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Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$

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arxiv 2210.17477 v3 pith:HSQIDYXN submitted 2022-10-31 hep-ph hep-th

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

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We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of differential equations for all the master integrals in a canonical form where the analytic form is reconstructed from numerical evaluations over finite fields. We find that the system can be represented as a sum of d-logarithmic forms using an alphabet of 71 letters. Using high precision boundary values obtained via the auxiliary mass flow method, a numerical solution to the master integrals is provided using generalised power series expansions.

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Cited by 6 Pith papers

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

  1. Planar Six-Point Feynman Integrals for Four-Dimensional Gauge Theories

    hep-ph 2024-12 accept novelty 8.0 of 10

    All planar two-loop six-point master integrals for four-dimensional gauge theories are computed, and nine-propagator topologies are shown to decouple in the four-dimensional limit.

  2. 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.

  3. 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.

  4. Top-Yukawa contributions to $pp\to b\bar{b}H$: two-loop leading-colour amplitudes

    hep-ph 2026-03 accept novelty 7.0 of 10

    First analytic two-loop leading-colour amplitudes for top-Yukawa-induced b bbar H production in the heavy-top limit, with Mathematica and C++ code.

  5. Two-loop Feynman integrals for leading colour $t\bar{t}W$ production at hadron colliders

    hep-ph 2025-04 conditional novelty 7.0 of 10

    A complete set of two-loop master integrals for leading-colour ttW production is reduced to differential equations that are at most quadratic in the dimensional regulator and evaluated numerically in the physical region.

  6. The structure of quark mass corrections in the $gg \rightarrow HH$ amplitude at high-energy

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The leading-power mass logarithms in high-energy gg to HH are shown to originate solely from top-quark mass renormalization, enabling a resummation that sharply reduces the mass-scheme uncertainty of the virtual amplitude.

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