Evaluation of a Class of Two-Scale Three-Loop Vacuum Diagrams
Abstract
As a generalization of a previous work [Phys. Rev. D. {\bf 59}, 105014 (1999)], we compute analytically a class of three-loop vacuum diagrams with two {\em arbitrarily} different mass scales. We use a decomposition algorithm in which the integrand of the final integral for the third momentum vector, say, $k$, becomes independent of the angles of $k$-vector in spherical polar coordinates. This algorithm proves to be very efficient in obtaining exclusively all $\e$-pole terms of the given diagram.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2002
- DOI:
- 10.48550/arXiv.hep-ph/0203143
- arXiv:
- arXiv:hep-ph/0203143
- Bibcode:
- 2002hep.ph....3143C
- Keywords:
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- High Energy Physics - Phenomenology
- E-Print:
- 12 pages, no figure