Application and explicit solution of recurrence relations with respect to space-time dimension

Details Application and explicit solution of recurrence relations with respect to space-time dimension Application and explicit solution of recurrence relations with respect to space-time dimension

2001-02-21

arxiv.org/abs/hep-ph/0102271v1

Nucl.Phys.Proc.Suppl. 89 (2000) 237-245

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages, 1 figure, LaTeX

Scientific paper

10.1016/S0920-5632(00)00849-5

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.

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