Triangle diagram, distance geometry and Symmetries of Feynman Integrals

Barak Kol, Subhajit Mazumdar*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageAmerican English
Article number156
JournalJournal of High Energy Physics
Volume2020
Issue number3
DOIs
StatePublished - 1 Mar 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Keywords

  • Differential and Algebraic Geometry
  • Scattering Amplitudes

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