Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph

DOI10.1016/J.NUCLPHYSB.2017.05.018zbMATH Open1370.81073arXiv1704.05465OpenAlexW2606373842MaRDI QIDQ2403495

Author name not available (Why is that?)

Publication date: 8 September 2017

Published in: (Search for Journal in Brave)

Abstract: We consider the calculation of the master integrals of the three-loop massive banana graph. In the case of equal internal masses, the graph is reduced to three master integrals which satisfy an irreducible system of three coupled linear differential equations. The solution of the system requires finding a $3imes3$ matrix of homogeneous solutions. We show how the maximal cut can be used to determine all entries of this matrix in terms of products of elliptic integrals of first and second kind of suitable arguments. All independent solutions are found by performing the integration which defines the maximal cut on different contours. Once the homogeneous solution is known, the inhomogeneous solution can be obtained by use of Euler's variation of constants.

Full work available at URL: https://arxiv.org/abs/1704.05465

Mathematics Subject Classification ID

No records found.

This page was built for publication: Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2403495)