Efficient Evaluation of Massive Mellin--Barnes Integrals
High Energy Physics - Phenomenology
2017-05-03 v1
Abstract
We show how to evaluate one-dimensional Minkowski-region Mellin-Barnes representations arising from massive loop integrals, by modifying the contours of integration. We implement an exact solution to the differential equation determining the contours of stationary phase. We also present several simple approximations to these contours. Our approach points the way to more efficient computations of massless and massive Mellin-Barnes integrals in both Euclidean and Minkowski regions.
Cite
@article{arxiv.1609.09111,
title = {Efficient Evaluation of Massive Mellin--Barnes Integrals},
author = {Janusz Gluza and Tomasz Jelinski and David A. Kosower},
journal= {arXiv preprint arXiv:1609.09111},
year = {2017}
}
Comments
53 pages, 32 figures