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Two-loop leading colour QCD helicity amplitudes for top quark pair production in the gluon fusion channel

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arxiv 2102.13450 v2 pith:42OUL7I4 submitted 2021-02-26 hep-ph hep-th

Simon Badger , Ekta Chaubey , Heribertus Bayu Hartanto , Robin Marzucca This is my paper · ORCID
classification hep-phhep-th
keywords integralsamplitudesanalyticfinitefusiongluonhelicityiterated
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves. We present the results of the missing master integrals needed to compute the amplitude and obtain an analytic form for the finite remainders in terms of iterated integrals using rationalised kinematics and finite field sampling. We also study the numerical evaluation of the iterated integrals.

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Cited by 1 Pith paper

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  1. Two-loop helicity amplitudes for diphoton production with massive quark loop

    hep-ph 2025-02 conditional novelty 7.0 of 10

    Two-loop helicity amplitudes for diphoton production with a massive top quark loop are computed, providing new analytic results for gluon fusion and benchmark numbers for both channels.

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