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arxiv: hep-ph/0309080 · v1 · submitted 2003-09-08 · ✦ hep-ph

One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals

classification ✦ hep-ph
keywords feynmanintegralsnegative-dimensionalapproachesmellin-barnesone-loopparametrizationpoint
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We show that at one-loop order, negative-dimensional, Mellin-Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integrals calculations are equivalent. Starting with a generating functional, for two and then for $N$-point scalar integrals we show how to reobtain MB results, using negative-dimensional and FP techniques. The $N-$point result is valid for different masses, arbitrary exponents of propagators and dimension.

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