Asymptotic analysis of Feynman diagrams and their maximal cuts

Abstract

The ASPIRE program, which is based on the Landau singularities and the method of power geometry to unveil the regions required for the evaluation of a given Feynman diagram asymptotically in a given limit, also allows for the evaluation of scaling coming from the top facets. In this work, we relate the scaling having equal components of the top facets of the Newton polytope to the maximal cut of given Feynman integrals. We have therefore connected two independent approaches to the analysis of Feynman diagrams.

Comments: 34 pages latex, 7 figures and 2 tables, ancillary Mathematica files provided, substantially extended and improved, added new sections(sub-section-2.5, section-3,4,appendix-B), References added, version accepted for publication in EPJC