2016/03/16 by Domenico Bonocore, Eric Laenen, Robbert Rietkerk · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Distribution (mathematics) #Mathematical functions and polynomials #Mellin transform #Moment (physics) #Order (exchange) #Particle physics theoretical and experimental studies #Production (economics) #Reciprocal #Scattering #Unitarity #hep-ph
paper · pdf · doi:10.1007/jhep05(2016)079
37 pages with 13 figures
arxiv created 2016/03/16 · openalex publication_date 2016/05/01 · arxiv updated 2016/06/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We develop a method for computing Mellin moments of single inclusive cross sections such as Drell-Yan production directly from forward scattering diagrams, by invoking unitarity in the form of cutting equations. We provide a diagram-independent prescription for eliminating contributions from unwanted cuts at the level of an expansion in the reciprocal ω = 1/z variable. The modified sum over powers of ω produces the result from physical cuts only, with the nth coefficient precisely equal to the nth Mellin moment of the cross section. We demonstrate and validate our method for representative one- and two-loop diagrams.