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We compute all helicity amplitudes for four-particle scattering in massless QCD with $n_f$ fermion flavours to next-to-next-to-leading order (NNLO) in perturbation theory.
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R. N. Lee and A. A. Pomeransky, Critical points and number of master integrals , JHEP 11
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C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to massless quark gluon scattering , Nucl. Phys. B605
2001
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Z. Bern, A. De Freitas and L. J. Dixon, Two loop helicity amplitudes for gluon-gluon scattering in QCD and supersymmetric Yang-Mills theory , JHEP 03
2002
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Z. Bern, A. De Freitas and L. J. Dixon, Two loop helicity amplitudes for quark gluon scattering in QCD and gluino gluon scattering in supersymmetric Yang-Mills theory , JHEP 06
2003
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E. W. N. Glover and M. E. Tejeda-Yeomans, Two loop QCD helicity amplitudes for massless quark massless gauge boson scattering , JHEP 06
2003
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G. F. Sterman and M. E. Tejeda-Yeomans, Multiloop amplitudes and resummation , Phys. Lett. B552
2003
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A. De Freitas and Z. Bern, Two-loop helicity amplitudes for quark-quark scattering in QCD and gluino-gluino scattering in supersymmetric Yang-Mills theory , JHEP 09
2004
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A. De Freitas and Z. Bern, Two-loop helicity amplitudes for fermion-fermion scattering , Nucl. Phys. Proc. Suppl. 135
2004
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2013
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J. M. Henn, Multiloop integrals in dimensional regularization made simple , Phys. Rev. Lett. 110
2013
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A. Broggio, A. Ferroglia, B. D. Pecjak and Z. Zhang, NNLO hard functions in massless QCD , JHEP 12
2014
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E. Panzer, On hyperlogarithms and Feynman integrals with divergences and many scales , JHEP 03
2014
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A. V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction , Comput. Phys. Commun. 189
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W. T. Giele, E. W. N. Glover and D. A. Kosower, The Two-Jet Differential Cross Section at 𝒪 ( α s 3 ) {\cal O}(\alpha_{s}^{3}) in Hadron Collisions , Phys. Rev. Lett. 73
2019
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