Application and explicit solution of recurrence relations with respect to space-time dimension
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
A short review of the method for the tensor reduction of Feynman integrals based on recurrence relations with respect to space-time dimension d- is given. A solution of the difference equation with respect to d for the n - point one-loop integrals with arbitrary momenta and masses is presented. The result is written as multiple hypergeometric series depending on ratios of Gram determinants. For the 3-point function a new expression in terms of the Appell hypergeometric function F_1 is presented.
Cite
@article{arxiv.hep-ph/0102271,
title = {Application and explicit solution of recurrence relations with respect to space-time dimension},
author = {O. V. Tarasov},
journal= {arXiv preprint arXiv:hep-ph/0102271},
year = {2009}
}
Comments
9 pages, 1 figure, LaTeX