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

TL;DR

This paper introduces analytic techniques and a computational toolbox, AsyInt, for calculating high-energy massive two-loop four-point Feynman integrals, crucial for precision collider physics and new physics searches.

Contribution

The paper develops and implements new analytic methods for parametric integration of two-loop Feynman integrals involving masses, with results applicable to high-energy scattering processes.

Findings

Analytic results for representative integrals are obtained.

AsyInt effectively computes higher-order terms in small-mass expansions.

The methods facilitate precise two-loop corrections in collider phenomenology.

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.