Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams

Details Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams

2010-06-24

arxiv.org/abs/1006.4797v1

Nucl.Phys.Proc.Suppl.205-206:110-115,2010

Physics

Mathematical Physics

6 pages 2 figures

Scientific paper

10.1016/j.nuclphysbps.2010.08.02

By symbolic summation methods based on difference fields we present a general
strategy that transforms definite multi-sums, e.g., in terms of hypergeometric
terms and harmonic sums, to indefinite nested sums and products. We succeeded
in this task with all our concrete calculations of 2--loop and 3--loop massive
single scale Feynman diagrams with local operator insertion.

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