Cuts and coproducts of massive triangle diagrams - Archive ouverte HAL Access content directly
Journal Articles Journal of High Energy Physics Year : 2015

Cuts and coproducts of massive triangle diagrams

(1, 2) , (2, 3) , (2)
1
2
3

Abstract

Relations between multiple unitarity cuts and coproducts of Feynman integrals are extended to allow for internal masses. These masses introduce new branch cuts, whose discontinuities can be derived by placing single propagators on shell and identified as particular entries of the coproduct. First entries of the coproduct are then seen to include mass invariants alone, as well as threshold corrections for external momentum channels. As in the massless case, the original integral can possibly be recovered from its cuts by starting with the known part of the coproduct and imposing integrability contraints. We formulate precise rules for cuts of diagrams, and we gather evidence for the relations to coproducts through a detailed study of one-loop triangle integrals with various combinations of external and internal masses.
Fichier principal
Vignette du fichier
abre1.pdf (994.07 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

cea-01201809 , version 1 (06-10-2022)

Licence

Attribution - CC BY 4.0

Identifiers

Cite

Samuel Abreu, Ruth Britto, Hanna Grönqvist. Cuts and coproducts of massive triangle diagrams. Journal of High Energy Physics, 2015, 2015 (7), pp.111. ⟨10.1007/JHEP07(2015)111⟩. ⟨cea-01201809⟩
111 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More