The method of arbitrarily large moments to calculate single scale processes in quantum field theory

Blümlein, Johannes (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, Zeuthen, D-15738, Germany) ; Schneider, Carsten (Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Altenbergerstraße 69, Linz, A-4040, Austria)

05 May 2017

Abstract: We devise a new method to calculate a large number of Mellin moments of single scale quantities using the systems of differential and/or difference equations obtained by integration-by-parts identities between the corresponding Feynman integrals of loop corrections to physical quantities. These scalar quantities have a much simpler mathematical structure than the complete quantity. A sufficiently large set of moments may even allow the analytic reconstruction of the whole quantity considered, holding in case of first order factorizing systems. In any case, one may derive highly precise numerical representations in general using this method, which is otherwise completely analytic.

Published in: Physics letters B (2017)
Published by: Elsevier
DOI: 10.1016/j.physletb.2017.05.001
License: CC-BY-3.0

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