Calculation of a Class of Three-Loop Vacuum Diagrams with Two Different Mass Values

Preprint

1 July 1998

preprint
Published by arXiv in arXiv

Abstract

We calculate analytically a class of three-loop vacuum diagrams with two different mass values, one of which is one-third as large as the other, using the method of Chetyrkin, Misiak, and M\"{u}nz in the dimensional regularization scheme. All pole terms in \epsilon=4-D (D being the space-time dimensions in a dimensional regularization scheme) plus finite terms containing the logarithm of mass are kept in our calculation of each diagram.

Keywords

DIMENSIONAL REGULARIZATION SCHEME
REGULARIZATION SCHEME
LOOP VACUUM DIAGRAMS
DIAGRAMS WITH TWO
VACUUM DIAGRAMS
DIFFERENT MASS
MASS VALUES

All Related Versions

Version 1, 1998-05-23, ArXiv
Version 2, 1998-07-01, ArXiv
Version 3, 1998-11-06, ArXiv
Version 4, 1999-04-23, ArXiv
Published version: Physical Review D, 59 (10), 105014.

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