Differential Reduction Techniques for the Evaluation of Feynman Diagrams
Abstract
Stable reduction methods will be important in the evaluation of highorder perturbative diagrams appearing in QCD and mixed QCDelectroweak 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2011
 DOI:
 10.48550/arXiv.1101.2348
 arXiv:
 arXiv:1101.2348
 Bibcode:
 2011arXiv1101.2348Y
 Keywords:

 Mathematical Physics;
 High Energy Physics  Phenomenology;
 High Energy Physics  Theory
 EPrint:
 3 pages, presented at 35th International Conference of High Energy Physics  ICHEP2010, July 2228, 2010, Paris, France