Calculation of a Class of Three-Loop Vacuum Diagrams with Two Different Mass Values
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. 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)].
Keywords
Cite
@article{arxiv.hep-ph/9805432,
title = {Calculation of a Class of Three-Loop Vacuum Diagrams with Two Different Mass Values},
author = {J. -M. Chung and B. K. Chung},
journal= {arXiv preprint arXiv:hep-ph/9805432},
year = {2009}
}
Comments
RevTex, 15 pages, 4 postscript figures, minor corrections in K(c), Appendix B removed, typos corrected, acknowledgements changed