The propagator seagull: general evaluation of a two loop diagram

DOI10.1007/JHEP03(2019)083zbMATH Open1414.81252arXiv1809.05040MaRDI QIDQ2421091

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Publication date: 8 June 2019

Published in: (Search for Journal in Brave)

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 $d$ as well as the $epsilon$ expansion. We determine the singular locus and the diagram's value on it.

Full work available at URL: https://arxiv.org/abs/1809.05040

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