Multidimensional Residues for Feynman Integrals with Generic Power of Propagators

2011/12/18 by Jian-Hui Zhang, Zhang, Jian-Hui
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1112.4136

4 pages

arxiv created 2011/12/18 · arxiv updated 2011/12/20

Abstract

We propose that the concept of multidimensional residues can be used to directly extracting the coefficients of scalar master integrals (with single propagators only) from one-loop Feynman integrals with generic power of propagators. Unlike the usual integration-by-parts (IBP) technique, where one has to solve iteratively a complicated set of equations to carry out the reduction and determine the coefficients of scalar master integrals, using multidimensional residues provides the possibility of directly extracting the coefficients of the master integrals. As the first application of this idea, we show how to directly extract the scalar box integral coefficients.

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