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.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2011
- DOI:
- 10.48550/arXiv.1101.2348
- arXiv:
- arXiv:1101.2348
- Bibcode:
- 2011arXiv1101.2348Y
- Keywords:
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- Mathematical Physics;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 3 pages, presented at 35th International Conference of High Energy Physics - ICHEP2010, July 22-28, 2010, Paris, France