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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Numerical evaluation of two-loop QCD helicity amplitudes for $gg\to t \bar{t} g$ at leading colour

    hep-ph 2024-12 conditional novelty 8.0 of 10

    The two-loop finite remainders for gg to ttbar g at leading colour are evaluated numerically at one benchmark point, with elliptic functions confined to the finite part.

  2. Full-colour double-virtual amplitudes for associated production of a Higgs boson with a bottom-quark pair at the LHC

    hep-ph 2024-12 accept novelty 8.0 of 10

    First analytic full-color two-loop five-particle amplitudes for associated Higgs-plus-bottom-quark-pair production at the LHC, with public C++ implementation.

  3. 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.

  4. Electroweak double-box integrals for Moller scattering

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Presents epsilon-factorised master integrals, boundary values, and numerical routines for the planar and non-planar electroweak double-box families relevant to NNLO Moller scattering.

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