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

We show that at one-loop order, negative-dimensional, Mellin–Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integral 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.