Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference48 articles.
1. A.I. Davydychev and R. Delbourgo, A Geometrical angle on Feynman integrals, J. Math. Phys. 39 (1998) 4299 [hep-th/9709216] [INSPIRE].
2. B. Kol, Symmetries of Feynman integrals and the Integration By Parts method, arXiv:1507.01359 [INSPIRE].
3. K.G. Chetyrkin and F.V. Tkachov, Integration by Parts: The Algorithm to Calculate β-functions in 4 Loops, Nucl. Phys. B 192 (1981) 159 [INSPIRE].
4. A.V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation, Phys. Lett. B 254 (1991) 158 [INSPIRE].
5. E. Remiddi, Differential equations for Feynman graph amplitudes, Nuovo Cim. A 110 (1997) 1435 [hep-th/9711188] [INSPIRE].
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