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

J. -M. Chung·B. K. Chung
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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 Münz in the dimensional regularization scheme. All pole terms in ε=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. It is shown that three-loop effective potential calculated using three-loop integrals obtained in this paper agrees, in the large-N limit, with the overlap part of leading-order (in the large-N limit) calculation of Coleman, Jackiw, and Politzer [Phys. Rev. D {\bf 10}, 2491 (1974)].

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J. -M. Chung, B. K. Chung. 1999-04-23. Calculation of a Class of Three-Loop Vacuum Diagrams with Two Different Mass Values. https://doi.org/10.1103/physrevd.59.105014

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