A fresh look on three-loop sum-integrals
arXiv:1207.5666 · doi:10.1007/JHEP08(2012)095
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.
19 pages
References in corpus (8)
- Feynman Diagrams and Differential Equations
- Sector Decomposition
- The leading non-perturbative coefficient in the weak-coupling expansion of hot QCD pressure
- Four-loop pressure of massless O(N) scalar field theory
- Three-loop matching coefficients for hot QCD: Reduction and gauge independence
- Open problems in hot QCD
- Loops for Hot QCD
- Weak-coupling expansion of the hot QCD pressure
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