Decomposition of Feynman integrals on the maximal cut by intersection numbers
From MaRDI portal
Publication:2315765
DOI10.1007/JHEP05(2019)153zbMATH Open1416.81198arXiv1901.11510OpenAlexW3100520927WikidataQ127858567 ScholiaQ127858567MaRDI QIDQ2315765
Author name not available (Why is that?)
Publication date: 25 July 2019
Published in: (Search for Journal in Brave)
Abstract: We elaborate on the recent idea of a direct decomposition of Feynman integrals onto a basis of master integrals on maximal cuts using intersection numbers. We begin by showing an application of the method to the derivation of contiguity relations for special functions, such as the Euler beta function, the Gauss hypergeometric function, and the Appell function. Then, we apply the new method to decompose Feynman integrals whose maximal cuts admit 1-form integral representations, including examples that have from two to an arbitrary number of loops, and/or from zero to an arbitrary number of legs. Direct constructions of differential equations and dimensional recurrence relations for Feynman integrals are also discussed. We present two novel approaches to decomposition-by-intersections in cases where the maximal cuts admit a 2-form integral representation, with a view towards the extension of the formalism to -form representations. The decomposition formulae computed through the use of intersection numbers are directly verified to agree with the ones obtained using integration-by-parts identities.
Full work available at URL: https://arxiv.org/abs/1901.11510
No records found.
No records found.
This page was built for publication: Decomposition of Feynman integrals on the maximal cut by intersection numbers
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2315765)
