A new method for taming tensor sum-integrals

Abstract

We report on the computation of a class of massless bosonic three-loop vacuum sum-integrals which are key building blocks for an evaluation of the Debye screening mass in hot QCD. Generalizing known techniques and introducing the concept of tensor reduction by dimensionality shifts (known to the zero-temperature community since the work of Tarasov in 1996) to finite temperature, we are able to treat hitherto unaccessible cases, which will allow us to finalize the long-term project of NNLO Debye mass evaluation.

26 pages; v2: fixed errors in eq.(B.5) and main result eqs.(5.1)-(5.3)

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Cited by in corpus (8)

• Theoretical uncertainties for cosmological first-order phase transitions
• Perturbative Thermal QCD: Formalism and Applications
• Real scalar phase transitions: a nonperturbative analysis
• Debye screening mass of hot Yang-Mills theory to three-loop order
• Integrating by parts at finite density
• Factorizing two-loop vacuum sum-integrals
• The High-Temperature Expansion of the Thermal Sunset
• Hard thermal contributions to phase transition observables at NNLO