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arXiv · 1207.5666

A fresh look on three-loop sum-integrals

Y. Schroder
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Abstract

In order to prepare the ground for evaluating classes of three-loop sum-integrals that are presently needed for thermodynamic observables, we take a fresh and systematic look on the few known cases, and review their evaluation in a unified way using coherent notation. We do this for three important cases of massless bosonic three-loop vacuum sum-integrals that have been frequently used in the literature, and aim for a streamlined exposition as compared to the original evaluations. In passing, we speculate on options for generalization of the computational techniques that have been employed.

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Y. Schroder. 2012-07-24. A fresh look on three-loop sum-integrals. https://doi.org/10.1007/jhep08(2012)095

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