Abstract
Gluon-induced contributions to the associated production of a Higgs and a Z boson are calculated with NLO accuracy in QCD. They constitute a significant contribution to the cross section for this process. The perturbative correction factor (K-factor) is calculated in the limit of infinite top-quark and vanishing bottom-quark masses. The qualitative similarity of the results to the well-known ones for the gluon-fusion process gg → H allows to conclude that rescaling the LO prediction by this K-factor leads to a reliable NLO result and realistic error estimate due to missing higher-order perturbative effects. We consider the total inclusive cross section as well as a scenario with a boosted Higgs boson, where the Higgs boson’s transverse momentum is restricted to values p T,H > 200 GeV. In both cases, we find large correction factors K ≈ 2 in most of the parameter space.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
CDF, D0 collaboration, T. Aaltonen et al., Evidence for a particle produced in association with weak bosons and decaying to a bottom-antibottom quark pair in Higgs boson searches at the Tevatron, Phys. Rev. Lett. 109 (2012) 071804 [arXiv:1207.6436] [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs cross sections: 1. inclusive observables, arXiv:1101.0593 [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, S. Dittmaier et al., Handbook of LHC Higgs cross sections: 2. Differential distributions, arXiv:1201.3084 [INSPIRE].
J.M. Butterworth, A.R. Davison, M. Rubin and G.P. Salam, Jet substructure as a new Higgs search channel at the LHC, Phys. Rev. Lett. 100 (2008) 242001 [arXiv:0802.2470] [INSPIRE].
R. Hamberg, W. van Neerven and T. Matsuura, A complete calculation of the order \( \alpha_s^2 \) correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [Erratum ibid. B 644 (2002) 403-404] [INSPIRE].
R.V. Harlander and W.B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders, Phys. Rev. Lett. 88 (2002) 201801 [hep-ph/0201206] [INSPIRE].
O. Brein, A. Djouadi and R. Harlander, NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders, Phys. Lett. B 579 (2004) 149 [hep-ph/0307206] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 107 (2011) 152003 [arXiv:1107.1164] [INSPIRE].
O. Brein, R. Harlander, M. Wiesemann and T. Zirke, Top-Quark Mediated Effects in Hadronic Higgs-Strahlung, Eur. Phys. J. C 72 (2012) 1868 [arXiv:1111.0761] [INSPIRE].
M. Ciccolini, S. Dittmaier and M. Krämer, Electroweak radiative corrections to associated WH and ZH production at hadron colliders, Phys. Rev. D 68 (2003) 073003 [hep-ph/0306234] [INSPIRE].
A. Denner, S. Dittmaier, S. Kallweit and A. Mück, Electroweak corrections to Higgs-strahlung off W/Z bosons at the Tevatron and the LHC with HAWK, JHEP 03 (2012) 075 [arXiv:1112.5142] [INSPIRE].
O. Brein et al., Precision calculations for associated WH and ZH production at hadron colliders, hep-ph/0402003 [INSPIRE].
A. Banfi and J. Cancino, Implications of QCD radiative corrections on high-p T Higgs searches, Phys. Lett. B 718 (2012) 499 [arXiv:1207.0674] [INSPIRE].
S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [hep-ph/9805244] [INSPIRE].
L.D. Landau, The moment of a 2-photon system, Dokl. Akad. Nawk. 60 (1948) 207.
C.-N. Yang, Selection rules for the dematerialization of a particle into two photons, Phys. Rev. 77 (1950) 242 [INSPIRE].
B.A. Kniehl, Associated production of Higgs and Z bosons from gluon fusion in hadron collisions, Phys. Rev. D 42 (1990) 2253 [INSPIRE].
B.A. Kniehl, On the decay mode Z → Hgg, Phys. Rev. D 42 (1990) 3100 [INSPIRE].
O. Brein, R.V. Harlander and T.J. Zirke, vh@nnlo — Higgs strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
M. Spira, A. Djouadi, D. Graudenz and P. Zerwas, Higgs boson production at the LHC, Nucl. Phys. B 453 (1995) 17 [hep-ph/9504378] [INSPIRE].
M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys. B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
S. Marzani, R.D. Ball, V. Del Duca, S. Forte and A. Vicini, Higgs production via gluon-gluon fusion with finite top mass beyond next-to-leading order, Nucl. Phys. B 800 (2008) 127 [arXiv:0801.2544] [INSPIRE].
R.V. Harlander, H. Mantler, S. Marzani and K.J. Ozeren, Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass, Eur. Phys. J. C 66 (2010) 359 [arXiv:0912.2104] [INSPIRE].
R.V. Harlander and K.J. Ozeren, Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections, Phys. Lett. B 679 (2009) 467 [arXiv:0907.2997] [INSPIRE].
A. Pak, M. Rogal and M. Steinhauser, Finite top quark mass effects in NNLO Higgs boson production at LHC, JHEP 02 (2010) 025 [arXiv:0911.4662] [INSPIRE].
A. Pak, M. Rogal and M. Steinhauser, Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders, JHEP 09 (2011) 088 [arXiv:1107.3391] [INSPIRE].
R.V. Harlander, T. Neumann, K.J. Ozeren and M. Wiesemann, Top-mass effects in differential Higgs production through gluon fusion at order \( \alpha_s^4 \), JHEP 08 (2012) 139 [arXiv:1206.0157] [INSPIRE].
V.A. Smirnov, Applied asymptotic expansions in momenta and masses, Springer Tracts on Modern Physics volume 177, Springer, U.S.A. (2002).
V.A. Smirnov, Asymptotic expansions in momenta and masses and calculation of Feynman diagrams, Mod. Phys. Lett. A 10 (1995) 1485 [hep-th/9412063] [INSPIRE].
G. ’t Hooft and M. Veltman, Regularization and renormalization of gauge fields, Nucl. Phys. B 44 (1972) 189 [INSPIRE].
P. Breitenlohner and D. Maison, Dimensional renormalization and the action principle, Commun. Math. Phys. 52 (1977) 11 [INSPIRE].
S.A. Larin, The renormalization of the axial anomaly in dimensional regularization, Phys. Lett. B 303 (1993) 113 [hep-ph/9302240] [INSPIRE].
M. Spira, A. Djouadi, D. Graudenz and P. Zerwas, SUSY Higgs production at proton colliders, Phys. Lett. B 318 (1993) 347 [INSPIRE].
R.P. Kauffman and W. Schaffer, QCD corrections to production of Higgs pseudoscalars, Phys. Rev. D 49 (1994) 551 [hep-ph/9305279] [INSPIRE].
R.V. Harlander and W.B. Kilgore, Production of a pseudoscalar Higgs boson at hadron colliders at next-to-next-to leading order, JHEP 10 (2002) 017 [hep-ph/0208096] [INSPIRE].
C. Anastasiou and K. Melnikov, Pseudoscalar Higgs boson production at hadron colliders in NNLO QCD, Phys. Rev. D 67 (2003) 037501 [hep-ph/0208115] [INSPIRE].
V. Ahrens, T. Becher, M. Neubert and L.L. Yang, Origin of the large perturbative corrections to Higgs production at hadron colliders, Phys. Rev. D 79 (2009) 033013 [arXiv:0808.3008] [INSPIRE].
J. Küblbeck, M. Böhm and A. Denner, FeynArts: computer algebraic generation of Feynman graphs and amplitudes, Commun. Math. Phys. 60 (1990) 165.
P. Nogueira, Automatic Feynman graph generation, J. Comput. Phys. 105 (1993) 279.
R. Harlander, T. Seidensticker and M. Steinhauser, Complete corrections of O(αα s ) 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, hep-ph/9905298 [INSPIRE].
M. Steinhauser, MATAD: a program package for the computation of MAssive TADpoles, Comput. Phys. Commun. 134 (2001) 335 [hep-ph/0009029] [INSPIRE].
R.V. Harlander, Virtual corrections to gg → H to two loops in the heavy top limit, Phys. Lett. B 492 (2000) 74 [hep-ph/0007289] [INSPIRE].
S. Catani and M.H. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503-504] [hep-ph/9605323] [INSPIRE].
K. Chetyrkin, J.H. Kühn and M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses, Comput. Phys. Commun. 133 (2000) 43 [hep-ph/0004189] [INSPIRE].
G. ’t Hooft and M.J.G. Veltman, Scalar one loop integrals, Nucl. Phys. B 153 (1979) 365 [INSPIRE].
G. Passarino and M. Veltman, One loop corrections for e + e − annihilation Into μ + μ − in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [INSPIRE].
W. Beenakker and A. Denner, Infrared divergent scalar box integrals with applications in the electroweak standard model, Nucl. Phys. B 338 (1990) 349 [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].
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].
T. Hahn, Automatic loop calculations with FeynArts, FormCalc and LoopTools, Nucl. Phys. Proc. Suppl. 89 (2000) 231 [hep-ph/0005029] [INSPIRE].
J. Vermaseren, New features of FORM, math-ph/0010025 [INSPIRE].
R.K. Ellis and G. Zanderighi, Scalar one-loop integrals for QCD, JHEP 02 (2008) 002 [arXiv:0712.1851] [INSPIRE].
A. Martin, W. Stirling, R. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
M. Whalley, D. Bourilkov and R. Group, The Les Houches accord PDFs (LHAPDF) and LHAGLUE, hep-ph/0508110 [INSPIRE].
LHAPDF the Les Houches Accord PDF Interface, http://projects.hepforge.org/lhapdf/.
M. Botje et al., The PDF4LHC working group interim recommendations, arXiv:1101.0538 [INSPIRE].
H.-L. Lai et al., New parton distributions for collider physics, Phys. Rev. D 82 (2010) 074024 [arXiv:1007.2241] [INSPIRE].
R.D. Ball et al., Parton distributions with LHC data, Nucl. Phys. B 867 (2013) 244 [arXiv:1207.1303] [INSPIRE].
S.L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426 [INSPIRE].
S.L. Adler and W.A. Bardeen, Absence of higher order corrections in the anomalous axial vector divergence equation, Phys. Rev. 182 (1969) 1517 [INSPIRE].
A. Denner, Techniques for calculation of electroweak radiative corrections at the one loop level and results for W physics at LEP-200, Fortschr. Phys. 41 (1993) 307 [arXiv:0709.1075] [INSPIRE].
S. Dittmaier, Separation of soft and collinear singularities from one loop N point integrals, Nucl. Phys. B 675 (2003) 447 [hep-ph/0308246] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1211.5015
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Altenkamp, L., Dittmaier, S., Harlander, R.V. et al. Gluon-induced Higgs-strahlung at next-to-leading order QCD. J. High Energ. Phys. 2013, 78 (2013). https://doi.org/10.1007/JHEP02(2013)078
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP02(2013)078