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Difference Equations in Massive Higher Order Calculations

Mathematical Physics 2008-12-18 v1 Mathematical Software High Energy Physics - Phenomenology math.MP
Authors: I. Bierenbaum , J. Blümlein , S. Klein , C. Schneider
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Abstract

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 NN. We report on the solution of these sums through higher order difference equations using the summation package {\tt Sigma}.

Keywords

loop integrals in quantum field theory special functions deep-inelastic scattering

Cite

@article{arxiv.0707.4659,
  title  = {Difference Equations in Massive Higher Order Calculations},
  author = {I. Bierenbaum and J. Blümlein and S. Klein and C. Schneider},
  journal= {arXiv preprint arXiv:0707.4659},
  year   = {2008}
}

Comments

15 pages latex, Proceedings ACAT 2007

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