Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass
High Energy Physics - Phenomenology
2009-10-28 v1
Abstract
Recurrence relations derived via the Chetyrkin--Tkachov method of integration by parts are applied to reduce scalar three-loop bubble (vacuum) diagrams with a mass to a limited number of master integrals. The reduction is implemented as a package of computer programs for analytic evaluation in FORM. The algorithms are applicable to diagrams with any integer powers on the lines in an arbitrary dimension. A physical application is the evaluation of the three-loop QCD correction to the electroweak rho parameter.
Cite
@article{arxiv.hep-ph/9512442,
title = {Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass},
author = {Leo. V. Avdeev},
journal= {arXiv preprint arXiv:hep-ph/9512442},
year = {2009}
}
Comments
9 pages in LaTeX