Difference Equations in Massive Higher Order Calculations

Details Difference Equations in Massive Higher Order Calculations Difference Equations in Massive Higher Order Calculations

2007-07-31

arxiv.org/abs/0707.4659v1

PoSACAT2007:082,2007

Physics

Mathematical Physics

15 pages latex, Proceedings ACAT 2007

Scientific paper

The calculation of massive 2--loop operator matrix elements, required for the higher order Wilson coefficients for heavy flavor production in deeply inelastic scattering, leads to new types of multiple infinite sums over harmonic sums and related functions, which depend on the Mellin parameter $N$. We report on the solution of these sums through higher order difference equations using the summation package {\tt Sigma}.

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