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Factorizing two-loop vacuum sum-integrals
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DOI：10.1007/JHEP02(2024)104.png)
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Abstract
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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.
Keywords:
Effective Field Theories of QCD
Finite Temperature or Finite Density
Phase Diagram or Equation of State
Thermal Field Theory
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5.5
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4.0W
Citations:
13.7W
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