The propagator seagull: general evaluation of a two loop diagram
High Energy Physics - Theory
2019-05-21 v3 High Energy Physics - Phenomenology
Abstract
We study a two loop diagram of propagator type with general parameters through the Symmetries of Feynman Integrals (SFI) method. We present the SFI group and equation system, the group invariant in parameter space and a general representation as a line integral over simpler diagrams. We present close form expressions for three sectors, each with three or four energy scales, for any spacetime dimension as well as the expansion. We determine the singular locus and the diagram's value on it.
Keywords
Cite
@article{arxiv.1809.05040,
title = {The propagator seagull: general evaluation of a two loop diagram},
author = {Barak Kol and Ruth Shir},
journal= {arXiv preprint arXiv:1809.05040},
year = {2019}
}
Comments
33 pages. v3: The published version - includes the $\epsilon$ expansion for the four energy scales sector