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 |
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Article number | 156 |
Journal | Journal of High Energy Physics |
Volume | 2020 |
Issue number | 3 |
DOIs | |
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