Abstract
We describe the computation of the gg → W + W − g process that contributes to the production of two W -bosons and a jet at the CERN Large Hadron Collider (LHC). While formally of next-to-next-to-leading order (NNLO) in QCD, this process can be evaluated separately from the bulk of NNLO QCD corrections because it is finite and gauge-invariant. It is also enhanced by the large gluon flux and by selection cuts employed in the Higgs boson searches in the decay channel H → W + W −, as was first pointed out by Binoth et al. in the context of gg → W + W − production. For cuts employed by the ATLAS collaboration, we find that the gluon fusion contribution to pp → W + W − j enhances the background by about ten percent and can lead to moderate distortions of kinematic distributions which are instrumental for the ongoing Higgs boson searches at the LHC. We also release a public code to compute the NLO QCD corrections to this process, in the form of an add-on to the package MCFM.
Similar content being viewed by others
References
ATLAS collaboration, G. Aad et al., Combined search for the standard model Higgs boson using up to 4.9 fb −1 of pp collision data at \(\sqrt {s} = {7}\;TeV\) with the ATLAS detector at the LHC, Phys. Lett. B 710 (2012) 49 [arXiv:1202.1408] [INSPIRE].
CMS collaboration, S. Chatrchyan et al., Combined results of searches for the standard model Higgs boson in pp collisions at \(\sqrt {s} = {7}\;TeV\), Phys. Lett. B 710 (2012) 26 [arXiv:1202.1488] [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].
C. Anastasiou and K. Melnikov, Higgs boson production at hadron colliders in NNLO QCD, Nucl. Phys. B 646 (2002) 220 [hep-ph/0207004] [INSPIRE].
V. Ravindran, J. Smith and W.L. van Neerven, NNLO corrections to the total cross-section for Higgs boson production in hadron hadron collisions, Nucl. Phys. B 665 (2003) 325 [hep-ph/0302135] [INSPIRE].
D. de Florian, M. Grazzini and Z. Kunszt, Higgs production with large transverse momentum in hadronic collisions at next-to-leading order, Phys. Rev. Lett. 82 (1999) 5209 [hep-ph/9902483] [INSPIRE].
V. Ravindran, J. Smith and W. Van Neerven, Next-to-leading order QCD corrections to differential distributions of Higgs boson production in hadron hadron collisions, Nucl. Phys. B 634 (2002) 247 [hep-ph/0201114] [INSPIRE].
C.J. Glosser and C.R. Schmidt, Next-to-leading corrections to the Higgs boson transverse momentum spectrum in gluon fusion, JHEP 12 (2002) 016 [hep-ph/0209248] [INSPIRE].
J.M. Campbell, R.K. Ellis and G. Zanderighi, Next-to-leading order Higgs + 2 jet production via gluon fusion, JHEP 10 (2006) 028 [hep-ph/0608194] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Hadronic production of a Higgs boson and two jets at next-to-leading order, Phys. Rev. D 81 (2010) 074023 [arXiv:1001.4495] [INSPIRE].
J. Ohnemus, An order α s calculation of hadronic W − W + production, Phys. Rev. D 44 (1991) 1403 [INSPIRE].
S. Frixione, A next-to-leading order calculation of the cross-section for the production of W + W − pairs in hadronic collisions, Nucl. Phys. B 410 (1993) 280 [INSPIRE].
L.J. Dixon, Z. Kunszt and A. Signer, Helicity amplitudes for O(α s ) production of W + W − , W ± Z, ZZ, W ± γ, or Zγ pairs at hadron colliders, Nucl. Phys. B 531 (1998) 3 [hep-ph/9803250] [INSPIRE].
L.J. Dixon, Z. Kunszt and A. Signer, Vector boson pair production in hadronic collisions at order α s : lepton correlations and anomalous couplings, Phys. Rev. D 60 (1999) 114037 [hep-ph/9907305] [INSPIRE].
J.M. Campbell and R.K. Ellis, An update on vector boson pair production at hadron colliders, Phys. Rev. D 60 (1999) 113006 [hep-ph/9905386] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Vector boson pair production at the LHC, JHEP 07 (2011) 018 [arXiv:1105.0020] [INSPIRE].
S. Frixione and B.R. Webber, Matching NLO QCD computations and parton shower simulations, JHEP 06 (2002) 029 [hep-ph/0204244] [INSPIRE].
T. Melia, P. Nason, R. Rontsch and G. Zanderighi, W + W − , WZ and ZZ production in the POWHEG BOX, JHEP 11 (2011) 078 [arXiv:1107.5051] [INSPIRE].
J.M. Campbell, R.K. Ellis and G. Zanderighi, Next-to-leading order predictions for WW + 1 jet distributions at the LHC, JHEP 12 (2007) 056 [arXiv:0710.1832] [INSPIRE].
S. Dittmaier, S. Kallweit and P. Uwer, NLO QCD corrections to WW + jet production at hadron colliders, Phys. Rev. Lett. 100 (2008) 062003 [arXiv:0710.1577] [INSPIRE].
S. Dittmaier, S. Kallweit and P. Uwer, NLO QCD corrections to \({{{pp}} \left/ {{p\overline p \to WW + jet + X}} \right.}\) including leptonic W-boson decays, Nucl. Phys. B 826 (2010) 18 [arXiv:0908.4124] [INSPIRE].
T. Melia, K. Melnikov, R. Rontsch and G. Zanderighi, Next-to-leading order QCD predictions for W + W + jj production at the LHC, JHEP 12 (2010) 053 [arXiv:1007.5313] [INSPIRE].
T. Melia, K. Melnikov, R. Rontsch and G. Zanderighi, NLO QCD corrections for W + W − pair production in association with two jets at hadron colliders, Phys. Rev. D 83 (2011) 114043 [arXiv:1104.2327] [INSPIRE].
N. Greiner et al., NLO QCD corrections to the production of W + W − plus two jets at the LHC, Phys. Lett. B 713 (2012) 277 [arXiv:1202.6004] [INSPIRE].
C. Kao and D.A. Dicus, Production of W + W − from gluon fusion, Phys. Rev. D 43 (1991) 1555 [INSPIRE].
T. Binoth, M. Ciccolini, N. Kauer and M. Krämer, Gluon-induced WW background to Higgs boson searches at the LHC, JHEP 03 (2005) 065 [hep-ph/0503094] [INSPIRE].
T. Binoth, M. Ciccolini, N. Kauer and M. Krämer, Gluon-induced W-boson pair production at the LHC, JHEP 12 (2006) 046 [hep-ph/0611170] [INSPIRE].
R.K. Ellis, W. Giele and Z. Kunszt, A numerical unitarity formalism for evaluating one-loop amplitudes, JHEP 03 (2008) 003 [arXiv:0708.2398] [INSPIRE].
W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes, JHEP 04 (2008) 049 [arXiv:0801.2237] [INSPIRE].
R.K. Ellis, W.T. Giele, Z. Kunszt and K. Melnikov, Masses, fermions and generalized D-dimensional unitarity, Nucl. Phys. B 822 (2009) 270 [arXiv:0806.3467] [INSPIRE].
R.K. Ellis, Z. Kunszt, K. Melnikov and G. Zanderighi, One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts, arXiv:1105.4319 [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].
J.A. Maestre et al., The SM and NLO multileg and SM MC working groups: summary report, arXiv:1203.6803 [INSPIRE].
V. Hirschi et al., Automation of one-loop QCD corrections, JHEP 05 (2011) 044 [arXiv:1103.0621] [INSPIRE].
G. Bevilacqua et al., HELAC-NLO, arXiv:1110.1499 [INSPIRE].
G. Cullen et al., Automated one-loop calculations with GoSam, arXiv:1201.2782 [INSPIRE].
F. Cascioli, P. Maierhofer and S. Pozzorini, Scattering amplitudes with open loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [INSPIRE].
F.A. Berends, W. Giele and H. Kuijf, On six jet production at hadron colliders, Phys. Lett. B 232 (1989) 266 [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-k t jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet user manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [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].
ATLAS collaboration, Search for the Standard Model Higgs boson in the H → W W → ℓνℓν decay mode with 4.7 fb −1 of ATLAS data at \(\sqrt {s} = {7}\;TeV\), ATLAS-CONF-2012-12 (2012).
J.M. Campbell, R.K. Ellis and C. Williams, Gluon-gluon contributions to W + W − production and Higgs interference effects, JHEP 10 (2011) 005 [arXiv:1107.5569] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1205.6987
Rights and permissions
About this article
Cite this article
Melia, T., Melnikov, K., Röntsch, R. et al. Gluon fusion contribution to W + W − + jet production. J. High Energ. Phys. 2012, 115 (2012). https://doi.org/10.1007/JHEP08(2012)115
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2012)115