Differential Reduction Techniques for the Evaluation of Feynman Diagrams

Abstract

Stable reduction methods will be important in the evaluation of high-order perturbative diagrams appearing in QCD and mixed QCD-electroweak radiative corrections at the LHC. Differential reduction techniques are useful for relating hypergeometric functions with shifted values of the parameters. We present a proposition relating the number of master integrals in the expansion of a Feynman diagram to the number of derivatives in a differential reduction.

Comments: 3 pages, presented at 35th International Conference of High Energy Physics - ICHEP2010, July 22-28, 2010, Paris, France