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We present the library Collier for the numerical evaluation of one-loop scalar and tensor integrals in perturbative relativistic quantum field theories.
doi:10.1103/PhysRev.85.231
L. M. Brown, R. P. Feynman, Radiative corrections to Compton scattering, Phys. Rev. 85 (1952) 231–244 · 1952
Earlier work this paper cites.
doi:10.1007/BF02832919
D. Melrose, Reduction of Feynman diagrams, Nuovo Cim. 40 (1965) 181–213 · 1965
Earlier work this paper cites.
doi:10.1016/0550-3213(79)90605-9
G. ’t Hooft, M. Veltman, Scalar one-loop integrals, Nucl.Phys. B153 (1979) 365–401 · 1979
Earlier work this paper cites.
doi:10.1016/0370-2693(84)90237-5
W. van Neerven, J. Vermaseren, Large loop integrals, Phys.Lett. B137 (1984) 241 · 1984
Earlier work this paper cites.
doi:10.1007/BF01621031
G. van Oldenborgh, J. Vermaseren, New algorithms for one-loop integrals, Z.Phys. C46 (1990) 425–438 · 1990
Earlier work this paper cites.
doi:10.1016/0550-3213(90)90636-R
W. Beenakker, A. Denner, Infrared divergent scalar box integrals with applications in the Electroweak Standard Model, Nucl. Phys. B338 (1990) 349–370 · 1990
Earlier work this paper cites.
doi:10.1016/0010-4655(91)90130-D
R. Mertig, M. Böhm, A. Denner, FEYN CALC: Computer algebraic calculation of Feynman amplitudes, Comput. Phys. Commun. 64 (1991) 345–359 · 1991
Earlier work this paper cites.
doi:10.1016/0550-3213(91)90011-L
A. Denner, U. Nierste, R. Scharf, A compact expression for the scalar one-loop four-point function, Nucl. Phys. B367 (1991) 637–656 · 1991
Earlier work this paper cites.
doi:10.1016/0010-4655(91)90002-3
G. van Oldenborgh, FF: A Package to evaluate one-loop Feynman diagrams, Comput.Phys.Commun. 66 (1991) 1–15 · 1991
Earlier work this paper cites.
arXiv:hep-ph/9212308
Z. Bern, L. J. Dixon, D. A. Kosower, Dimensionally regulated one-loop integrals, Phys.Lett. B302 (1993) 299–308 · 1993
Earlier work this paper cites.
A. Denner, Techniques for calculation of electroweak radiative corrections at the one-loop level and results for W physics at LEP-200, Fortsch.Phys. 41 (1993) 307–420 · 1993
Earlier work this paper cites.
arXiv:hep-ph/9403226
Z. Bern, L. J. Dixon, D. C. Dunbar, D. A. Kosower, One-loop n n -point gauge theory amplitudes, unitarity and collinear limits, Nucl.Phys. B425 (1994) 217–260 · 1994
Earlier work this paper cites.
arXiv:hep-ph/9306240
Z. Bern, L. J. Dixon, D. A. Kosower, Dimensionally regulated pentagon integrals, Nucl.Phys. B412 (1994) 751–816 · 1994
Earlier work this paper cites.
arXiv:hep-ph/9409265
Z. Bern, L. J. Dixon, D. C. Dunbar, D. A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl.Phys. B435 (1995) 59–101 · 1995
Earlier work this paper cites.
arXiv:hep-ph/9807565
T. Hahn, M. Perez-Victoria, Automatized one-loop calculations in four-dimensions and D-dimensions, Comput.Phys.Commun. 118 (1999) 153–165 · 1999
Earlier work this paper cites.
arXiv:hep-ph/9911342
T. Binoth, J. Guillet, G. Heinrich, Reduction formalism for dimensionally regulated one-loop N-point integrals, Nucl.Phys. B572 (2000) 361–386 · 2000
Earlier work this paper cites.
arXiv:hep-ph/0012260
T. Hahn, Generating Feynman diagrams and amplitudes with FeynArts 3, Comput.Phys.Commun. 140 (2001) 418–431 · 2001
Earlier work this paper cites.
arXiv:hep-ph/0212259
A. Denner, S. Dittmaier, Reduction of one-loop tensor 5-point integrals, Nucl. Phys. B658 (2003) 175–202 · 2003
Earlier work this paper cites.
arXiv:hep-ph/0211352
W. Beenakker, et al., NLO QCD corrections to t anti-t H production in hadron collisions, Nucl. Phys. B653 (2003) 151–203 · 2003
Earlier work this paper cites.
arXiv:hep-ph/0308246
S. Dittmaier, Separation of soft and collinear singularities from one-loop N-point integrals, Nucl. Phys. B675 (2003) 447–466 · 2003
Earlier work this paper cites.
arXiv:hep-ph/0303184
G. Duplancic, B. Nizic, Reduction method for dimensionally regulated one-loop N-point Feynman integrals, Eur.Phys.J. C35 (2004) 105–118 · 2004
Earlier work this paper cites.
arXiv:hep-ph/0402152
W. Giele, E. N. Glover, A calculational formalism for one-loop integrals, JHEP 0404 (2004) 029 · 2004
Earlier work this paper cites.
arXiv:hep-ph/0407016
W. Giele, E. W. N. Glover, G. Zanderighi, Numerical evaluation of one-loop diagrams near exceptional momentum configurations, Nucl. Phys. Proc. Suppl. 135 (2004) 275–279 · 2004
Earlier work this paper cites.
arXiv:hep-th/0412103
R. Britto, F. Cachazo, B. Feng, Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills, Nucl.Phys. B725 (2005) 275–305 · 2005
Earlier work this paper cites.
arXiv:hep-ph/0504267
T. Binoth, J. P. Guillet, G. Heinrich, E. Pilon, C. Schubert, An algebraic / numerical formalism for one-loop multi-leg amplitudes, JHEP 10 (2005) 015 · 2005
Earlier work this paper cites.
arXiv:hep-ph/0509141
A. Denner, S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B734 (2006) 62–115 · 2005
Cited alongside, same era.
arXiv:hep-ph/0604011
A. Bredenstein, A. Denner, S. Dittmaier, M. M. Weber, Precise predictions for the Higgs-boson decay H → WW / ZZ → 4 {\mathrm{H}}\to{\mathrm{W}}{\mathrm{W}}/{\mathrm{Z}}{\mathrm{Z}}\to 4\, leptons, Phys. Rev. D74 (2006) 013004 · 2006
Cited alongside, same era.
arXiv:hep-ph/0609007
G. Ossola, C. G. Papadopoulos, R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B763 (2007) 147–169 · 2007
Cited alongside, same era.
arXiv:hep-ph/0611234
A. Bredenstein, A. Denner, S. Dittmaier, M. M. Weber, Radiative corrections to the semileptonic and hadronic Higgs-boson decays H → WW / ZZ → 4 {\mathrm{H}}\to{\mathrm{W}}{\mathrm{W}}/{\mathrm{Z}}{\mathrm{Z}}\to 4\, fermions, JHEP 02 (2007) 080 · 2007
Cited alongside, same era.
Z. Bern, et al., The NLO multileg working group, Summary report (2008) · 2008
Cited alongside, same era.
J. Alcaraz Maestre, et al., The SM and NLO Multileg and SM MC Working Groups: Summary Report (2012) · 2012
Later among the works it cites.
G. Bevilacqua, et al., HELAC-NLO, Comput.Phys.Commun. 184 (2013) 986–997 · 2012
Later among the works it cites.
F. Cascioli, P. Maierhöfer, S. Pozzorini, Scattering amplitudes with Open Loops, Phys.Rev.Lett. 108 (2012) 111601 · 2012
Later among the works it cites.
S. Agrawal, T. Hahn, E. Mirabella, FormCalc 7.5, PoS LL2012 (2012) 046 · 2012
Later among the works it cites.
arXiv:hep-ph/0505042
A. Denner, S. Dittmaier, M. Roth, L. Wieders, Electroweak corrections to charged-current e + e − → {\mathrm{e^{+}}}{\mathrm{e^{-}}}\to 4 fermion processes: Technical details and further results, Nucl.Phys. B724 (2005) 247–294, erratum-ibid. B854 · 2012
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C. Berger, et al., An automated implementation of on-shell methods for one-loop amplitudes, Phys.Rev. D78 (2008) 036003 · 2008
Cited alongside, same era.
G. Ossola, C. G. Papadopoulos, R. Pittau, CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes, JHEP 0803 (2008) 042 · 2008
Cited alongside, same era.
R. K. Ellis, W. Giele, Z. Kunszt, A numerical unitarity formalism for evaluating one-loop amplitudes, JHEP 0803 (2008) 003 · 2008
Cited alongside, same era.
W. T. Giele, Z. Kunszt, K. Melnikov, Full one-loop amplitudes from tree amplitudes, JHEP 0804 (2008) 049 · 2008
Cited alongside, same era.
R. K. Ellis, G. Zanderighi, Scalar one-loop integrals for QCD, JHEP 0802 (2008) 002 · 2008
Cited alongside, same era.
A. Bredenstein, A. Denner, S. Dittmaier, S. Pozzorini, NLO QCD corrections to t t ¯ b b ¯ {\mathrm{t}}\bar{\mathrm{t}}{\mathrm{b}}\bar{\mathrm{b}} production at the LHC: 1. Quark-antiquark annihilation, JHEP 0808 (2008) 108 · 2008
Cited alongside, same era.
A. van Hameren, C. Papadopoulos, R. Pittau, Automated one-loop calculations: A proof of concept, JHEP 0909 (2009) 106 · 2009
Cited alongside, same era.
Later among the works it cites.
A. Denner, S. Dittmaier, S. Kallweit, S. Pozzorini, NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders, JHEP 1210 (2012) 110 · 2012
Later among the works it cites.
J. Campbell, et al., Working Group Report: Quantum Chromodynamics (2013) · 2013
Later among the works it cites.
S. Actis, A. Denner, L. Hofer, A. Scharf, S. Uccirati, Recursive generation of one-loop amplitudes in the Standard Model, JHEP 1304 (2013) 037 · 2013
Later among the works it cites.
J. Butterworth, et al., Les Houches 2013: Physics at TeV Colliders, Standard Model Working Group Report (2014) · 2014
Later among the works it cites.
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 · 2014
Later among the works it cites.
S. Frixione, V. Hirschi, D. Pagani, H. S. Shao, M. Zaro, Weak corrections to Higgs hadroproduction in association with a top-quark pair, JHEP 09 (2014) 065 · 2014
Later among the works it cites.
B. Chokoufe Nejad, T. Hahn, J.-N. Lang, E. Mirabella, FormCalc 8: Better Algebra and Vectorization, J.Phys.Conf.Ser. 523 (2014) 012050 · 2014
Later among the works it cites.
F. Cascioli, S. Kallweit, P. Maierhöfer, S. Pozzorini, A unified NLO description of top-pair and associated Wt production, Eur.Phys.J. C74 (2014) 2783 · 2014
Later among the works it cites.
M. Grazzini, S. Kallweit, D. Rathlev, A. Torre, Z γ {\mathrm{Z}}\gamma production at hadron colliders in NNLO QCD, Phys. Lett. B731 (2014) 204–207 · 2014
Later among the works it cites.
F. Cascioli, et al., ZZ production at hadron colliders in NNLO QCD, Phys. Lett. B735 (2014) 311–313 · 2014
Later among the works it cites.
T. Gehrmann, et al., W + W − {\mathrm{W}}^{+}{\mathrm{W}}^{-} Production at Hadron Colliders in Next to Next to Leading Order QCD, Phys. Rev. Lett. 113 (21) (2014) 212001 · 2014
Later among the works it cites.
S. Frixione, V. Hirschi, D. Pagani, H. S. Shao, M. Zaro, Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons, JHEP 06 (2015) 184 · 2015
Later among the works it cites.
S. Kallweit, J. M. Lindert, P. Maierhöfer, S. Pozzorini, M. Schö¶nherr, NLO electroweak automation and precise predictions for W+multijet production at the LHC, JHEP 04 (2015) 012 · 2015
Later among the works it cites.
S. Kallweit, J. M. Lindert, S. Pozzorini, M. Schönherr, P. Maierhöfer, NLO QCD+EW predictions for V+jets including off-shell vector-boson decays and multijet merging (2015) · 2015
Later among the works it cites.
H. H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276–290 · 2015
Later among the works it cites.
A. Denner, L. Hofer, A. Scharf, S. Uccirati, Electroweak corrections to lepton-pair production in association with two hard jets at the LHC, JHEP 01 (2015) 094 · 2015
Later among the works it cites.
S. Höche, et al., Next-to-leading-order QCD predictions for top-quark pair production with up to two jets merged with a parton shower (2015) · 2015
Later among the works it cites.
A. Denner, 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 · 2015
Later among the works it cites.
V. Shtabovenko, R. Mertig, F. Orellana, New Developments in FeynCalc 9.0 (2016) · 2016
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G. Cullen, et al., Automated one-loop calculations with GoSam, Eur.Phys.J. C72 (2012) 1889 · 2034
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