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Two-loop non-planar hexa-box integrals with one massive leg

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arxiv 2201.07509 v2 pith:KXIEDHLK submitted 2022-01-19 hep-ph hep-th

Adam Kardos , Costas G. Papadopoulos , Alexander V. Smirnov , Nikolaos Syrrakos , Christopher Wever This is my paper · ORCID
classification hep-phhep-th
keywords integralsapproachhexa-boxmasternon-planarresultstermstwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain the boundary terms and establish a one-dimensional integral representation of the master integrals in terms of Generalised Polylogarithms, when the alphabet contains non-factorisable square roots. The results are relevant to the study of NNLO QCD corrections for $W,Z$ and Higgs-boson production in association with two hadronic jets.

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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. Complete function space for planar two-loop six-particle scattering amplitudes

    hep-ph 2025-01 conditional novelty 8.0 of 10

    Planar two-loop six-particle massless master integrals are solved analytically up to weight four as Chen iterated integrals, with a complete 245-letter alphabet and a validated numerical implementation.

  2. 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.

  3. 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.

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