sivers Asymmetry with Transverse Energy-Energy Correlators in the Small-x Regime, arXiv:2504.10475

    arXiv

  119. [127]

    Mäntysaari, Y

    H. Mäntysaari, Y. Tawabutr, and X.-B. Tong,Nucleon Energy Correlators for the Odderon, arXiv:2503.20157

    arXiv

  120. [128]

    Budhraja and B

    A. Budhraja and B. Singh,Exploiting ν-dependence of projected energy correlators in HICs, arXiv:2503.20019

  121. [129]

    J. a. Barata, I. Moult, A. V. Sadofyev, and J. a. M. Silva,Dissecting Jet Modification in the QGP with Multi-Point Energy Correlators, arXiv:2503.13603

    arXiv

  122. [130]

    Apolinário, R

    L. Apolinário, R. Kunnawalkam Elayavalli, N. O. Madureira, J.-X. Sheng, X.-N. Wang, and Z. Yang,Flavor dependence of Energy-energy correlators, arXiv:2502.11406

    arXiv

  123. [131]

    A. Ali, E. Pietarinen, and W. J. Stirling,Transverse energy-energy correlations: A test of perturbative QCD for the proton-antiproton collider, Physics Letters B141 (July, 1984) 447–454

    1984

  124. [132]

    A TLASCollaboration, G. Aad et al.,Measurement of transverse energy-energy correlations in multi-jet events inpp collisions at √s = 7 TeV using the ATLAS detector and determination of the strong coupling constantαs(mZ), Phys. Lett. B750 (2015) 427–447, [arXiv:1508.01579]

    2015 arXiv

  125. [133]

    Aaboud et al.,Determination of the strong coupling constantαs from transverse energy–energy correlations in multijet events at√s = 8 TeV using the ATLAS detector, Eur

    A TLASCollaboration, M. Aaboud et al.,Determination of the strong coupling constantαs from transverse energy–energy correlations in multijet events at√s = 8 TeV using the ATLAS detector, Eur. Phys. J. C77 (2017), no. 12 872, [arXiv:1707.02562]

    2017 arXiv

  126. [134]

    A TLASCollaboration, G. Aad et al.,Determination of the strong coupling constant from – 56 – transverse energy−energy correlations in multijet events at√s = 13 TeV with the ATLAS detector, JHEP 07 (2023) 085, [arXiv:2301.09351]

    2023 arXiv

  127. [135]

    A. Ali, F. Barreiro, J. Llorente, and W. Wang,Transverse Energy-Energy Correlations in Next-to-Leading Order inαs at the LHC, Phys. Rev. D86 (2012) 114017, [arXiv:1205.1689]

    2012 arXiv

  128. [136]

    Alvarez, J

    M. Alvarez, J. Cantero, M. Czakon, J. Llorente, A. Mitov, and R. Poncelet,NNLO QCD corrections to event shapes at the LHC, JHEP 03 (2023) 129, [arXiv:2301.01086]

    2023 arXiv

  129. [137]

    A. Gao, H. T. Li, I. Moult, and H. X. Zhu,Precision QCD Event Shapes at Hadron Colliders: The Transverse Energy-Energy Correlator in the Back-to-Back Limit, Phys. Rev. Lett. 123 (2019), no. 6 062001, [arXiv:1901.04497]

    2019 arXiv

  130. [138]

    A. Gao, H. T. Li, I. Moult, and H. X. Zhu,The transverse energy-energy correlator at next-to-next-to-next-to-leading logarithm, JHEP 09 (2024) 072, [arXiv:2312.16408]

    2024 arXiv

  131. [139]

    Z.-B. Kang, J. Penttala, F. Zhao, and Y. Zhou,Transverse energy-energy correlators in the color-glass condensate at the electron-ion collider, Phys. Rev. D109 (2024), no. 9 094012, [arXiv:2311.17142]

    2024 arXiv

  132. [140]

    Z.-B. Kang, S. Lee, J. Penttala, F. Zhao, and Y. Zhou,Transverse Energy-Energy Correlator for Vector Boson-Tagged Hadron Production inpp and pA collisions, arXiv:2410.02747

    arXiv

  133. [141]

    V. N. Gribov,The theory of complex angular momenta: Gribov lectures on theoretical physics. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 6, 2007

    2007

  134. [142]

    J. R. Forshaw and D. A. Ross,Quantum Chromodynamics and the Pomeron, vol. 9. Oxford University Press, 1998

    1998

  135. [143]

    V. S. Fadin, E. A. Kuraev, and L. N. Lipatov,On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B60 (1975) 50–52

    1975

  136. [144]

    I. I. Balitsky and L. N. Lipatov,The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys.28 (1978) 822–829

    1978

  137. [145]

    Falcioni, E

    G. Falcioni, E. Gardi, N. Maher, C. Milloy, and L. Vernazza,Disentangling the Regge Cut and Regge Pole in Perturbative QCD, Phys. Rev. Lett.128 (2022), no. 13 132001, [arXiv:2112.11098]

    2022 arXiv

  138. [146]

    Caola, A

    F. Caola, A. Chakraborty, G. Gambuti, A. von Manteuffel, and L. Tancredi,Three-Loop Gluon Scattering in QCD and the Gluon Regge Trajectory, Phys. Rev. Lett.128 (2022), no. 21 212001, [arXiv:2112.11097]

    2022 arXiv

  139. [147]

    A. Gao, I. Moult, S. Raman, G. Ridgway, and I. W. Stewart,Reggeization in Color, arXiv:2411.09692

    arXiv

  140. [148]

    Cornalba, M

    L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa,Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions, JHEP 08 (2007) 019, [hep-th/0611122]

    2007 arXiv

  141. [149]

    Cornalba, M

    L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa,Eikonal Approximation in AdS/CFT: Conformal Partial Waves and Finite N Four-Point Functions, Nucl. Phys. B 767 (2007) 327–351, [hep-th/0611123]

    2007 arXiv

  142. [150]

    Cornalba, M

    L. Cornalba, M. S. Costa, and J. Penedones,Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion, JHEP 09 (2007) 037, [arXiv:0707.0120]. – 57 –

    2007 arXiv

  143. [151]

    Kulaxizi, A

    M. Kulaxizi, A. Parnachev, and A. Zhiboedov,Bulk Phase Shift, CFT Regge Limit and Einstein Gravity, JHEP 06 (2018) 121, [arXiv:1705.02934]

    2018 arXiv

  144. [152]

    D. Li, D. Meltzer, and D. Poland,Conformal Bootstrap in the Regge Limit, JHEP 12 (2017) 013, [arXiv:1705.03453]

    2017 arXiv

  145. [153]

    Catani and F

    S. Catani and F. Hautmann,High-energy factorization and small x deep inelastic scattering beyond leading order, Nucl. Phys. B427 (1994) 475–524, [hep-ph/9405388]

    1994 arXiv

  146. [154]

    L. N. Lipatov,Small x physics in perturbative QCD, Phys. Rept. 286 (1997) 131–198, [hep-ph/9610276]

    1997 arXiv

  147. [155]

    R. D. Ball, V. Bertone, M. Bonvini, S. Marzani, J. Rojo, and L. Rottoli,Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data, Eur. Phys. J. C78 (2018), no. 4 321, [arXiv:1710.05935]

    2018 arXiv

  148. [156]

    I. Z. Rothstein and I. W. Stewart,An effective field theory for forward scattering and factorization violation, JHEP 08 (2016), no. MIT-CTP-4655 025, [arXiv:1601.04695]

    2016 arXiv

  149. [157]

    Neill, A

    D. Neill, A. Pathak, and I. W. Stewart,Small-x factorization from effective field theory, JHEP 09 (2023) 089, [arXiv:2303.13710]

    2023 arXiv

  150. [158]

    Berera and D

    A. Berera and D. E. Soper,Behavior of diffractive parton distribution functions, Phys. Rev. D 53 (1996) 6162–6179, [hep-ph/9509239]

    1996 arXiv

  151. [159]

    J. C. Collins,Proof of factorization for diffractive hard scattering, Phys. Rev. D57 (1998) 3051–3056, [hep-ph/9709499]. [Erratum: Phys.Rev.D 61, 019902 (2000)]

    1998 arXiv

  152. [160]

    A. H. Mueller and H. Navelet,An Inclusive Minijet Cross-Section and the Bare Pomeron in QCD, Nucl. Phys. B282 (1987) 727–744

    1987

  153. [161]

    F. A. Dolan and H. Osborn,Conformal partial waves and the operator product expansion, Nucl. Phys. B678 (2004) 491–507, [hep-th/0309180]

    2004 arXiv

  154. [162]

    H. Chen, P. F. Monni, Z. Xu, and H. X. Zhu,Scaling Violation in Power Corrections to Energy Correlators from the Light-Ray Operator Product Expansion, Phys. Rev. Lett.133 (2024), no. 23 231901, [arXiv:2406.06668]

    2024 arXiv

  155. [163]

    A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov,Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory, Nucl. Phys. B241 (1984) 333–380

    1984

  156. [164]

    J. C. Collins, D. E. Soper, and G. F. Sterman,Factorization of hard processes in QCD, Adv. Ser. Direct. High Energy Phys.5 (1989), no. ITP-SB-89-31 1–91, [hep-ph/0409313]

    1989 arXiv

  157. [165]

    Collins,Foundations of perturbative QCD

    J. Collins,Foundations of perturbative QCD. Cambridge University Press, 2013

    2013

  158. [166]

    R. K. Ellis, W. J. Stirling, and B. R. Webber,QCD and collider physics, vol. 8. Cambridge University Press, 2, 2011

    2011

  159. [167]

    Dulat, T.-J

    S. Dulat, T.-J. Hou, J. Gao, M. Guzzi, J. Huston, P. Nadolsky, J. Pumplin, C. Schmidt, D. Stump, and C. P. Yuan,New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D93 (2016), no. 3 033006, [arXiv:1506.07443]

    2016 arXiv

  160. [168]

    NNPDF Collaboration, R. D. Ball et al.,Parton distributions from high-precision collider data, Eur. Phys. J. C77 (2017), no. 10 663, [arXiv:1706.00428]

    2017 arXiv

  161. [169]

    ’t Hooft,A Planar Diagram Theory for Strong Interactions, Nucl

    G. ’t Hooft,A Planar Diagram Theory for Strong Interactions, Nucl. Phys. B72 (1974) 461

    1974

  162. [170]

    Witten,Baryons in the 1/n Expansion, Nucl

    E. Witten,Baryons in the 1/n Expansion, Nucl. Phys. B160 (1979) 57–115. – 58 –

    1979

  163. [171]

    D. J. Gross and F. Wilczek,Ultraviolet behavior of nonabelian gauge theories, Phys. Rev. Lett. 30 (1973) 1343–1346

    1973

  164. [172]

    D. J. Gross and F. Wilczek,Asymptotically free gauge theories - I, Phys. Rev. D8 (1973), no. NAL-PUB-73-49-THY, FERMILAB-PUB-73-049-T 3633–3652

    1973

  165. [173]

    D. J. Gross and F. Wilczek,Asymptotically free gauge theories. 2., Phys. Rev. D9 (1974) 980–993

    1974

  166. [174]

    H. D. Politzer,Reliable Perturbative Results for Strong Interactions?, Phys. Rev. Lett.30 (1973) 1346–1349

    1973

  167. [175]

    C. W. Bauer, S. Fleming, and M. E. Luke,Summing Sudakov logarithms in B —¿ X(s gamma) in effective field theory, Phys. Rev. D63 (2000), no. UTPT-00-03 014006, [hep-ph/0005275]

    2000 arXiv

  168. [176]

    C. W. Bauer, S. Fleming, D. Pirjol, and I. W. Stewart,An Effective field theory for collinear and soft gluons: Heavy to light decays, Phys. Rev. D63 (2001), no. UCSD-PTH-00-28 114020, [hep-ph/0011336]

    2001 arXiv

  169. [177]

    C. W. Bauer and I. W. Stewart,Invariant operators in collinear effective theory, Phys. Lett. B516 (2001), no. UCSD-PTH-01-09 134–142, [hep-ph/0107001]

    2001 arXiv

  170. [178]

    C. W. Bauer, D. Pirjol, and I. W. Stewart,Soft collinear factorization in effective field theory, Phys. Rev. D65 (2002), no. UCSD-PTH-01-15 054022, [hep-ph/0109045]

    2002 arXiv

  171. [179]

    Konishi, A

    K. Konishi, A. Ukawa, and G. Veneziano,Jet calculus: a simple algorithm for resolving QCD jets, Nucl. Phys. B157 (1979), no. RL-79-026 45–107

    1979

  172. [180]

    Konishi, A

    K. Konishi, A. Ukawa, and G. Veneziano,A simple algorithm for QCD jets, Phys. Lett. 78B (1978), no. CERN-TH-2509 243–248

    1978

  173. [181]

    Konishi, A

    K. Konishi, A. Ukawa, and G. Veneziano,On the transverse spread of QCD jets, Phys. Lett. 80B (1979), no. CERN-TH-2577 259–264

    1979

  174. [182]

    Kalinowski, K

    J. Kalinowski, K. Konishi, P. N. Scharbach, and T. R. Taylor,Resolving qcd jets beyond leading order: Quark decay probabilities, Nucl. Phys. B181 (1981), no. CERN-TH-2917 253–276

    1981

  175. [183]

    D. G. Richards, W. J. Stirling, and S. D. Ellis,Second order corrections to the energy-energy correlation function in quantum chromodynamics, Phys. Lett. 119B (1982), no. DAMTP 82/18 193–197

    1982

  176. [184]

    S. J. Parke and T. R. Taylor,An Amplitude forn Gluon Scattering, Phys. Rev. Lett.56 (1986) 2459

    1986

  177. [185]

    Elvang and Y.-t

    H. Elvang and Y.-t. Huang,Scattering Amplitudes, arXiv:1308.1697

    arXiv

  178. [186]

    Homrich, D

    A. Homrich, D. Simmons-Duffin, and P. Vieira,Light-ray wave functions and integrability, JHEP 10 (2024) 125, [arXiv:2409.02160]

    2024 arXiv

  179. [187]

    Homrich, D

    A. Homrich, D. Simmons-Duffin, and P. Vieira,Complex Spin: The Missing Zeroes and Newton’s Dark Magic, arXiv:2211.13754

    arXiv

  180. [188]

    Henriksson, P

    J. Henriksson, P. Kravchuk, and B. Oertel,Missing local operators, zeros, and twist-4 trajectories, JHEP 07 (2024) 248, [arXiv:2312.09283]

    2024 arXiv

  181. [189]

    Kravchuk and J

    P. Kravchuk and J. A. Mann,AdS N-body problem at large spin, arXiv:2412.12328. – 59 –

  182. [190]

    Fardelli, A

    G. Fardelli, A. L. Fitzpatrick, and W. Li,Holography and Regge phases with U(1) charge, JHEP 08 (2024) 202, [arXiv:2403.07079]

    2024 arXiv

  183. [191]

    Caron-Huot,Analyticity in spin in conformal theories, JHEP 09 (2017) 078, [arXiv:1703.00278]

    S. Caron-Huot,Analyticity in spin in conformal theories, JHEP 09 (2017) 078, [arXiv:1703.00278]

    2017 arXiv

  184. [192]

    Simmons-Duffin, D

    D. Simmons-Duffin, D. Stanford, and E. Witten,A spacetime derivation of the Lorentzian OPE inversion formula, JHEP 07 (2018) 085, [arXiv:1711.03816]

    2018 arXiv

  185. [193]

    L. F. Alday and S. Caron-Huot,Gravitational S-matrix from CFT dispersion relations, JHEP 12 (2018) 017, [arXiv:1711.02031]

    2018 arXiv

  186. [194]

    E. A. Kuraev, L. N. Lipatov, and V. S. Fadin,Multi - Reggeon Processes in the Yang-Mills Theory, Sov. Phys. JETP44 (1976) 443–450

    1976

  187. [195]

    L. N. Lipatov,Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories, Sov. J. Nucl. Phys.23 (1976) 338–345

    1976

  188. [196]

    Bündgen, R

    L. Bündgen, R. V. Harlander, S. Y. Klein, and M. C. Schaaf,FeynGame 3.0, arXiv:2501.04651. – 60 –

Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.