Evaluation of a Class of Two-Scale Three-Loop Vacuum Diagrams

Details Evaluation of a Class of Two-Scale Three-Loop Vacuum Diagrams Evaluation of a Class of Two-Scale Three-Loop Vacuum Diagrams

2002-03-15

arxiv.org/abs/hep-ph/0203143v1

J.KoreanPhys.Soc.40:435-442,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, no figure

Scientific paper

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.

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