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Triangle diagram, Distance Geometry and Symmetries of Feynman Integrals
- Publication Year :
- 2019
-
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.<br />Comment: 29 pages, JHEP published version
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1909.04055
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP03(2020)156