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Massive two-loop four-point Feynman integrals at high energies with AsyInt

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arxiv 2407.12107 v2 pith:ZW32MIFH submitted 2024-07-16 hep-ph hep-th

classification hep-phhep-th
keywords feynmanintegralsanalyticasyintmassiveresultstwo-loopenergies
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present analytic techniques for parametric integrations of massive two-loop four-point Feynman integrals at high energies, and their implementation in the toolbox AsyInt. In the high-energy region, the Feynman integrals involving external and internal massive particles, such as the top quark, Higgs and vector bosons, can be asymptotically expanded and directly calculated in the small-mass limit. With this approach, analytic results for higher-order terms in the expansion parameter and the dimensional regulator can be obtained with AsyInt. These results are important ingredients for the two-loop electroweak and QCD corrections for $2 \to 2$ scattering processes in the large transverse momenta region, which is relevant to both precision collider phenomenology and new physics searches at current and future high-energy colliders. In this paper, analytic results of representative planar and non-planar Feynman integrals are presented.

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Cited by 2 Pith papers

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

  1. A new approach to quark mass determination using the gradient flow

    hep-lat 2025-06 conditional novelty 7.0 of 10

    The MS quark mass can be extracted by matching lattice data to ratios of flowed quark bilinear VEVs, and this paper provides the required next-to-leading-order expressions with full mass dependence.

  2. Feynman Integrals Meet Second-Order Partial Differential Equations

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Feynman integrals can be solved globally over phase space by rewriting them as second-order PDE equilibrium problems and discretizing with finite elements.

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