Triangle diagram, distance geometry and symmetries of Feynman integrals
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Publication:2191733
DOI10.1007/JHEP03(2020)156zbMATH Open1435.81139arXiv1909.04055OpenAlexW3103180057MaRDI QIDQ2191733
Author name not available (Why is that?)
Publication date: 25 June 2020
Published in: (Search for Journal in Brave)
Abstract: We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis. The system is solved providing a novel derivation of an essentially known expression. We stress a description of the underlying geometry in terms of the Distance Geometry of a tetrahedron discussed by Davydychev-Delbourgo [1], a tetrahedron which is the dual on-shell diagram. In addition, the singular locus is identified and the diagram's value on the locus's two components is expressed as a linear combination of descendant bubble diagrams. The massless triangle and the associated magic connection are revisited.
Full work available at URL: https://arxiv.org/abs/1909.04055
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