The method of arbitrarily large moments to calculate single scale processes in quantum field theory
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 integrationbyparts 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.
 Publication:

Physics Letters B
 Pub Date:
 August 2017
 DOI:
 10.1016/j.physletb.2017.05.001
 arXiv:
 arXiv:1701.04614
 Bibcode:
 2017PhLB..771...31B
 Keywords:

 High Energy Physics  Phenomenology;
 Computer Science  Symbolic Computation;
 High Energy Physics  Lattice;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 4 pages LATEX