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Tensor integrand reduction via Laurent expansion. (English) Zbl 1388.81006

MSC:
81-04 Software, source code, etc. for problems pertaining to quantum theory
81V05 Strong interaction, including quantum chromodynamics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
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[1] 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]. · Zbl 1116.81067
[2] Ellis, RK; Giele, WT; Kunszt, Z., A numerical unitarity formalism for evaluating one-loop amplitudes, JHEP, 03, 003, (2008)
[3] Giele, WT; Kunszt, Z.; Melnikov, K., Full one-loop amplitudes from tree amplitudes, JHEP, 04, 049, (2008) · Zbl 1246.81170
[4] Hameren, A., Oneloop: for the evaluation of one-loop scalar functions, Comput. Phys. Commun., 182, 2427, (2011) · Zbl 1262.81253
[5] Binoth, T.; Guillet, JP; Heinrich, G.; Pilon, E.; Reiter, T., Golem95: A numerical program to calculate one-loop tensor integrals with up to six external legs, Comput. Phys. Commun., 180, 2317, (2009) · Zbl 1197.81004
[6] Guillet, JP; Heinrich, G.; Soden-Fraunhofen, JF, Tools for NLO automation: extension of the golem95C integral library, Comput. Phys. Commun., 185, 1828, (2014) · Zbl 1348.81018
[7] 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].
[8] Ellis, RK; Zanderighi, G., Scalar one-loop integrals for QCD, JHEP, 02, 002, (2008)
[9] Oldenborgh, GJ, FF: A package to evaluate one loop Feynman diagrams, Comput. Phys. Commun., 66, 1, (1991) · Zbl 0997.65518
[10] Ossola, G.; Papadopoulos, CG; Pittau, R., Cuttools: A program implementing the OPP reduction method to compute one-loop amplitudes, JHEP, 03, 042, (2008)
[11] Mastrolia, P.; Ossola, G.; Reiter, T.; Tramontano, F., Scattering amplitudes from unitarity-based reduction algorithm at the integrand-level, JHEP, 08, 080, (2010) · Zbl 1290.81151
[12] Hameren, A.; Papadopoulos, CG; Pittau, R., Automated one-loop calculations: A proof of concept, JHEP, 09, 106, (2009)
[13] Bevilacqua, G.; etal., Helac-nlo, Comput. Phys. Commun., 184, 986, (2013)
[14] Berger, CF; etal., An automated implementation of on-shell methods for one-loop amplitudes, Phys. Rev., D 78, 036003, (2008)
[15] Cullen, G.; etal., Automated one-loop calculations with gosam, Eur. Phys. J., C 72, 1889, (2012)
[16] Cascioli, F.; Maierhofer, P.; Pozzorini, S., Scattering amplitudes with open loops, Phys. Rev. Lett., 108, 111601, (2012)
[17] Badger, S.; Biedermann, B.; Uwer, P., Ngluon: A package to calculate one-loop multi-gluon amplitudes, Comput. Phys. Commun., 182, 1674, (2011) · Zbl 1262.81102
[18] Badger, S.; Biedermann, B.; Uwer, P.; Yundin, V., Numerical evaluation of virtual corrections to multi-jet production in massless QCD, Comput. Phys. Commun., 184, 1981, (2013)
[19] Heinrich, G.; Ossola, G.; Reiter, T.; Tramontano, F., Tensorial reconstruction at the integrand level, JHEP, 10, 105, (2010) · Zbl 1291.81389
[20] Hirschi, V.; Frederix, R.; Frixione, S.; Garzelli, MV; Maltoni, F.; Pittau, R., Automation of one-loop QCD corrections, JHEP, 05, 044, (2011) · Zbl 1296.81138
[21] Alwall, J.; etal., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP, 07, 079, (2014)
[22] Passarino, G.; Veltman, MJG, one loop corrections for e\^{+}\(e\)\^{−}annihilation into μ\^{+}\(μ\)\^{−}in the Weinberg model, Nucl. Phys., B 160, 151, (1979)
[23] Davydychev, AI, A simple formula for reducing Feynman diagrams to scalar integrals, Phys. Lett., B 263, 107, (1991)
[24] Cullen, G.; etal., Recent progress in the golem project, Nucl. Phys. Proc. Suppl., 205-206, 67, (2010)
[25] Fleischer, J.; Riemann, T.; Yundin, V., One-loop tensor Feynman integral reduction with signed minors, J. Phys. Conf. Ser., 368, 012057, (2012)
[26] Aquino, P.; Link, W.; Maltoni, F.; Mattelaer, O.; Stelzer, T., ALOHA: automatic libraries of helicity amplitudes for Feynman diagram computations, Comput. Phys. Commun., 183, 2254, (2012)
[27] P. Mastrolia, E. Mirabella and T. Peraro, Integrand reduction of one-loop scattering amplitudes through Laurent series expansion, JHEP06 (2012) 095 [Erratum ibid.1211 (2012) 128] [arXiv:1203.0291] [INSPIRE]. · Zbl 1331.81218
[28] Forde, D., Direct extraction of one-loop integral coefficients, Phys. Rev., D 75, 125019, (2007)
[29] Badger, SD, Direct extraction of one loop rational terms, JHEP, 01, 049, (2009) · Zbl 1243.81219
[30] Peraro, T., Ninja: automated integrand reduction via Laurent expansion for one-loop amplitudes, Comput. Phys. Commun., 185, 2771, (2014) · Zbl 1360.81021
[31] 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].
[32] Deurzen, H.; Luisoni, G.; Mastrolia, P.; Mirabella, E.; Ossola, G.; Peraro, T., Multi-leg one-loop massive amplitudes from integrand reduction via Laurent expansion, JHEP, 03, 115, (2014)
[33] A. Denner and S. Dittmaier, The complex-mass scheme for perturbative calculations with unstable particles, Nucl. Phys. Proc. Suppl.160 (2006) 22 [hep-ph/0605312] [INSPIRE]. · Zbl 1192.81158
[34] A. Denner, S. Dittmaier, M. Roth and L.H. Wieders, Electroweak corrections to charged-current e\^{+}\(e\)\^{−} → 4 fermion processes: Technical details and further results, Nucl. Phys.B 724 (2005) 247 [Erratum ibid.B 854 (2012) 504] [hep-ph/0505042] [INSPIRE].
[35] Draggiotis, P.; Garzelli, MV; Papadopoulos, CG; Pittau, R., Feynman rules for the rational part of the QCD 1-loop amplitudes, JHEP, 04, 072, (2009)
[36] Comon, P.; Golub, G.; Lim, L-H; Mourrain, B., Symmetric tensors and symmetric tensor rank, SIAM J. Matrix Anal. Appl., 30, 1254, (2008) · Zbl 1181.15014
[37] Nason, P.; Dawson, S.; Ellis, RK, The total cross-section for the production of heavy quarks in hadronic collisions, Nucl. Phys., B 303, 607, (1988)
[38] S. Dittmaier, P. Uwer and S. Weinzierl, NLO QCD corrections to\( t\overline{t} \)+ jet production at hadron colliders, Phys. Rev. Lett.98 (2007) 262002 [hep-ph/0703120] [INSPIRE].
[39] Bevilacqua, G.; Czakon, M.; Papadopoulos, CG; Worek, M., Dominant QCD backgrounds in Higgs boson analyses at the LHC: A study of \( pp→ t\overline{t}+2 \) jets at next-to-leading order, Phys. Rev. Lett., 104, 162002, (2010)
[40] Artoisenet, P.; etal., A framework for Higgs characterisation, JHEP, 11, 043, (2013)
[41] 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].
[42] Cullen, G.; etal., Next-to-leading-order QCD corrections to Higgs boson production plus three jets in gluon fusion, Phys. Rev. Lett., 111, 131801, (2013)
[43] Deurzen, H.; etal., NLO QCD corrections to the production of Higgs plus two jets at the LHC, Phys. Lett., B 721, 74, (2013)
[44] P. Mathews, V. Ravindran, K. Sridhar and W.L. van Neerven, Next-to-leading order QCD corrections to the Drell-Yan cross section in models of TeV-scale gravity, Nucl. Phys.B 713 (2005) 333 [hep-ph/0411018] [INSPIRE].
[45] Karg, S.; Krämer, M.; Li, Q.; Zeppenfeld, D., NLO QCD corrections to graviton production at hadron colliders, Phys. Rev., D 81, 094036, (2010)
[46] G. Das, C. Degrande, V. Hirschi, F. Maltoni and H. Shao, Dark matter production at the LHC with s-channel spin-2 mediator, in preparation.
[47] Hirschi, V.; Mattelaer, O., Automated event generation for loop-induced processes, JHEP, 10, 146, (2015) · Zbl 1388.81011
[48] Glover, EWN; Bij, JJ, Z-boson pair production via gluon fusion, Nucl. Phys., B 321, 561, (1989)
[49] Agrawal, P.; Shivaji, A., Production of γzg and associated processes via gluon fusion at hadron colliders, JHEP, 01, 071, (2013)
[50] Actis, S.; Denner, A.; Hofer, L.; Scharf, A.; Uccirati, S., Recursive generation of one-loop amplitudes in the standard model, JHEP, 04, 037, (2013)
[51] A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys.B 734 (2006) 62 [hep-ph/0509141] [INSPIRE]. · Zbl 1192.81158
[52] Denner, A.; Dittmaier, S., Scalar one-loop 4-point integrals, Nucl. Phys., B 844, 199, (2011) · Zbl 1207.81167
[53] Ball, RD; etal., Parton distributions with LHC data, Nucl. Phys., B 867, 244, (2013)
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