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

J. -M. Chung·B. K. Chung
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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.

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J. -M. Chung, B. K. Chung. 2002-03-15. Evaluation of a Class of Two-Scale Three-Loop Vacuum Diagrams. https://arxiv.org/abs/hep-ph/0203143

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