A massive Feynman integral and some reduction relations for Appell functions

Details A massive Feynman integral and some reduction relations for Appell functions A massive Feynman integral and some reduction relations for Appell functions

2007-11-17

arxiv.org/abs/0711.2742v1

J.Math.Phys.48:123512,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. To appear in Journal of Mathematical Physics

Scientific paper

10.1063/1.2821256

New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the masses $m_i^2$. Equating our expressions with previously known results in terms of Gauss hypergeometric functions yields reduction relations for the involved Appell functions that are apparently new mathematical results.

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