Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

DOI10.1016/J.NUCLPHYSB.2015.10.015zbMATH Open1332.81065arXiv1509.03330OpenAlexW2097150144MaRDI QIDQ252995

Author name not available (Why is that?)

Publication date: 7 March 2016

Published in: (Search for Journal in Brave)

Abstract: Integration by parts identities (IBPs) can be used to express large numbers of apparently different d-dimensional Feynman Integrals in terms of a small subset of so-called master integrals (MIs). Using the IBPs one can moreover show that the MIs fulfil linear systems of coupled differential equations in the external invariants. With the increase in number of loops and external legs, one is left in general with an increasing number of MIs and consequently also with an increasing number of coupled differential equations, which can turn out to be very difficult to solve. In this paper we show how studying the IBPs in fixed integer numbers of dimension d=n with $ninmathbbN$ one can extract the information useful to determine a new basis of MIs, whose differential equations decouple as $don$ and can therefore be more easily solved as Laurent expansion in (d-n).

Full work available at URL: https://arxiv.org/abs/1509.03330

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q252995)