6533b822fe1ef96bd127d9b2

RESEARCH PRODUCT

The sunrise integral and elliptic polylogarithms

Luise AdamsChristian BognerStefan Weinzierl

subject

High Energy Physics - TheoryClass (set theory)Pure mathematicsDifferential formDifferential equationComputationFOS: Physical sciencesOrder (ring theory)Feynman graphHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Iterated integralsSunriseMathematics

description

We summarize recent computations with a class of elliptic generalizations of polylogarithms, arising from the massive sunrise integral. For the case of arbitrary masses we obtain results in two and four space-time dimensions. The iterated integral structure of our functions allows us to furthermore compute the equal mass case to arbitrary order.

https://doi.org/10.22323/1.260.0033