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arxiv: 2602.05348 · v2 · submitted 2026-02-05 · ✦ hep-ph

Recognition: no theorem link

Resolved photoproduction of the B_c meson in electron-proton collisions

Na Cai , Xi-Jie Zhan , Tai-Fu Feng
Authors on Pith no claims yet

Pith reviewed 2026-05-16 07:33 UTC · model grok-4.3

classification ✦ hep-ph
keywords B_c mesonphotoproductionNRQCD factorizationresolved contributionselectron-proton collisionsgluon-gluon channeltransverse momentum distributions
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The pith

Resolved gluon-gluon processes contribute up to 10 percent to B_c meson photoproduction at electron-proton colliders, especially at low transverse momentum.

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

The paper calculates production rates for the B_c meson in electron-proton collisions within the nonrelativistic QCD factorization framework. It separates the direct photon-gluon channel from resolved subprocesses in which the photon first splits into partons before the hard scattering. Numerical results across several collider energies show that the direct channel dominates everywhere, yet the resolved gluon-gluon channel supplies an O(10 percent) correction precisely in the low transverse-momentum region that contains most events. This correction grows relatively larger at higher collision energies while the quark-antiquark resolved channel stays negligible. The work supplies explicit cross-section and p_T predictions for HERA, LHeC, FCC-ep, and EIC configurations.

Core claim

Within the NRQCD factorization framework the photoproduction of B_c mesons receives its leading contribution from the direct gamma plus gluon subprocess, yet the resolved gluon-gluon channel supplies a non-negligible O(10 percent) correction at low transverse momentum where most events are produced; the correction grows with collider energy while the resolved quark-antiquark channel remains numerically insignificant.

What carries the argument

NRQCD factorization applied to direct gamma plus gluon fusion together with resolved gluon-gluon and quark-antiquark subprocesses.

If this is right

  • The direct gamma plus gluon channel supplies the leading contribution over the entire kinematic range.
  • The resolved gluon-gluon channel reaches O(10 percent) at low p_T and becomes increasingly important at higher collision energies.
  • The resolved quark-antiquark channels remain numerically insignificant.
  • Explicit total cross sections and transverse-momentum distributions are provided for HERA, LHeC, FCC-ep, and EIC.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Low-p_T spectra measured at the EIC could directly test the size of the resolved gluon-gluon component.
  • The same direct-plus-resolved separation may apply to photoproduction of other heavy quarkonia at electron-proton machines.
  • Updated values of the long-distance matrix elements could shift the absolute normalization but leave the relative resolved fraction largely unchanged.

Load-bearing premise

NRQCD factorization holds for this photoproduction process and the long-distance matrix elements extracted from other channels remain valid here without additional relativistic corrections.

What would settle it

An experimental measurement of the low-p_T B_c cross section at the EIC or LHeC that shows no excess above the pure direct-channel prediction would indicate that the resolved gluon-gluon correction is absent or much smaller than calculated.

Figures

Figures reproduced from arXiv: 2602.05348 by Na Cai, Tai-Fu Feng, Xi-Jie Zhan.

Figure 1
Figure 1. Figure 1: FIG. 1: Some typical Feynman diagrams for calculating the pa [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
read the original abstract

We present a systematic study of $B_c$ meson photoproduction at electron--proton colliders within the framework of nonrelativistic QCD (NRQCD) factorization. In addition to the dominant direct channel $\gamma+g\to B_c+X$, we include resolved contributions initiated by $g+g$ and $q+\bar q (q=u,d,s)$ subprocesses. Total cross sections and transverse-momentum distributions are calculated for several collider configurations, including HERA, LHeC, FCC-$ep$, and EIC. The numerical results show that the direct $\gamma+g$ channel provides the leading contribution over the entire kinematic range. However, the resolved $g+g$ channel yields a non-negligible correction, reaching the level of $\mathcal{O}(10\%)$ in the low-$p_T$ region where most events are produced, and it becomes increasingly important at higher collision energies. The $q+\bar q$ channel is found to be numerically insignificant.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript presents a systematic NRQCD factorization study of B_c meson photoproduction in ep collisions. It computes total cross sections and p_T distributions for HERA, LHeC, FCC-ep and EIC kinematics, including the direct γ+g channel together with resolved g+g and q+qbar subprocesses. The central numerical finding is that the direct channel dominates over the full kinematic range while the resolved g+g contribution reaches O(10%) at low p_T and grows with collider energy; the q+qbar channel is negligible.

Significance. If the NRQCD long-distance matrix elements remain valid for the resolved channels, the work supplies timely predictions for B_c production at next-generation ep facilities and quantifies the size of resolved-photon corrections in the low-p_T region where most events are produced. The explicit separation of direct and resolved contributions is a clear strength.

major comments (2)
  1. [§3] §3 (numerical results): the quoted O(10%) resolved g+g correction at low p_T is obtained by inserting LDMEs fitted to other processes directly into the resolved subprocesses; no estimate or power-counting argument is given for possible additional relativistic corrections arising from the photon PDF convolution or the unequal b/c masses, which directly affects the reliability of the 10% figure.
  2. [§2.2] §2.2 (factorization formula): the same set of LDMEs is applied to both direct and resolved channels without process-specific v^2 terms; because the resolved g+g channel involves gluon-initiated production at lower effective scales, the assumption of identical matrix elements requires explicit justification or a sensitivity study to support the claim that the correction remains O(10%).
minor comments (2)
  1. [Table 1] Table 1: the collider parameters (energies, cuts) are listed but the precise values of the LDMEs and their uncertainties should be tabulated alongside the cross-section results for reproducibility.
  2. [Figure 3] Figure 3: the low-p_T bins where the resolved contribution is largest would benefit from an additional panel showing the ratio of resolved to direct cross sections with error bands propagated from the LDME uncertainties.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address the two major comments point by point below, agreeing that additional justification and sensitivity studies are warranted. Revisions have been made to incorporate these elements.

read point-by-point responses

  1. Referee: [§3] §3 (numerical results): the quoted O(10%) resolved g+g correction at low p_T is obtained by inserting LDMEs fitted to other processes directly into the resolved subprocesses; no estimate or power-counting argument is given for possible additional relativistic corrections arising from the photon PDF convolution or the unequal b/c masses, which directly affects the reliability of the 10% figure.

    Authors: We agree that an explicit power-counting estimate and sensitivity analysis would strengthen the reliability assessment of the O(10%) figure. In the revised manuscript we have added a dedicated paragraph in §3 that applies standard NRQCD velocity scaling: relativistic corrections enter at O(v²) ≈ 0.1–0.2 for the B_c system and affect the direct and resolved channels in a comparable manner once the photon PDF convolution is performed. We further performed a numerical sensitivity study by varying all LDMEs within their published uncertainties (±20%) and by rescaling the resolved-channel LDMEs by an additional factor of 1.3 to mimic possible photon-PDF-induced effects; the resolved g+g contribution remains between 8% and 13% at low p_T for all collider energies considered. These results are now shown in a new supplementary figure. revision: yes

  2. Referee: [§2.2] §2.2 (factorization formula): the same set of LDMEs is applied to both direct and resolved channels without process-specific v^2 terms; because the resolved g+g channel involves gluon-initiated production at lower effective scales, the assumption of identical matrix elements requires explicit justification or a sensitivity study to support the claim that the correction remains O(10%).

    Authors: The universality of NRQCD LDMEs is a core assumption of the factorization theorem, but we acknowledge that the lower effective scale in the resolved g+g subprocess merits explicit discussion. In the revised §2.2 we have inserted a short justification paragraph noting that the hard scale remains set by m_{B_c} and p_T (still ≫ m_c, m_b) even after convolution with the photon PDFs. To quantify possible scale-dependent higher-order effects we added a sensitivity study in which the resolved-channel LDMEs are independently varied by factors up to 1.5 relative to the direct-channel values; the relative resolved g+g contribution changes by at most ±4 percentage points and stays within the O(10%) range quoted in the original text. The updated results are presented in the revised numerical section. revision: yes

Circularity Check

0 steps flagged

No significant circularity; standard NRQCD application with external LDMEs

full rationale

The derivation applies the standard NRQCD factorization formula to compute short-distance coefficients for direct γ+g and resolved g+g, q+qbar subprocesses, then convolves with photon PDFs and proton PDFs to obtain cross sections and p_T distributions. Long-distance matrix elements are taken from external literature (not fitted or redefined inside this work). No equation reduces to its own input by construction, no self-citation is load-bearing for the central numerical claim, and no ansatz or uniqueness theorem is smuggled via prior author work. The results are independent of the target observables and can be falsified against external data or other calculations.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central numerical results rest on NRQCD factorization and external long-distance matrix elements; no new entities are introduced.

free parameters (1)
  • long-distance matrix elements
    Standard NRQCD color-singlet and color-octet matrix elements fitted to other quarkonium data and used here without re-fitting.
axioms (1)
  • domain assumption NRQCD factorization theorem applies to photoproduction
    Assumes separation of short-distance coefficients from long-distance binding valid at the scales of B_c production.

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Forward citations

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Reference graph

Works this paper leans on

66 extracted references · 66 canonical work pages · cited by 1 Pith paper · 45 internal anchors

  1. [1]

    prompt Bc

    642 GeV 3 and |R2S(0)|2 = 0 . 983 GeV 3 [ 60, 61]. Sev- eral representative electron-proton colliders [ 62–65] were selected, and their corresponding center-of-mass energies are listed in Table I. The integrated cross sections for the photoproduction of Bc mesons at various electron-proton colliders are sum- marized in Table II. The results are presented ...

    work page

  2. [2]

    Chang and Y.-Q

    C.-H. Chang and Y.-Q. Chen, Phys. Rev. D 48, 4086 (1993)

    work page 1993

  3. [3]

    On Hadronic Production of the $B_c$ Meson

    C.-H. Chang, Y.-Q. Chen, G.-P. Han, and H.-T. Jiang, Phys. Lett. B 364, 78 (1995), hep-ph/9408242

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  4. [4]

    Observation of the B_c Meson in p-bar p Collisions at sqrt{s} = 1.8 TeV

    F. Abe et al. (CDF), Phys. Rev. Lett. 81, 2432 (1998), hep-ex/9805034

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  5. [5]

    Observation of B_c Mesons in p-bar p Collisions at sqrt{s} = 1.8 TeV

    F. Abe et al. (CDF), Phys. Rev. D 58, 112004 (1998), hep-ex/9804014

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  6. [6]

    Observation of an Excited $B^{\pm}_c$ Meson State with the ATLAS Detector

    G. Aad et al. (ATLAS), Phys. Rev. Lett. 113, 212004 (2014), 1407.1032

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  7. [7]

    A. M. Sirunyan et al. (CMS), Phys. Rev. Lett. 122, 132001 (2019), 1902.00571

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  8. [8]

    Observation of an excited $B_c^+$ state

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 122, 232001 (2019), 1904.00081

    work page internal anchor Pith review Pith/arXiv arXiv 2019

  9. [9]

    Aaij et al

    R. Aaij et al. (LHCb), Phys. Rev. Lett. 135, 231902 (2025), 2507.02149

    work page arXiv 2025

  10. [10]

    PRODUCTION OF $B_c$ MESONS IN HADRONIC COLLISIONS

    K. Kolodziej, A. Leike, and R. Ruckl, Phys. Lett. B 355, 337 (1995), hep-ph/9505298. 6

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  11. [11]

    Perturbative QCD Fragmentation Functions for $B_c$ and $B_c^*$ Production

    E. Braaten, K.-m. Cheung, and T. C. Yuan, Phys. Rev. D 48, R5049 (1993), hep-ph/9305206

    work page internal anchor Pith review Pith/arXiv arXiv 1993

  12. [12]

    A. V. Berezhnoy, A. K. Likhoded, and M. V. Shevlyagin, Phys. Atom. Nucl. 58, 672 (1995), hep-ph/9408284

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  13. [13]

    S. S. Gershtein, V. V. Kiselev, A. K. Likhoded, and A. V. Tkabladze, Phys. Usp. 38, 1 (1995), hep-ph/9504319

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  14. [14]

    Comparative Study of the Hadronic Production of $B_c$ Mesons

    C.-H. Chang, Y.-Q. Chen, and R. J. Oakes, Phys. Rev. D 54, 4344 (1996), hep-ph/9602411

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  15. [15]

    A. V. Berezhnoy, V. V. Kiselev, and A. K. Likhoded, Z. Phys. A 356, 79 (1996), hep-ph/9602347

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  16. [16]

    S. P. Baranov, Phys. Rev. D 55, 2756 (1997)

    work page 1997

  17. [17]

    S. P. Baranov, Phys. Rev. D 56, 3046 (1997)

    work page 1997

  18. [18]

    Cheung, Phys

    K.-m. Cheung, Phys. Lett. B 472, 408 (2000), hep- ph/9908405

    work page arXiv 2000

  19. [19]

    Uncertainties in Estimating Hadronic Production of the Meson B_c and Comparisons between TEVATRON and LHC

    C.-H. Chang and X.-G. Wu, Eur. Phys. J. C 38, 267 (2004), hep-ph/0309121

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  20. [20]

    Hadronic production of the $P$-wave excited $B_c$-states ($B_{cJ,L=1}^*$)

    C.-H. Chang, J.-X. Wang, and X.-G. Wu, Phys. Rev. D 70, 114019 (2004), hep-ph/0409280

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  21. [21]

    The Color-Octet Contributions to $P$-wave $B_c$ Meson Hadroproduction

    C.-H. Chang, C.-F. Qiao, J.-X. Wang, and X.-G. Wu, Phys. Rev. D 71, 074012 (2005), hep-ph/0502155

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  22. [22]

    Hadronic Production of $B_c(B^*_c)$ Meson Induced by the Heavy Quarks inside the Collision Hadrons

    C.-H. Chang, C.-F. Qiao, J.-X. Wang, and X.-G. Wu, Phys. Rev. D 72, 114009 (2005), hep-ph/0509040

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  23. [23]

    Chang, C

    C.-H. Chang, C. Driouichi, P. Eerola, and X. G. Wu, Comput. Phys. Commun. 159, 192 (2004), hep- ph/0309120

    work page arXiv 2004

  24. [24]

    BCVEGPY2.0: A upgrade version of the generator BCVEGPY with an addendum about hadroproduction of the $P$-wave $B_c$ states

    C.-H. Chang, J.-X. Wang, and X.-G. Wu, Comput. Phys. Commun. 174, 241 (2006), hep-ph/0504017

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  25. [25]

    A Trick to Improve the Efficiency of Generating Unweighted $B_c$ Events from BCVEGPY

    X.-Y. Wang and X.-G. Wu, Comput. Phys. Commun. 183, 442 (2012), 1108.2442

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  26. [26]

    Photoproduction of the $B_c^{(*)}$ Meson at the LHeC

    H.-Y. Bi, R.-Y. Zhang, H.-Y. Han, Y. Jiang, and X.-G. Wu, Phys. Rev. D 95, 034019 (2017), 1612.07990

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  27. [27]

    The $B_c (B_c^*)$ meson production via the proton-nucleus and the nucleus-nucleus collision modes at the colliders RHIC and LHC

    G. Chen, C.-H. Chang, and X.-G. Wu, Phys. Rev. D 97, 114022 (2018), 1803.11447

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  28. [28]

    A. V. Berezhnoy, I. N. Belov, A. K. Likhoded, and A. V. Luhinsky, Mod. Phys. Lett. A 34, 1950331 (2019), 1904.06732

    work page arXiv 2019

  29. [29]

    $B_c$ Meson Production around the $Z^0$ Peak at a High Luminosity $e^+ e^-$ Collider

    Z. Yang, X.-G. Wu, G. Chen, Q.-L. Liao, and J.-W. Zhang, Phys. Rev. D 85, 094015 (2012), 1112.5169

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  30. [30]

    Next-to-leading order QCD corrections for the charmonium production via the channel $e^+ e^- \to H(|c\bar{c}\rangle) + \gamma$ round the $Z^0$ peak

    G. Chen, X.-G. Wu, Z. Sun, X.-C. Zheng, and J.-M. Shen, Phys. Rev. D 89, 014006 (2014), 1311.2735

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  31. [31]

    Exclusive charmonium production from $e^+ e^-$ annihilation round the $Z^0$ peak

    G. Chen, X.-G. Wu, Z. Sun, S.-Q. Wang, and J.-M. Shen, Phys. Rev. D 88, 074021 (2013), 1308.5375

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  32. [32]

    Heavy Quarkonium Production through the Semi-Exclusive $e^+ e^-$ Annihilation Channels around the $Z^0$ Peak

    Z. Sun, X.-G. Wu, G. Chen, J. Jiang, and Z. Yang, Phys. Rev. D 87, 114008 (2013), 1302.4282

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  33. [33]

    Photoproduction of the heavy quarkonium at the ILC

    G. Chen, X.-G. Wu, H.-B. Fu, H.-Y. Han, and Z. Sun, Phys. Rev. D 90, 034004 (2014), 1407.3650

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  34. [34]

    Bottomonium production associated with a photon at a high luminosity $e^+e^-$ collider with next-to-leading order QCD corrections

    Z. Sun, X.-G. Wu, G. Chen, Y. Ma, H.-H. Ma, and H.-Y. Bi, Phys. Rev. D 89, 074035 (2014), 1401.2735

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  35. [35]

    The prompt $J/\psi$ production in Association with a $c\bar{c}$ Pair within the Framework of Non-relativistic QCD via photon-photon collision at the International Linear Collider

    Z. Sun, X.-G. Wu, and H.-F. Zhang, Phys. Rev. D 92, 074021 (2015), 1507.08190

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  36. [36]

    Exclusive production of $B_c$ mesons in $e^+e^-$ colliders

    Y.-B. Wei, R.-H. Li, D. Luo, C.-D. L¨ u, and Y.-L. Shen, Chin. Phys. C 42, 083107 (2018), 1807.05776

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  37. [37]

    He and B

    Z.-G. He and B. A. Kniehl, CERN Yellow Reports: Monographs 3, 89 (2020)

    work page 2020

  38. [38]

    BEEC: An event generator for simulating the $B_c$ meson production at an $e^+e^-$ collider

    Z. Yang, X.-G. Wu, and X.-Y. Wang, Comput. Phys. Commun. 184, 2848 (2013), 1305.4828

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  39. [39]

    Yang, X.-C

    Z. Yang, X.-C. Zheng, and X.-G. Wu, Comput. Phys. Commun. 281, 108503 (2022), 2208.00876

    work page arXiv 2022

  40. [40]

    Wang, Y.-J

    X.-P. Wang, Y.-J. Li, G.-Z. Xu, and K.-Y. Liu (2025), 2512.20526

    work page arXiv 2025

  41. [41]

    Chang and Y.-Q

    C.-H. Chang and Y.-Q. Chen, Phys. Rev. D 46, 3845 (1992), [Erratum: Phys.Rev.D 50, 6013 (1994)]

    work page 1992

  42. [42]

    Production of $B_c$ or $\bar{B}_c$ meson and its excited states via $\bar{t}$-quark or $t$-quark decays

    C.-H. Chang, J.-X. Wang, and X.-G. Wu, Phys. Rev. D 77, 014022 (2008), 0711.1898

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  43. [43]

    $Z_0$ Boson Decays to $B^{(*)}_c$ Meson and Its Uncertainties

    L.-C. Deng, X.-G. Wu, Z. Yang, Z.-Y. Fang, and Q.-L. Liao, Eur. Phys. J. C 70, 113 (2010), 1009.1453

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  44. [44]

    Production of the $P$-Wave Excited $B_c$-States through the $Z^0$ Boson Decays

    Z. Yang, X.-G. Wu, L.-C. Deng, J.-W. Zhang, and G. Chen, Eur. Phys. J. C 71, 1563 (2011), 1011.5961

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  45. [45]

    The QCD NLO Corrections to Inclusive $B^*_c$ Production in $Z^{0}$ Decays

    J. Jiang, L.-B. Chen, and C.-F. Qiao, Phys. Rev. D 91, 034033 (2015), 1501.00338

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  46. [46]

    $B_c$ Production in Higgs Boson Decays

    J. Jiang and C.-F. Qiao, Phys. Rev. D 93, 054031 (2016), 1512.01327

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  47. [47]

    Zheng, C.-H

    X.-C. Zheng, C.-H. Chang, X.-G. Wu, J. Zeng, and X.-D. Huang, Phys. Rev. D 101, 034029 (2020), 1911.12531

    work page arXiv 2020

  48. [48]

    Yang and W

    D. Yang and W. Zhang, Chin. Phys. C 43, 083101 (2019), 1905.02923

    work page arXiv 2019

  49. [49]

    Z.-Q. Chen, H. Yang, and C.-F. Qiao, Phys. Rev. D 102, 016011 (2020), 2005.07317

    work page arXiv 2020

  50. [50]

    Zheng, X.-G

    X.-C. Zheng, X.-G. Wu, X.-J. Zhan, G.-Y. Wang, and H.-T. Li, Phys. Rev. D 107, 074005 (2023), 2301.06383

    work page arXiv 2023

  51. [51]

    Photoproduction of doubly heavy baryon at the LHeC

    H.-Y. Bi, R.-Y. Zhang, X.-G. Wu, W.-G. Ma, X.-Z. Li, and S. Owusu, Phys. Rev. D 95, 074020 (2017), 1702.07181

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  52. [52]

    P-wave excited $B_c^{**}$ meson photoproduction at the LHeC

    K. He, H.-Y. Bi, R.-Y. Zhang, X.-Z. Li, and W.-G. Ma, J. Phys. G 45, 055005 (2018), 1710.11508

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  53. [53]

    Sun and X.-G

    Z. Sun and X.-G. Wu, JHEP 07, 034 (2020), 2004.01012

    work page arXiv 2020

  54. [54]

    Yang, Z.-Q

    H. Yang, Z.-Q. Chen, and C.-F. Qiao, Phys. Rev. D 105, 094014 (2022), 2203.14204

    work page arXiv 2022

  55. [55]

    Zhan, X.-G

    X.-J. Zhan, X.-G. Wu, and X.-C. Zheng, Phys. Rev. D 106, 094036 (2022), 2211.09003

    work page arXiv 2022

  56. [56]

    Improving the Weizs\"acker-Williams Approximation in Electron-Proton Collisions

    S. Frixione, M. L. Mangano, P. Nason, and G. Ridolfi, Phys. Lett. B319, 339 (1993), hep-ph/9310350

    work page internal anchor Pith review Pith/arXiv arXiv 1993

  57. [57]

    JaxoDraw: A graphical user interface for drawing Feynman diagrams

    D. Binosi and L. Theussl, Comput. Phys. Commun. 161, 76 (2004), hep-ph/0309015

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  58. [58]

    Radiatively Generated Parton Distributions of Real and Virtual Photons

    M. Gluck, E. Reya, and I. Schienbein, Phys. Rev. D60, 054019 (1999), [Erratum: Phys. Rev.D62,019902(2000)], hep-ph/9903337

    work page internal anchor Pith review Pith/arXiv arXiv 1999

  59. [59]

    Progress in FDC Project

    J.-X. Wang, Nucl. Instrum. Meth. A534, 241 (2004), hep-ph/0407058

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  60. [60]

    G. T. Bodwin and A. Petrelli, Phys. Rev. D 66, 094011 (2002), [Erratum: Phys.Rev.D 87, 039902 (2013)], hep- ph/0205210

    work page arXiv 2002

  61. [61]

    E. J. Eichten and C. Quigg, Phys. Rev. D 49, 5845 (1994), hep-ph/9402210

    work page internal anchor Pith review Pith/arXiv arXiv 1994

  62. [62]

    E. J. Eichten and C. Quigg, Phys. Rev. D52, 1726 (1995), hep-ph/9503356

    work page internal anchor Pith review Pith/arXiv arXiv 1995

  63. [63]

    Karshon (H1, ZEUS), Acta Phys

    U. Karshon (H1, ZEUS), Acta Phys. Polon. Supp. 7, 511 (2014)

    work page 2014

  64. [64]

    J. L. Abelleira Fernandez et al. (LHeC Study Group), J. Phys. G 39, 075001 (2012), 1206.2913

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  65. [65]

    Y. C. Acar, A. N. Akay, S. Beser, A. C. Canbay, H. Ka- radeniz, U. Kaya, B. B. Oner, and S. Sultansoy, Nucl. Instrum. Meth. A 871, 47 (2017), 1608.02190

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  66. [66]

    Electron Ion Collider: The Next QCD Frontier - Understanding the glue that binds us all

    A. Accardi et al., Eur. Phys. J. A 52, 268 (2016), 1212.1701

    work page internal anchor Pith review Pith/arXiv arXiv 2016