Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums
High Energy Physics - Phenomenology
2014-07-30 v1
Abstract
The construction of Mellin-Barnes (MB) representations for non-planar Feynman diagrams and the summation of multiple series derived from general MB representations are discussed. A basic version of a new package AMBREv.3.0 is supplemented. The ultimate goal of this project is the automatic evaluation of MB representations for multiloop scalar and tensor Feynman integrals through infinite sums, preferably with analytic solutions. We shortly describe a strategy of further algebraic summation.
Keywords
Cite
@article{arxiv.1407.7832,
title = {Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums},
author = {Johannes Blümlein and Ievgen Dubovyk and Janusz Gluza and Michał Ochman and Clemens G. Raab and Tord Riemann and Carsten Schneider},
journal= {arXiv preprint arXiv:1407.7832},
year = {2014}
}
Comments
Contribution to the proceedings of the Loops and Legs 2014 conference