Analytic continuation of the kite family
High Energy Physics - Theory
2018-07-10 v1 High Energy Physics - Phenomenology
Abstract
We consider results for the master integrals of the kite family, given in terms of ELi-functions which are power series in the nome of an elliptic curve. The analytic continuation of these results beyond the Euclidean region is reduced to the analytic continuation of the two period integrals which define We discuss the solution to the latter problem from the perspective of the Picard-Lefschetz formula.
Keywords
Cite
@article{arxiv.1807.02542,
title = {Analytic continuation of the kite family},
author = {Christian Bogner and Armin Schweitzer and Stefan Weinzierl},
journal= {arXiv preprint arXiv:1807.02542},
year = {2018}
}
Comments
talk at the KMPB conference "Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory", 23-26 October 2017, at DESY Zeuthen