English

A Feynman integral depending on two elliptic curves

High Energy Physics - Theory 2022-08-10 v2 High Energy Physics - Phenomenology

Abstract

We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε\varepsilon-form. We study the entries of the differential equation, and in particular the entries which depend on both elliptic curves.

Keywords

Cite

@article{arxiv.2205.04818,
  title  = {A Feynman integral depending on two elliptic curves},
  author = {Hildegard Müller and Stefan Weinzierl},
  journal= {arXiv preprint arXiv:2205.04818},
  year   = {2022}
}

Comments

41 pages, v2: version to be published

R2 v1 2026-06-24T11:12:58.709Z