Abstract
We consider soft gluon emission corrections to the production of a top-antitop pair in association with a Higgs boson at hadron colliders. In particular, we present a soft-gluon resummation formula for this production process and gather all elements needed to evaluate it at next-to-next-to-leading logarithmic order. We employ these results to obtain approximate next-to-next-to-leading order (NNLO) formulas, and implement them in a bespoke parton-level Monte Carlo program which can be used to calculate the total cross section along with arbitrary differential distributions. We use this tool to study the phenomenological impact of the approximate NNLO corrections, finding that they increase the total cross section and the differential distributions which we evaluated in this work.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W. Beenakker, S. Dittmaier, M. Krämer, B. Plumper, M. Spira and P.M. Zerwas, Higgs radiation off top quarks at the Tevatron and the LHC, Phys. Rev. Lett. 87 (2001) 201805 [hep-ph/0107081] [INSPIRE].
W. Beenakker, S. Dittmaier, M. Krämer, B. Plumper, M. Spira and P.M. Zerwas, NLO QCD corrections to \( t\overline{t}H \) production in hadron collisions, Nucl. Phys. B 653 (2003) 151 [hep-ph/0211352] [INSPIRE].
L. Reina and S. Dawson, Next-to-leading order results for \( t\overline{t}h \) production at the Tevatron, Phys. Rev. Lett. 87 (2001) 201804 [hep-ph/0107101] [INSPIRE].
L. Reina, S. Dawson and D. Wackeroth, QCD corrections to associated \( t\overline{t}h \) production at the Tevatron, Phys. Rev. D 65 (2002) 053017 [hep-ph/0109066] [INSPIRE].
S. Dawson, L.H. Orr, L. Reina and D. Wackeroth, Associated top quark Higgs boson production at the LHC, Phys. Rev. D 67 (2003) 071503 [hep-ph/0211438] [INSPIRE].
S. Dawson, C. Jackson, L.H. Orr, L. Reina and D. Wackeroth, Associated Higgs production with top quarks at the large hadron collider: NLO QCD corrections, Phys. Rev. D 68 (2003) 034022 [hep-ph/0305087] [INSPIRE].
R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, R. Pittau and P. Torrielli, Scalar and pseudoscalar Higgs production in association with a top-antitop pair, Phys. Lett. B 701 (2011) 427 [arXiv:1104.5613] [INSPIRE].
M.V. Garzelli, A. Kardos, C.G. Papadopoulos and Z. Trócsányi, Standard Model Higgs boson production in association with a top anti-top pair at NLO with parton showering, Europhys. Lett. 96 (2011) 11001 [arXiv:1108.0387] [INSPIRE].
Y. Zhang, W.-G. Ma, R.-Y. Zhang, C. Chen and L. Guo, QCD NLO and EW NLO corrections to \( t\overline{t}H \) production with top quark decays at hadron collider, Phys. Lett. B 738 (2014) 1 [arXiv:1407.1110] [INSPIRE].
S. Frixione, V. Hirschi, D. Pagani, H.S. Shao and M. Zaro, Weak corrections to Higgs hadroproduction in association with a top-quark pair, JHEP 09 (2014) 065 [arXiv:1407.0823] [INSPIRE].
S. Frixione, V. Hirschi, D. Pagani, H.S. Shao and M. Zaro, Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons, JHEP 06 (2015) 184 [arXiv:1504.03446] [INSPIRE].
H.B. Hartanto, B. Jager, L. Reina and D. Wackeroth, Higgs boson production in association with top quarks in the POWHEG BOX, Phys. Rev. D 91 (2015) 094003 [arXiv:1501.04498] [INSPIRE].
A. Denner and R. Feger, NLO QCD corrections to off-shell top-antitop production with leptonic decays in association with a Higgs boson at the LHC, JHEP 11 (2015) 209 [arXiv:1506.07448] [INSPIRE].
A. Kulesza, L. Motyka, T. Stebel and V. Theeuwes, Soft gluon resummation for associated \( t\overline{t}H \) production at the LHC, arXiv:1509.02780 [INSPIRE].
V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Renormalization-Group Improved Predictions for Top-Quark Pair Production at Hadron Colliders, JHEP 09 (2010) 097 [arXiv:1003.5827] [INSPIRE].
T. Becher, A. Broggio and A. Ferroglia, Introduction to Soft-Collinear Effective Theory, arXiv:1410.1892 [INSPIRE].
V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.-L. Yang, RG-improved single-particle inclusive cross sections and forward-backward asymmetry in \( t\overline{t} \) production at hadron colliders, JHEP 09 (2011) 070 [arXiv:1103.0550] [INSPIRE].
V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, The top-pair forward-backward asymmetry beyond NLO, Phys. Rev. D 84 (2011) 074004 [arXiv:1106.6051] [INSPIRE].
M. Beneke, P. Falgari and C. Schwinn, Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders, Nucl. Phys. B 842 (2011) 414 [arXiv:1007.5414] [INSPIRE].
M. Beneke, P. Falgari, S. Klein and C. Schwinn, Hadronic top-quark pair production with NNLL threshold resummation, Nucl. Phys. B 855 (2012) 695 [arXiv:1109.1536] [INSPIRE].
M. Beneke et al., Inclusive Top-Pair Production Phenomenology with TOPIXS, JHEP 07 (2012) 194 [arXiv:1206.2454] [INSPIRE].
V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Precision predictions for the \( t\overline{t} \) production cross section at hadron colliders, Phys. Lett. B 703 (2011) 135 [arXiv:1105.5824] [INSPIRE].
H.T. Li, C.S. Li and S.A. Li, Renormalization group improved predictions for \( t\overline{t}{W}^{\pm } \) production at hadron colliders, Phys. Rev. D 90 (2014) 094009 [arXiv:1409.1460] [INSPIRE].
A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Two-loop divergences of scattering amplitudes with massive partons, Phys. Rev. Lett. 103 (2009) 201601 [arXiv:0907.4791] [INSPIRE].
A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories, JHEP 11 (2009) 062 [arXiv:0908.3676] [INSPIRE].
G. Cullen et al., Automated One-Loop Calculations with GoSam, Eur. Phys. J. C 72 (2012) 1889 [arXiv:1111.2034] [INSPIRE].
G. Cullen et al., GoSam -2.0: a tool for automated one-loop calculations within the Standard Model and beyond, Eur. Phys. J. C 74 (2014) 3001 [arXiv:1404.7096] [INSPIRE].
F. Cascioli, P. Maierhofer and S. Pozzorini, Scattering Amplitudes with Open Loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [INSPIRE].
V. Hirschi, R. Frederix, S. Frixione, M.V. Garzelli, F. Maltoni and R. Pittau, Automation of one-loop QCD corrections, JHEP 05 (2011) 044 [arXiv:1103.0621] [INSPIRE].
D. Farhi, I. Feige, M. Freytsis and M.D. Schwartz, Streamlining resummed QCD calculations using Monte Carlo integration, arXiv:1507.06315 [INSPIRE].
T. Becher, M. Neubert and G. Xu, Dynamical Threshold Enhancement and Resummation in Drell-Yan Production, JHEP 07 (2008) 030 [arXiv:0710.0680] [INSPIRE].
J. Alwall et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
A. Broggio, A.S. Papanastasiou and A. Signer, Renormalization-group improved fully differential cross sections for top pair production, JHEP 10 (2014) 98 [arXiv:1407.2532] [INSPIRE].
V. Ahrens, A. Ferroglia, M. Neubert, B.D. Pecjak and L.L. Yang, Threshold expansion at order α 4 s for the \( t\overline{t} \) invariant mass distribution at hadron colliders, Phys. Lett. B 687 (2010) 331 [arXiv:0912.3375] [INSPIRE].
G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007] [INSPIRE].
G. Ossola, C.G. Papadopoulos and R. Pittau, CutTools: A program implementing the OPP reduction method to compute one-loop amplitudes, JHEP 03 (2008) 042 [arXiv:0711.3596] [INSPIRE].
H. van Deurzen, G. Luisoni, P. Mastrolia, E. Mirabella, G. Ossola and T. Peraro, Multi-leg One-loop Massive Amplitudes from Integrand Reduction via Laurent Expansion, JHEP 03 (2014) 115 [arXiv:1312.6678] [INSPIRE].
T. Peraro, Ninja: Automated Integrand Reduction via Laurent Expansion for One-Loop Amplitudes, Comput. Phys. Commun. 185 (2014) 2771 [arXiv:1403.1229] [INSPIRE].
T. Binoth, J.P. Guillet, G. Heinrich, E. Pilon and T. Reiter, Golem95: A numerical program to calculate one-loop tensor integrals with up to six external legs, Comput. Phys. Commun. 180 (2009) 2317 [arXiv:0810.0992] [INSPIRE].
P. Mastrolia, G. Ossola, T. Reiter and F. Tramontano, Scattering AMplitudes from Unitarity-based Reduction Algorithm at the Integrand-level, JHEP 08 (2010) 080 [arXiv:1006.0710] [INSPIRE].
A. Denner and S. Dittmaier, Reduction of one loop tensor five point integrals, Nucl. Phys. B 658 (2003) 175 [hep-ph/0212259] [INSPIRE].
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B 734 (2006) 62 [hep-ph/0509141] [INSPIRE].
A. Denner and S. Dittmaier, Scalar one-loop 4-point integrals, Nucl. Phys. B 844 (2011) 199 [arXiv:1005.2076] [INSPIRE].
A. Denner, S. Dittmaier and L. Hofer, COLLIER — A fortran-library for one-loop integrals, PoS(LL2014)071 [arXiv:1407.0087] [INSPIRE].
A. Broggio, A. Ferroglia, M. Neubert, L. Vernazza and L.L. Yang, Approximate NNLO Predictions for the Stop-Pair Production Cross section at the LHC, JHEP 07 (2013) 042 [arXiv:1304.2411] [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
A.J. Larkoski, D. Neill and I.W. Stewart, Soft Theorems from Effective Field Theory, JHEP 06 (2015) 077 [arXiv:1412.3108] [INSPIRE].
D. Bonocore, E. Laenen, L. Magnea, L. Vernazza and C.D. White, The method of regions and next-to-soft corrections in Drell-Yan production, Phys. Lett. B 742 (2015) 375 [arXiv:1410.6406] [INSPIRE].
D. Bonocore, E. Laenen, L. Magnea, S. Melville, L. Vernazza and C.D. White, A factorization approach to next-to-leading-power threshold logarithms, JHEP 06 (2015) 008 [arXiv:1503.05156] [INSPIRE].
T. Hahn, CUBA: A library for multidimensional numerical integration, Comput. Phys. Commun. 168 (2005) 78 [hep-ph/0404043] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1510.01914
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Broggio, A., Ferroglia, A., Pecjak, B.D. et al. Associated production of a top pair and a Higgs boson beyond NLO. J. High Energ. Phys. 2016, 124 (2016). https://doi.org/10.1007/JHEP03(2016)124
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2016)124