PUB - Publikationen an der Universität Bielefeld

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