Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass

Details Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass Recurrence Relations for Three-Loop Prototypes of Bubble Diagrams with a Mass

1995-12-29

arxiv.org/abs/hep-ph/9512442v1

Comput.Phys.Commun. 98 (1996) 15-19

Physics

High Energy Physics

High Energy Physics - Phenomenology

9 pages in LaTeX

Scientific paper

10.1016/0010-4655(96)00090-2

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.

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