Abstract
We present the computation of next-to-leading order (NLO) QCD corrections to di-photon production in association with two or three hard jets in pp collisions at a centre-of-mass energy of 8 TeV. The inclusion of NLO corrections is shown to substantially reduce the theoretical uncertainties estimated from scale variations on total cross section predictions. We study a range of differential distributions relevant for phenomenological studies of photon pair production in association with jets at the LHC. Using an efficient computational set-up we performed a detailed study of uncertainties due to parton distribution functions. The computation of the virtual corrections is performed using new features of the C++ library NJet.
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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].
CMS collaboration, Rapidity distributions in exclusive Z + jet and γ + jet events in pp collisions at \( \sqrt{s} \) = 7 TeV, Phys. Rev. D 88 (2013) 112009 [arXiv:1310.3082] [INSPIRE].
ATLAS collaboration, Dynamics of isolated-photon plus jet production in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, Nucl. Phys. B 875 (2013) 483 [arXiv:1307.6795] [INSPIRE].
S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO, Phys. Rev. Lett. 108 (2012) 072001 [arXiv:1110.2375] [INSPIRE].
V. Del Duca, F. Maltoni, Z. Nagy and Z. Trócsányi, QCD radiative corrections to prompt diphoton production in association with a jet at hadron colliders, JHEP 04 (2003) 059 [hep-ph/0303012] [INSPIRE].
T. Gehrmann, N. Greiner and G. Heinrich, Photon isolation effects at NLO in γγ + jet final states in hadronic collisions, JHEP 06 (2013) 058 [arXiv:1303.0824] [INSPIRE].
S. Frixione, Isolated photons in perturbative QCD, Phys. Lett. B 429 (1998) 369 [hep-ph/9801442] [INSPIRE].
T. Gehrmann, N. Greiner and G. Heinrich, Precise QCD predictions for the production of a photon pair in association with two jets, Phys. Rev. Lett. 111 (2013) 222002 [arXiv:1308.3660] [INSPIRE].
Z. Bern et al., Next-to-leading order diphoton + 2-jet production at the LHC, arXiv:1312.0592 [INSPIRE].
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. B 425 (1994) 217 [hep-ph/9403226] [INSPIRE].
R. Britto, F. Cachazo and B. Feng, Generalized unitarity and one-loop amplitudes in N = 4 super-Yang-Mills, Nucl. Phys. B 725 (2005) 275 [hep-th/0412103] [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].
C. Berger et al., Precise predictions for W + 4 jet production at the Large Hadron Collider, Phys. Rev. Lett. 106 (2011) 092001 [arXiv:1009.2338] [INSPIRE].
H. Ita et al., Precise predictions for Z + 4 jets at hadron colliders, Phys. Rev. D 85 (2012) 031501 [arXiv:1108.2229] [INSPIRE].
Z. Bern, G. Diana, L. Dixon, F. Febres Cordero, S. Hoeche et al., Four-jet production at the Large Hadron Collider at next-to-leading order in QCD, Phys. Rev. Lett. 109 (2012) 042001 [arXiv:1112.3940] [INSPIRE].
S. Badger, B. Biedermann, P. Uwer and V. Yundin, NLO QCD corrections to multi-jet production at the LHC with a centre-of-mass energy of \( \sqrt{s} \) = 8 TeV, Phys. Lett. B 718 (2013) 965 [arXiv:1209.0098] [INSPIRE].
Z. Bern et al., Next-to-leading order W + 5-jet production at the LHC, Phys. Rev. D 88 (2013) 014025 [arXiv:1304.1253] [INSPIRE].
S. Badger, B. Biedermann, P. Uwer and V. Yundin, Next-to-leading order QCD corrections to five jet production at the LHC, Phys. Rev. D 89 (2014) 034019 [arXiv:1309.6585] [INSPIRE].
C. Berger et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev. D 78 (2008) 036003 [arXiv:0803.4180] [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, Comput. Phys. Commun. 184 (2013) 986 [arXiv:1110.1499] [INSPIRE].
G. Cullen et al., Automated one-loop calculations with GoSam, Eur. Phys. J. C 72 (2012) 1889 [arXiv:1111.2034] [INSPIRE].
F. Cascioli, P. Maierhofer and S. Pozzorini, Scattering amplitudes with open loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [INSPIRE].
S. Actis, A. Denner, L. Hofer, A. Scharf and S. Uccirati, Recursive generation of one-loop amplitudes in the standard model, JHEP 04 (2013) 037 [arXiv:1211.6316] [INSPIRE].
F.A. Berends and W. Giele, Recursive calculations for processes with n gluons, Nucl. Phys. B 306 (1988) 759 [INSPIRE].
T. Gleisberg and S. Hoeche, Comix, a new matrix element generator, JHEP 12 (2008) 039 [arXiv:0808.3674] [INSPIRE].
S. Catani and M. Seymour, The dipole formalism for the calculation of QCD jet cross-sections at next-to-leading order, Phys. Lett. B 378 (1996) 287 [hep-ph/9602277] [INSPIRE].
T. Gleisberg and F. Krauss, Automating dipole subtraction for QCD NLO calculations, Eur. Phys. J. C 53 (2008) 501 [arXiv:0709.2881] [INSPIRE].
T. Gleisberg et al., Event generation with SHERPA 1.1, JHEP 02 (2009) 007 [arXiv:0811.4622] [INSPIRE].
S. Badger, B. Biedermann, P. Uwer and V. Yundin, Numerical evaluation of virtual corrections to multi-jet production in massless QCD, Comput. Phys. Commun. 184 (2013) 1981 [arXiv:1209.0100] [INSPIRE].
S. Badger, B. Biedermann and P. Uwer, NGluon: a package to calculate one-loop multi-gluon amplitudes, Comput. Phys. Commun. 182 (2011) 1674 [arXiv:1011.2900] [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].
D. Forde, Direct extraction of one-loop integral coefficients, Phys. Rev. D 75 (2007) 125019 [arXiv:0704.1835] [INSPIRE].
W.T. Giele, Z. Kunszt and K. Melnikov, Full one-loop amplitudes from tree amplitudes, JHEP 04 (2008) 049 [arXiv:0801.2237] [INSPIRE].
S. Badger, Direct extraction of one loop rational terms, JHEP 01 (2009) 049 [arXiv:0806.4600] [INSPIRE].
T. Binoth et al., A proposal for a standard interface between Monte Carlo tools and one-loop programs, Comput. Phys. Commun. 181 (2010) 1612 [arXiv:1001.1307] [INSPIRE].
S. Alioli et al., Update of the Binoth Les Houches Accord for a standard interface between Monte Carlo tools and one-loop programs, Comput. Phys. Commun. 185 (2014) 560 [arXiv:1308.3462] [INSPIRE].
M. Kretz and V. Lindenstruth, Vc: a C++ library for explicit vectorization, Software Pract. Exper. 42 (2012) 1409.
R.K. Ellis, K. Melnikov and G. Zanderighi, Generalized unitarity at work: first NLO QCD results for hadronic W + 3 jet production, JHEP 04 (2009) 077 [arXiv:0901.4101] [INSPIRE].
SM and NLO Multileg Working Group collaboration, J. Andersen et al., The SM and NLO multileg working group: summary report, arXiv:1003.1241 [INSPIRE].
T. Carli et al., A posteriori inclusion of parton density functions in NLO QCD final-state calculations at hadron colliders: the APPLGRID project, Eur. Phys. J. C 66 (2010) 503 [arXiv:0911.2985] [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].
H.-L. Lai et al., New parton distributions for collider physics, Phys. Rev. D 82 (2010) 074024 [arXiv:1007.2241] [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].
S. Alekhin, J. Blumlein and S. Moch, Parton distribution functions and benchmark cross sections at NNLO, Phys. Rev. D 86 (2012) 054009 [arXiv:1202.2281] [INSPIRE].
R.D. Ball et al., Parton distributions with LHC data, Nucl. Phys. B 867 (2013) 244 [arXiv:1207.1303] [INSPIRE].
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Badger, S., Guffanti, A. & Yundin, V. Next-to-leading order QCD corrections to di-photon production in association with up to three jets at the Large Hadron Collider. J. High Energ. Phys. 2014, 122 (2014). https://doi.org/10.1007/JHEP03(2014)122
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DOI: https://doi.org/10.1007/JHEP03(2014)122