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One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(\epsilon^2)$

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arxiv 2201.12188 v3 pith:TRFPUYEQ submitted 2022-01-28 hep-ph hep-th

Simon Badger , Matteo Becchetti , Ekta Chaubey , Robin Marzucca , Francesco Sarandrea This is my paper · ORCID
classification hep-phhep-th
keywords amplitudescorrectionsepsilonhelicityintegralone-loopanalyticanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute helicity amplitudes for the one-loop QCD corrections to top-quark pair production analytically in terms of a set of uniformly transcendental master integrals. We provide corrections up to $O(\epsilon^2)$ in the dimensional regulator for the first time which are relevant at NNLO. Four independent pentagon integral topologies appear in the complete description of the colour structure for which we provide numerical solutions using canonical form differential equations and the method of generalised power series expansions. Analytic forms of the boundary values are obtained in all cases except one where we find a one-dimensional integral representation.

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Cited by 3 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. Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dimension-changing transformation computes one-loop and fixed-branch Feynman integrals to high orders in the dimensional regulator by integrating auxiliary-mass integrals over the mass parameter, implemented in an o...

  3. Rational-function interpolation from p-adic evaluations in scattering amplitude calculations

    hep-ph 2024-12 conditional novelty 3.0 of 10

    A p-adic interpolation method reconstructs loop-amplitude rational functions directly in partial-fractioned form, cutting required probes by about 25x and output size by about 134x on a challenging two-loop five-point...

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