6533b85ffe1ef96bd12c2407

RESEARCH PRODUCT

The Elliptic Sunrise

Christian BognerStefan WeinzierlLuise Adams

subject

Feynman integralSpecial functionsComputationSunrisePoint (geometry)Field theory (psychology)Loop integralMathematical physicsMathematics

description

In this talk, we discuss our recent computation of the two-loop sunrise integral with arbitrary non-zero particle masses in the vicinity of the equal mass point. In two space-time dimensions, we arrive at a result in terms of elliptic dilogarithms. Near four space-time dimensions, we obtain a result which furthermore involves elliptic generalizations of Clausen and Glaisher functions.

https://doi.org/10.1007/978-3-030-37031-2_6