
B.Ananthanarayan, Johan Bijnens, Shayan Ghosh and Aditya Hebbar
An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory: Theoryand Practice
Abstract
We demonstrate the use of several code implementations of the MellinBarnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the twoloop contribution to the pion mass and decay constant in threeflavoured chiral perturbation theory. We also provide results for all possible twomass configurations of the sunset integral, and derive a new onedimensional integral representation for the one mass sunset integral with arbitrary external momentum. Thoroughly annotated Mathematica notebooks are provided as ancillary files, which may serve as pedagogical supplements to the methods described in this paper.
LU TP 1643
