Abstract
We compute the next-to-leading order virtual corrections to the partonic cross-section of the process gg → ZH, in the high-energy and large-mt limits. We use Padé approximants to increase the radius of convergence of the high-energy expansion in \( {m}_t^2/s \), \( {m}_t^2/t \) and \( {m}_t^2/u \) and show that precise results can be obtained down to energies which are fairly close to the top quark pair threshold. We present results both for the form factors and the next-to-leading order virtual cross-section.
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ATLAS collaboration, Observation of H → \( b\overline{b} \) decays and VH production with the ATLAS detector, Phys. Lett. B 786 (2018) 59 [arXiv:1808.08238] [INSPIRE].
CMS collaboration, Observation of Higgs boson decay to bottom quarks, Phys. Rev. Lett. 121 (2018) 121801 [arXiv:1808.08242] [INSPIRE].
M. C. Kumar, M. K. Mandal and V. Ravindran, Associated production of Higgs boson with vector boson at threshold N3 LO in QCD, JHEP 03 (2015) 037 [arXiv:1412.3357] [INSPIRE].
G. Heinrich, Collider Physics at the Precision Frontier, arXiv:2009.00516 [INSPIRE].
O. Brein, R. V. Harlander and T. J. E. Zirke, vh@nnlo — Higgs Strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
R. V. Harlander, J. Klappert, S. Liebler and L. Simon, vh@nnlo-v2: New physics in Higgs Strahlung, JHEP 05 (2018) 089 [arXiv:1802.04817] [INSPIRE].
A. Denner, S. Dittmaier, S. Kallweit and A. Mück, HAWK 2.0: A Monte Carlo program for Higgs production in vector-boson fusion and Higgs strahlung at hadron colliders, Comput. Phys. Commun. 195 (2015) 161 [arXiv:1412.5390] [INSPIRE].
C. Englert, M. McCullough and M. Spannowsky, Gluon-initiated associated production boosts Higgs physics, Phys. Rev. D 89 (2014) 013013 [arXiv:1310.4828] [INSPIRE].
R. V. Harlander, S. Liebler and T. Zirke, Higgs Strahlung at the Large Hadron Collider in the 2-Higgs-Doublet Model, JHEP 02 (2014) 023 [arXiv:1307.8122] [INSPIRE].
ATLAS collaboration, Measurements of W H and Z H production in the H → \( b\overline{b} \) decay channel in pp collisions at 13 TeV with the ATLAS detector, Eur. Phys. J. C 81 (2021) 178 [arXiv:2007.02873] [INSPIRE].
R. V. Harlander, J. Klappert, C. Pandini and A. Papaefstathiou, Exploiting the WH/ZH symmetry in the search for New Physics, Eur. Phys. J. C 78 (2018) 760 [arXiv:1804.02299] [INSPIRE].
D.A. Dicus and C. Kao, Higgs Boson-Z0 Production From Gluon Fusion, Phys. Rev. D 38 (1988) 1008 [Erratum ibid. 42 (1990) 2412] [INSPIRE].
B. A. Kniehl, Associated Production of Higgs and Z Bosons From Gluon Fusion in Hadron Collisions, Phys. Rev. D 42 (1990) 2253 [INSPIRE].
L. Altenkamp, S. Dittmaier, R. V. Harlander, H. Rzehak and T. J. E. Zirke, Gluon-induced Higgs-strahlung at next-to-leading order QCD, JHEP 02 (2013) 078 [arXiv:1211.5015] [INSPIRE].
A. Hasselhuhn, T. Luthe and M. Steinhauser, On top quark mass effects to gg → ZH at NLO, JHEP 01 (2017) 073 [arXiv:1611.05881] [INSPIRE].
S. Borowka, N. Greiner, G. Heinrich, S. P. Jones, M. Kerner, J. Schlenk et al., Full top quark mass dependence in Higgs boson pair production at NLO, JHEP 10 (2016) 107 [arXiv:1608.04798] [INSPIRE].
J. Davies, G. Heinrich, S. P. Jones, M. Kerner, G. Mishima, M. Steinhauser et al., Double Higgs boson production at NLO: combining the exact numerical result and high-energy expansion, JHEP 11 (2019) 024 [arXiv:1907.06408] [INSPIRE].
J. Davies, G. Mishima, M. Steinhauser and D. Wellmann, gg → ZZ: analytic two-loop results for the low- and high-energy regions, JHEP 04 (2020) 024 [arXiv:2002.05558] [INSPIRE].
J. Davies, G. Mishima and M. Steinhauser, Virtual corrections to gg → ZH in the high-energy and large-mt limits, arXiv:2011.12314 [INSPIRE].
A. V. Smirnov and F. S. Chuharev, FIRE6: Feynman Integral REduction with Modular Arithmetic, Comput. Phys. Commun. 247 (2020) 106877 [arXiv:1901.07808] [INSPIRE].
R. N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523 (2014) 012059 [arXiv:1310.1145] [INSPIRE].
J. Davies, G. Mishima, M. Steinhauser and D. Wellmann, Double-Higgs boson production in the high-energy limit: planar master integrals, JHEP 03 (2018) 048 [arXiv:1801.09696] [INSPIRE].
J. Davies, G. Mishima, M. Steinhauser and D. Wellmann, Double Higgs boson production at NLO in the high-energy limit: complete analytic results, JHEP 01 (2019) 176 [arXiv:1811.05489] [INSPIRE].
B. Ruijl, T. Ueda and J. Vermaseren, FORM version 4.2, arXiv:1707.06453 [INSPIRE].
R. Harlander, T. Seidensticker and M. Steinhauser, Complete corrections of Order alpha αs to the decay of the Z boson into bottom quarks, Phys. Lett. B 426 (1998) 125 [hep-ph/9712228] [INSPIRE].
T. Seidensticker, Automatic application of successive asymptotic expansions of Feynman diagrams, in 6th International Workshop on New Computing Techniques in Physics Research: Software Engineering, Artificial Intelligence Neural Nets, Genetic Algorithms, Symbolic Algebra, Automatic Calculation, (1999) [hep-ph/9905298] [INSPIRE].
S. A. Larin, The Renormalization of the axial anomaly in dimensional regularization, Phys. Lett. B 303 (1993) 113 [hep-ph/9302240] [INSPIRE].
S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
G. Heinrich, S. P. Jones, M. Kerner, G. Luisoni and E. Vryonidou, NLO predictions for Higgs boson pair production with full top quark mass dependence matched to parton showers, JHEP 08 (2017) 088 [arXiv:1703.09252] [INSPIRE].
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput. Phys. Commun. 140 (2001) 418 [hep-ph/0012260] [INSPIRE].
T. Hahn and M. Pérez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153 [hep-ph/9807565] [INSPIRE].
H. H. Patel, Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 218 (2017) 66 [arXiv:1612.00009] [INSPIRE].
O. Brein, M. Ciccolini, S. Dittmaier, A. Djouadi, R. Harlander and M. Krämer, Precision calculations for associated WH and ZH production at hadron colliders, in 3rd Les Houches Workshop on Physics at TeV Colliders, (2004) [hep-ph/0402003] [INSPIRE].
B. A. Kniehl, On the Decay Mode Z → Hgg, Phys. Rev. D 42 (1990) 3100 [INSPIRE].
L. Chen, G. Heinrich, S. P. Jones, M. Kerner, J. Klappert and J. Schlenk, ZH production in gluon fusion: two-loop amplitudes with full top quark mass dependence, Tech. Rep. ZU-TH 45/20 (2020) [arXiv:2011.12325].
G. Degrassi, P. P. Giardino and R. Gröber, On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model, Eur. Phys. J. C 76 (2016) 411 [arXiv:1603.00385] [INSPIRE].
M. Jacob and G. C. Wick, On the General Theory of Collisions for Particles with Spin, Annals Phys. 7 (1959) 404 [INSPIRE].
J. J. Sakurai and J. Napolitano, Modern Quantum Mechanics, Cambridge University Press, Cambridge (2017) [DOI].
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Davies, J., Mishima, G. & Steinhauser, M. Virtual corrections to gg → ZH in the high-energy and large-mt limits. J. High Energ. Phys. 2021, 34 (2021). https://doi.org/10.1007/JHEP03(2021)034
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DOI: https://doi.org/10.1007/JHEP03(2021)034