Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

Ettore Remiddi, Lorenzo Tancredi

Research output: Contribution to journalArticlepeer-review

106 Scopus citations

Abstract

It is shown that the study of the imaginary part and of the corresponding dispersion relations of Feynman graph amplitudes within the differential equations method can provide a powerful tool for the solution of the equations, especially in the massive case.The main features of the approach are illustrated by discussing the simple cases of the 1-loop self-mass and of a particular vertex amplitude, and then used for the evaluation of the two-loop massive sunrise and the QED kite graph (the problem studied by Sabry in 1962), up to first order in the (d- 4) expansion.

Original languageEnglish
Pages (from-to)400-444
Number of pages45
JournalNuclear Physics, Section B
Volume907
DOIs
StatePublished - 1 Jun 2016
Externally publishedYes

Fingerprint

Dive into the research topics of 'Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral'. Together they form a unique fingerprint.

Cite this