Triangle diagram, distance geometry and Symmetries of Feynman Integrals

Barak Kol; Subhajit Mazumdar

doi:10.1007/JHEP03(2020)156

Triangle diagram, distance geometry and Symmetries of Feynman Integrals

Barak Kol, Subhajit Mazumdar^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-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 language	American English
Article number	156
Journal	Journal of High Energy Physics
Volume	2020
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2020)156
State	Published - 1 Mar 2020

Bibliographical note

Funding Information:
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited

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

Keywords

Differential and Algebraic Geometry
Scattering Amplitudes

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10.1007/JHEP03(2020)156

Cite this

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Triangle diagram, distance geometry and Symmetries of Feynman Integrals

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