Sunrise integral in non-relativistic QCD with elliptics
A.V. Kotikov
TL;DR
This paper details the derivation of a two-loop sunrise integral in non-relativistic QCD expressed through elliptic polylogarithms, advancing the analytical understanding of complex Feynman integrals.
Contribution
It presents a novel method to represent the two-loop sunrise integral with different masses using elliptic polylogarithms for all orders of the dimensional regulator.
Findings
Explicit elliptic polylogarithm representation of the sunrise integral
Applicable to all orders of the dimensional regulator
Enhances analytical techniques for complex Feynman integrals
Abstract
The main steps of the process of obtaining the result [1] in terms of elliptic polylogarithms for a two-loop sunrise integral with two different internal masses with pseudothreshold kinematics for all orders of the dimensional regulator are shown.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · Black Holes and Theoretical Physics