Symbolic Summation and Higher Orders in Perturbation Theory

Details Symbolic Summation and Higher Orders in Perturbation Theory Symbolic Summation and Higher Orders in Perturbation Theory

2005-09-26

arxiv.org/abs/math-ph/0509058v1

Nucl.Instrum.Meth.A559:285-288,2006

Physics

Mathematical Physics

5 pages, 2 figures, latex

Scientific paper

10.1016/j.nima.2005.11.172

Higher orders in perturbation theory require the calculation of Feynman integrals at multiple loops. We report on an approach to systematically solve Feynman integrals by means of symbolic summation and discuss the underlying algorithms. Examples such as the non-planar vertex at two loops, or integrals from the recent calculation of the three-loop QCD corrections to structure functions in deep-inelastic scattering are given.

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