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arxiv: 2605.04009 · v1 · submitted 2026-05-05 · ✦ hep-ph · hep-th

Recognition: unknown

Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

Giuseppe De Laurentis , Harald Ita , Viktor Kuschke , Michael Ruf , Vasily Sotnikov
Authors on Pith no claims yet

Pith reviewed 2026-05-07 15:14 UTC · model grok-4.3

classification ✦ hep-ph hep-th
keywords Higgs productiontwo-loop QCDhelicity amplitudesnumerical unitaritypartial fractionspentagon functionsgluon fusion
0
0 comments X

The pith

Finite remainders of two-loop helicity amplitudes for Higgs plus two-jet production are expressed in terms of one-mass pentagon functions.

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

The paper computes the leading color two-loop QCD corrections to the production of a Higgs boson in association with two jets through gluon fusion, in the heavy top quark limit. Analytic expressions for the finite parts of the helicity amplitudes are provided using one-mass pentagon functions multiplied by spinor-helicity coefficients. These are reconstructed from numerical samples obtained with the numerical unitarity method, aided by a new algorithm for multivariate partial fraction decomposition that reduces sample requirements and yields compact forms. The resulting expressions support efficient numerical evaluation suitable for phenomenological applications. Additionally, the singularity structure is analyzed, verifying the presence of a threshold singularity at non-degenerate physical points.

Core claim

In the heavy-top effective theory, the leading-color two-loop QCD corrections to Higgs plus two jets through gluon fusion are obtained by reconstructing the finite remainders of the helicity amplitudes from numerical finite-field samples using the numerical unitarity framework. The reconstruction employs advances in exploiting analytic structure, including a new multivariate partial fraction decomposition algorithm based on bivariate slices. The resulting expressions are written in terms of one-mass pentagon functions with spinor-helicity coefficients, enabling stable numerical implementation.

What carries the argument

Reconstruction of amplitudes from numerical finite-field samples via a new algorithm for multivariate partial fraction decomposition based on a generic bivariate slice and simplified treatment of ideal intersections.

Load-bearing premise

The combination of numerical finite-field sampling and the partial-fraction algorithm fully reconstructs the complete analytic structure of the amplitudes without omissions or spurious terms.

What would settle it

A mismatch between the analytic expressions and an independent numerical computation of the amplitude at a chosen kinematic point away from singularities would falsify the reconstruction.

read the original abstract

We present the leading-color two-loop QCD corrections for Higgs-boson production in association with two jets through gluon fusion in the heavy-top effective theory. We provide analytic expressions for the finite remainders of the helicity amplitudes, written in terms of one-mass pentagon functions with spinor-helicity coefficients. These expressions are obtained by reconstructing the amplitudes from numerical finite-field samples computed within the numerical unitarity framework. The reconstruction is made possible by several advances in exploiting the analytic structure of the amplitudes, which both reduce the number of required samples and lead to compact representations. In particular, we introduce a new algorithm for multivariate partial fraction decomposition, based on a generic bivariate slice and a simplified treatment of ideal intersections. Using the resulting analytic expressions, we provide an efficient and stable implementation of their numerical evaluation, ready for phenomenological applications. Finally, we study the singularity structure of the remainders and confirm the existence of a threshold at non-degenerate physical momentum configurations, usually associated with massive virtual particle exchanges.

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

1 major / 1 minor

Summary. The paper computes the leading-color two-loop QCD corrections to Higgs plus two-jet production via gluon fusion in the heavy-top effective theory. It reconstructs analytic expressions for the finite remainders of the helicity amplitudes in terms of one-mass pentagon functions with spinor-helicity coefficients, using numerical finite-field samples from the numerical unitarity framework together with a new bivariate-slice multivariate partial-fraction decomposition algorithm that simplifies ideal-intersection handling. The resulting expressions are implemented for stable numerical evaluation, and the singularity structure is analyzed, confirming a non-degenerate physical threshold.

Significance. If the reconstruction is complete, the work supplies the first analytic two-loop expressions for this important LHC process in the heavy-top limit, enabling high-precision phenomenological studies without relying solely on numerical methods. The new partial-fraction algorithm and its application to reduce sample count while producing compact forms represent a technical advance with potential reuse in other multi-scale amplitude calculations. The explicit confirmation of the expected singularity structure, including the non-degenerate threshold, adds concrete analytic insight.

major comments (1)
  1. [Reconstruction and analytic expressions] The central claim that the reconstructed expressions fully capture the finite remainders without omissions or spurious terms rests on the numerical unitarity samples plus the new partial-fraction algorithm, with completeness asserted via observed singularity structure (including the non-degenerate threshold). An independent cross-validation—such as direct numerical evaluation of the analytic expressions against an independent finite-field sample at a generic kinematic point outside the reconstruction set, or matching to known one-loop limits after IR subtraction—would be required to rule out undetected cancellations or missing terms.
minor comments (1)
  1. [Abstract] The abstract and introduction would benefit from a brief statement of the number of independent helicity amplitudes treated and the precise definition of the finite remainder (e.g., after UV and IR subtraction).

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the positive overall assessment of our work and for the constructive major comment. We address the point below and have revised the manuscript to incorporate the suggested independent cross-validation.

read point-by-point responses

  1. Referee: The central claim that the reconstructed expressions fully capture the finite remainders without omissions or spurious terms rests on the numerical unitarity samples plus the new partial-fraction algorithm, with completeness asserted via observed singularity structure (including the non-degenerate threshold). An independent cross-validation—such as direct numerical evaluation of the analytic expressions against an independent finite-field sample at a generic kinematic point outside the reconstruction set, or matching to known one-loop limits after IR subtraction—would be required to rule out undetected cancellations or missing terms.

    Authors: We thank the referee for emphasizing the value of explicit independent validation. Our reconstruction relies on the numerical unitarity method, which generates samples from on-shell cuts, combined with the new bivariate-slice multivariate partial-fraction algorithm that systematically decomposes the rational coefficients while handling ideal intersections. This procedure is constructed to recover the complete expression consistent with the known analytic structure of the amplitudes. The matching of the singularity structure, including the non-degenerate physical threshold, further corroborates that no essential terms are missing. Nevertheless, we agree that a direct cross-check at an independent point strengthens the result. In the revised manuscript we have added such a validation: the analytic expressions are evaluated numerically at a generic kinematic point outside the reconstruction sample set and compared to a fresh finite-field computation performed with the same unitarity code. We also verify that the infrared poles cancel and that the finite remainders reduce to the known one-loop helicity amplitudes after subtraction. These comparisons, now presented in the updated numerical evaluation section, show agreement to within the expected numerical precision, thereby confirming the absence of undetected cancellations or spurious terms. revision: yes

Circularity Check

0 steps flagged

No significant circularity: reconstruction from independent numerical unitarity samples yields analytic expressions without self-referential reduction.

full rationale

The derivation chain begins with standard perturbative QCD in the heavy-top effective theory, generates numerical finite-field samples via the numerical unitarity framework, and reconstructs compact analytic expressions for the finite remainders using a new bivariate-slice partial-fraction algorithm. This process does not fit parameters to a subset and then predict a related quantity, nor does it define any quantity in terms of itself. No load-bearing self-citations, uniqueness theorems imported from prior author work, or ansatze smuggled via citation are present in the provided text. The resulting expressions are the direct output of the reconstruction procedure applied to the computed samples; they are not asserted as independent predictions. The paper remains self-contained against external benchmarks such as known singularity structures and one-loop limits, with no reduction of the central claim to its inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the heavy-top effective theory approximation and the completeness of the numerical reconstruction; no free parameters are introduced and no new entities are postulated.

axioms (2)
  • domain assumption Heavy-top effective theory (infinite top-mass limit) for gluon-fusion Higgs production
    Invoked to eliminate top-quark mass dependence and reduce the number of scales in the two-loop integrals.
  • standard math Standard renormalization and infrared subtraction in QCD
    Required to isolate the finite remainders after ultraviolet and infrared divergences are removed.

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Reference graph

Works this paper leans on

129 extracted references · 109 canonical work pages · 4 internal anchors

  1. [1]

    X. Chen, S. Ferrario Ravasio, Y. Haddad, S. Höche, J. Huston, T. Jezo et al.,Theory uncertainties of the irreducible background to VBF Higgs production,2509.10368

    work page arXiv

  2. [2]

    Klamke and D

    G. Klamke and D. Zeppenfeld,Higgs plus two jet production via gluon fusion as a signal at the CERN LHC,JHEP04(2007) 052 [hep-ph/0703202]

    work page arXiv 2007

  3. [3]

    Demartin, F

    F. Demartin, F. Maltoni, K. Mawatari, B. Page and M. Zaro,Higgs characterisation at NLO in QCD: CP properties of the top-quark Yukawa interaction,Eur. Phys. J. C74 (2014) 3065 [1407.5089]

    work page arXiv 2014

  4. [4]

    H. Bahl, E. Fuchs, M. Hannig and M. Menen,Classifying the CP properties of the ggH coupling in H + 2j production,SciPost Phys. Core8(2025) 006 [2309.03146]. [5]CMScollaboration,Measurement of the Higgs boson inclusive and differential fiducial production cross sections in the diphoton decay channel with pp collisions at√s= 13 TeV, JHEP07(2023) 091 [2208.1...

    work page arXiv 2025

  5. [5]

    A. Huss, J. Huston, S. Jones, M. Pellen and R. Röntsch,Les Houches 2023 – Physics at TeV Colliders: Report on the Standard Model Precision Wishlist,2504.06689

    work page internal anchor Pith review Pith/arXiv arXiv 2023

  6. [6]

    T. Han, G. Valencia and S. Willenbrock,Structure function approach to vector boson scattering in p p collisions,Phys. Rev. Lett.69(1992) 3274 [hep-ph/9206246]

    work page arXiv 1992

  7. [7]

    Cacciari, F.A

    M. Cacciari, F.A. Dreyer, A. Karlberg, G.P. Salam and G. Zanderighi,Fully Differential Vector-Boson-Fusion Higgs Production at Next-to-Next-to-Leading Order,Phys. Rev. Lett. 115(2015) 082002 [1506.02660]

    work page arXiv 2015

  8. [8]

    Cruz-Martinez, T

    J. Cruz-Martinez, T. Gehrmann, E.W.N. Glover and A. Huss,Second-order QCD effects in Higgs boson production through vector boson fusion,Phys. Lett. B781(2018) 672 [1802.02445]

    work page arXiv 2018

  9. [9]

    Dreyer and A

    F.A. Dreyer and A. Karlberg,Vector-Boson Fusion Higgs Production at Three Loops in QCD,Phys. Rev. Lett.117(2016) 072001 [1606.00840]

    work page arXiv 2016

  10. [10]

    Del Duca, W

    V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld,Gluon fusion contributions to H + 2 jet production,Nucl. Phys. B616(2001) 367 [hep-ph/0108030]

    work page arXiv 2001

  11. [11]

    Neumann and C

    T. Neumann and C. Williams,The Higgs boson at highpT,Phys. Rev. D95(2017) 014004 [1609.00367]. – 42 –

    work page arXiv 2017

  12. [12]

    Ellis and S

    R.K. Ellis and S. Seth,On Higgs boson plus gluon amplitudes at one loop,JHEP11(2018) 006 [1808.09292]

    work page arXiv 2018

  13. [13]

    Budge, J.M

    L. Budge, J.M. Campbell, G. De Laurentis, R.K. Ellis and S. Seth,The one-loop amplitudes for Higgs + 4 partons with full mass effects,JHEP05(2020) 079 [2002.04018]

    work page arXiv 2020

  14. [14]

    Maltoni, E

    F. Maltoni, E. Vryonidou and M. Zaro,Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO,JHEP11(2014) 079 [1408.6542]

    work page arXiv 2014

  15. [15]

    X. Chen, A. Huss, S.P. Jones, M. Kerner, J.N. Lang, J.M. Lindert et al.,Top-quark mass effects in H+jet and H+2 jets production,JHEP03(2022) 096 [2110.06953]

    work page arXiv 2022

  16. [16]

    Harlander, T

    R.V. Harlander, T. Neumann, K.J. Ozeren and M. Wiesemann,Top-mass effects in differential Higgs production through gluon fusion at orderO(α4 s,JHEP08(2012) 139 [1206.0157]

    work page arXiv 2012

  17. [17]

    Greiner, S

    N. Greiner, S. Höche, G. Luisoni, M. Schönherr and J.-C. Winter,Full mass dependence in Higgs boson production in association with jets at the LHC and FCC,JHEP01(2017) 091 [1608.01195]

    work page arXiv 2017

  18. [18]

    Lindert, K

    J.M. Lindert, K. Kudashkin, K. Melnikov and C. Wever,Higgs bosons with large transverse momentum at the LHC,Phys. Lett. B782(2018) 210 [1801.08226]

    work page arXiv 2018

  19. [19]

    Andersen, J.D

    J.R. Andersen, J.D. Cockburn, M. Heil, A. Maier and J.M. Smillie,Finite Quark-Mass Effects in Higgs Boson Production with Dijets at Large Energies,JHEP04(2019) 127 [1812.08072]

    work page arXiv 2019

  20. [20]

    Jones, M

    S.P. Jones, M. Kerner and G. Luisoni,Next-to-Leading-Order QCD Corrections to Higgs Boson Plus Jet Production with Full Top-Quark Mass Dependence,Phys. Rev. Lett.120 (2018) 162001 [1802.00349]

    work page arXiv 2018

  21. [21]

    Bonciani, V

    R. Bonciani, V. Del Duca, H. Frellesvig, M. Hidding, V. Hirschi, F. Moriello et al., Next-to-leading-order QCD corrections to Higgs production in association with a jet,Phys. Lett. B843(2023) 137995 [2206.10490]

    work page arXiv 2023

  22. [22]

    Graudenz, M

    D. Graudenz, M. Spira and P.M. Zerwas,QCD corrections to Higgs boson production at proton proton colliders,Phys. Rev. Lett.70(1993) 1372

    1993

  23. [23]

    Czakon, R.V

    M. Czakon, R.V. Harlander, J. Klappert and M. Niggetiedt,Exact Top-Quark Mass Dependence in Hadronic Higgs Production,Phys. Rev. Lett.127(2021) 162002 [2105.04436]

    work page arXiv 2021

  24. [24]

    Wilczek,Decays of Heavy Vector Mesons Into Higgs Particles,Phys

    F. Wilczek,Decays of Heavy Vector Mesons Into Higgs Particles,Phys. Rev. Lett.39 (1977) 1304

    1977

  25. [25]

    Shifman, A.I

    M.A. Shifman, A.I. Vainshtein, M.B. Voloshin and V.I. Zakharov,Low-Energy Theorems for Higgs Boson Couplings to Photons,Sov. J. Nucl. Phys.30(1979) 711

    1979

  26. [26]

    Inami, T

    T. Inami, T. Kubota and Y. Okada,Effective Gauge Theory and the Effect of Heavy Quarks in Higgs Boson Decays,Z. Phys. C18(1983) 69

    1983

  27. [27]

    Campbell, R.K

    J.M. Campbell, R.K. Ellis and G. Zanderighi,Next-to-Leading order Higgs + 2 jet production via gluon fusion,JHEP10(2006) 028 [hep-ph/0608194]

    work page arXiv 2006

  28. [28]

    Campbell, R.K

    J.M. Campbell, R.K. Ellis, R. Frederix, P. Nason, C. Oleari and C. Williams,NLO Higgs Boson Production Plus One and Two Jets Using the POWHEG BOX, MadGraph4 and MCFM,JHEP07(2012) 092 [1202.5475]. – 43 –

    work page arXiv 2012

  29. [29]

    van Deurzen, N

    H. van Deurzen, N. Greiner, G. Luisoni, P. Mastrolia, E. Mirabella, G. Ossola et al.,NLO QCD corrections to the production of Higgs plus two jets at the LHC,Phys. Lett. B721 (2013) 74 [1301.0493]

    work page arXiv 2013

  30. [30]

    Greiner, S

    N. Greiner, S. Höche, G. Luisoni, M. Schönherr, J.-C. Winter and V. Yundin, Phenomenological analysis of Higgs boson production through gluon fusion in association with jets,JHEP01(2016) 169 [1506.01016]

    work page arXiv 2016

  31. [31]

    Andersen, T

    J.R. Andersen, T. Hapola, A. Maier and J.M. Smillie,Higgs Boson Plus Dijets: Higher Order Corrections,JHEP09(2017) 065 [1706.01002]

    work page arXiv 2017

  32. [32]

    Andersen, T

    J.R. Andersen, T. Hapola, M. Heil, A. Maier and J.M. Smillie,Higgs-boson plus Dijets: Higher-Order Matching for High-Energy Predictions,JHEP08(2018) 090 [1805.04446]

    work page arXiv 2018

  33. [33]

    Hartanto and R

    H.B. Hartanto and R. Poncelet,Top-Yukawa contributions topp→b¯bH: two-loop leading-colour amplitudes,2603.29480

    work page arXiv

  34. [34]

    X. Chen, D. Chicherin, E. Fox, N. Glover, M. Marcoli, V. Sotnikov et al.,The Four-Jet Rate in Electron-Positron Annihilation at Orderα4 s,2602.18185

    work page arXiv

  35. [35]

    Abreu, D

    S. Abreu, D. Chicherin, H. Ita, B. Page, V. Sotnikov, W. Tschernow et al.,All Two-Loop Feynman Integrals for Five-Point One-Mass Scattering,Phys. Rev. Lett.132(2024) 141601 [2306.15431]

    work page arXiv 2024

  36. [36]

    Y. Guo, L. Wang, G. Yang and Y. Yin,Analytic two-loop four-point form factor of the stress-tensor supermultiplet inN= 4 SYM,JHEP02(2025) 002 [2409.12445]

    work page arXiv 2025

  37. [37]

    Dixon and S

    L.J. Dixon and S. Xin,A two-loop four-point form factor at function level,JHEP01(2025) 012 [2411.01571]

    work page arXiv 2025

  38. [38]

    Badger, C

    S. Badger, C. Biello, C. Brancaccio and F. Ripani,Two-loop all-plus helicity amplitudes for self-dual Higgs boson with gluons via unitarity cut constraints,JHEP03(2026) 011 [2511.11537]

    work page internal anchor Pith review arXiv 2026

  39. [39]

    Badger, H.B

    S. Badger, H.B. Hartanto, Z. Wu, Y. Zhang and S. Zoia,Two-loop amplitudes forO α2 s corrections to Wγγproduction at the LHC,JHEP12(2025) 221 [2409.08146]

    work page arXiv 2025

  40. [40]

    Badger, H.B

    S. Badger, H.B. Hartanto, R. Poncelet, Z. Wu, Y. Zhang and S. Zoia,Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC,JHEP03(2025) 066 [2412.06519]

    work page arXiv 2025

  41. [41]

    von Manteuffel and R

    A. von Manteuffel and R.M. Schabinger,A novel approach to integration by parts reduction, Phys. Lett. B744(2015) 101 [1406.4513]

    work page arXiv 2015

  42. [42]

    Peraro,Scattering amplitudes over finite fields and multivariate functional reconstruction, JHEP12(2016) 030, [1608.01902]

    T. Peraro,Scattering amplitudes over finite fields and multivariate functional reconstruction,JHEP12(2016) 030 [1608.01902]

    work page arXiv 2016

  43. [43]

    Abreu, J

    S. Abreu, J. Dormans, F. Febres Cordero, H. Ita, M. Kraus, B. Page et al.,Caravel: A C++ framework for the computation of multi-loop amplitudes with numerical unitarity, Comput. Phys. Commun.267(2021) 108069 [2009.11957]

    work page arXiv 2021

  44. [44]

    Ita,Two-loop Integrand Decomposition into Master Integrals and Surface Terms,Phys

    H. Ita,Two-loop Integrand Decomposition into Master Integrals and Surface Terms,Phys. Rev. D94(2016) 116015 [1510.05626]

    work page arXiv 2016

  45. [45]

    Abreu, F

    S. Abreu, F. Febres Cordero, H. Ita, M. Jaquier, B. Page and M. Zeng,Two-Loop Four-Gluon Amplitudes from Numerical Unitarity,Phys. Rev. Lett.119(2017) 142001 [1703.05273]. – 44 –

    work page arXiv 2017

  46. [46]

    Abreu, F

    S. Abreu, F. Febres Cordero, H. Ita, M. Jaquier and B. Page,Subleading Poles in the Numerical Unitarity Method at Two Loops,Phys. Rev. D95(2017) 096011 [1703.05255]

    work page arXiv 2017

  47. [47]

    Abreu, F

    S. Abreu, F. Febres Cordero, H. Ita, B. Page and M. Zeng,Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity,Phys. Rev. D97(2018) 116014 [1712.03946]

    work page arXiv 2018

  48. [48]

    Abreu, F

    S. Abreu, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov,Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity,JHEP11(2018) 116 [1809.09067]

    work page arXiv 2018

  49. [49]

    Abreu, J

    S. Abreu, J. Dormans, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov,Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD,JHEP05(2019) 084 [1904.00945]

    work page arXiv 2019

  50. [50]

    Bern, L.J

    Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower,One loop n point gauge theory amplitudes, unitarity and collinear limits,Nucl. Phys. B425(1994) 217 [hep-ph/9403226]

    work page arXiv 1994

  51. [51]

    Bern, L.J

    Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower,Fusing gauge theory tree amplitudes into loop amplitudes,Nucl. Phys. B435(1995) 59 [hep-ph/9409265]

    work page arXiv 1995

  52. [52]

    Britto, F

    R. Britto, F. Cachazo and B. Feng,Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills,Nucl. Phys. B725(2005) 275 [hep-th/0412103]

    work page arXiv 2005

  53. [53]

    Bern, J.J.M

    Z. Bern, J.J.M. Carrasco, H. Johansson and D.A. Kosower,Maximally supersymmetric planar Yang-Mills amplitudes at five loops,Phys. Rev. D76(2007) 125020 [0705.1864]

    work page arXiv 2007

  54. [54]

    Buchbinder and F

    E.I. Buchbinder and F. Cachazo,Two-loop amplitudes of gluons and octa-cuts in N=4 super Yang-Mills,JHEP11(2005) 036 [hep-th/0506126]

    work page arXiv 2005

  55. [55]

    Berends and W.T

    F.A. Berends and W.T. Giele,Recursive Calculations for Processes with n Gluons,Nucl. Phys. B306(1988) 759

    1988

  56. [56]

    Gluza, K

    J. Gluza, K. Kajda and D.A. Kosower,Towards a Basis for Planar Two-Loop Integrals, Phys. Rev. D83(2011) 045012 [1009.0472]

    work page arXiv 2011

  57. [57]

    Abreu, G

    S. Abreu, G. De Laurentis, H. Ita, M. Klinkert, B. Page and V. Sotnikov,Two-loop QCD corrections for three-photon production at hadron colliders,SciPost Phys.15(2023) 157 [2305.17056]

    work page arXiv 2023

  58. [58]

    Klinkert,Two-loop five-point amplitudes for bosons and partons in QCD, Ph.D

    M. Klinkert,Two-loop five-point amplitudes for bosons and partons in QCD, Ph.D. thesis, Freiburg U., 2023. 10.6094/UNIFR/234190

    work page doi:10.6094/unifr/234190 2023

  59. [59]

    De Laurentis, H

    G. De Laurentis, H. Ita, M. Klinkert and V. Sotnikov,Double-virtual NNLO QCD corrections for five-parton scattering. I. The gluon channel,Phys. Rev. D109(2024) 094023 [2311.10086]

    work page arXiv 2024

  60. [60]

    De Laurentis, H

    G. De Laurentis, H. Ita and V. Sotnikov,Double-virtual NNLO QCD corrections for five-parton scattering. II. The quark channels,Phys. Rev. D109(2024) 094024 [2311.18752]

    work page arXiv 2024

  61. [61]

    De Laurentis, H

    G. De Laurentis, H. Ita, B. Page and V. Sotnikov,Compact two-loop QCD corrections for Vjj production in proton collisions,JHEP06(2025) 093 [2503.10595]

    work page arXiv 2025

  62. [62]

    Chicherin, V

    D. Chicherin, V. Sotnikov and S. Zoia,Pentagon functions for one-mass planar scattering amplitudes,JHEP01(2022) 096 [2110.10111]

    work page arXiv 2022

  63. [63]

    Abreu, J

    S. Abreu, J. Dormans, F. Febres Cordero, H. Ita and B. Page,Analytic Form of Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD,Phys. Rev. Lett.122(2019) 082002 [1812.04586]. – 45 –

    work page arXiv 2019

  64. [64]

    Laurentis and D

    G. Laurentis and D. Maître,Extracting analytical one-loop amplitudes from numerical evaluations,JHEP07(2019) 123 [1904.04067]

    work page arXiv 2019

  65. [65]

    De Laurentis and B

    G. De Laurentis and B. Page,Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry,JHEP12(2022) 140 [2203.04269]

    work page arXiv 2022

  66. [66]

    Abreu, F

    S. Abreu, F. Febres Cordero, H. Ita, B. Page and V. Sotnikov,Leading-color two-loop QCD corrections for three-jet production at hadron colliders,JHEP07(2021) 095 [2102.13609]

    work page arXiv 2021

  67. [67]

    X. Chen, X. Guan and B. Mistlberger,Three-Loop QCD corrections to the production of a Higgs boson and a Jet,2504.06490

    work page arXiv

  68. [68]

    Djouadi, M

    A. Djouadi, M. Spira and P.M. Zerwas,Production of Higgs bosons in proton colliders: QCD corrections,Phys. Lett. B264(1991) 440

    1991

  69. [69]

    Dawson,Radiative corrections to Higgs boson production,Nucl

    S. Dawson,Radiative corrections to Higgs boson production,Nucl. Phys. B359(1991) 283

    1991

  70. [70]

    Kniehl and M

    B.A. Kniehl and M. Spira,Low-energy theorems in Higgs physics,Z. Phys. C69(1995) 77 [hep-ph/9505225]

    work page internal anchor Pith review arXiv 1995

  71. [71]

    Decoupling Relations to O(alpha_s^3) and their Connection to Low-Energy Theorems

    K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser,Decoupling relations to O (alpha-s**3) and their connection to low-energy theorems,Nucl. Phys. B510(1998) 61 [hep-ph/9708255]

    work page Pith review arXiv 1998

  72. [72]

    Chetyrkin, B.A

    K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser,Hadronic Higgs decay to order alpha-s**4,Phys. Rev. Lett.79(1997) 353 [hep-ph/9705240]

    work page arXiv 1997

  73. [73]

    Kramer, E

    M. Kramer, E. Laenen and M. Spira,Soft gluon radiation in Higgs boson production at the LHC,Nucl. Phys. B511(1998) 523 [hep-ph/9611272]

    work page arXiv 1998

  74. [74]

    Gerlach, F

    M. Gerlach, F. Herren and M. Steinhauser,Wilson coefficients for Higgs boson production and decoupling relations toO α4 s ,JHEP11(2018) 141 [1809.06787]

    work page arXiv 2018

  75. [75]

    K.G. Chetyrkin,A simple generalization of the low-energy theorem for the effective Higgs-gluon-gluon coupling for the case of simultaneous decoupling of several heavy quarks, JHEP02(2026) 192 [2511.20622]

    work page arXiv 2026

  76. [76]

    Ellis, I

    R.K. Ellis, I. Hinchliffe, M. Soldate and J.J. van der Bij,Higgs Decay toτ+τ −: A Possible Signature of Intermediate Mass Higgs Bosons at SSC,Nucl. Phys. B297(1988) 221

    1988

  77. [77]

    Baur and E.W.N

    U. Baur and E.W.N. Glover,Higgs Boson Production at Large Transverse Momentum in Hadronic Collisions,Nucl. Phys. B339(1990) 38

    1990

  78. [78]

    Maitre and P

    D. Maitre and P. Mastrolia,S@M, a Mathematica Implementation of the Spinor-Helicity Formalism,Comput. Phys. Commun.179(2008) 501 [0710.5559]

    work page arXiv 2008

  79. [79]

    Harlander and W.B

    R.V. Harlander and W.B. Kilgore,Soft and virtual corrections to proton proton —>H + x at NNLO,Phys. Rev. D64(2001) 013015 [hep-ph/0102241]

    work page arXiv 2001

  80. [80]

    Catani,The Singular behavior of QCD amplitudes at two loop order,Phys

    S. Catani,The Singular behavior of QCD amplitudes at two loop order,Phys. Lett. B427 (1998) 161 [hep-ph/9802439]

    work page arXiv 1998

Showing first 80 references.