Factorizing two-loop vacuum sum-integrals
arXiv:2312.17367 · doi:10.1007/JHEP02(2024)104
Abstract
We derive analytic results for scalar massless bosonic vacuum sum-integrals at two loops. Building upon a recent factorization proof of massive two-loop vacuum integrals, we are able to solve the corresponding Matsubara sums and map the result onto one-loop structures, thereby proving factorization also in the sum-integral setting. Analytic results are provided for generic integer-valued propagator- and numerator-powers of the class of sum-integrals under consideration, allowing to eliminate them from any perturbative expansion, dramatically simplifying the evaluation of some observables encountered e.g. in hot QCD.
arXiv comment20 pages, 2 figures; v2: fixed a sign in code of appendix B
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