On the maximal cut of Feynman integrals and the solution of their differential equations
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Publication:512705
DOI10.1016/J.NUCLPHYSB.2016.12.021zbMATH Open1356.81136arXiv1610.08397OpenAlexW2543134733MaRDI QIDQ512705
Author name not available (Why is that?)
Publication date: 27 February 2017
Published in: (Search for Journal in Brave)
Abstract: The standard procedure for computing scalar multi-loop Feynman integrals consists in reducing them to a basis of so-called master integrals, derive differential equations in the external invariants satisfied by the latter and, finally, try to solve them as a Laurent series in , where are the space-time dimensions. The differential equations are, in general, coupled and can be solved using Euler's variation of constants, provided that a set of homogeneous solutions is known. Given an arbitrary differential equation of order higher than one, there exist no general method for finding its homogeneous solutions. In this paper we show that the maximal cut of the integrals under consideration provides one set of homogeneous solutions, simplifying substantially the solution of the differential equations.
Full work available at URL: https://arxiv.org/abs/1610.08397
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