Calculation of master integrals by difference equations

Details Calculation of master integrals by difference equations Calculation of master integrals by difference equations

2001-02-03

arxiv.org/abs/hep-ph/0102032v1

Phys.Lett. B504 (2001) 188-194

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 1 figure, LaTex, to be published in Physics Letters B

Scientific paper

10.1016/S0370-2693(01)00256-8

In this paper we describe a new method of calculation of master integrals based on the solution of systems of difference equations in one variable. An explicit example is given, and the generalization to arbitrary diagrams is described. As example of application of the method, we have calculated the values of master integrals for single-scale massive three-loop vacuum diagrams, three-loop self-energy diagrams, two-loop vertex diagrams and two-loop box diagrams.

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