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A new method for taming tensor sum-integrals

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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.

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Authors and Affiliations

  1. Faculty of Physics, University of Bielefeld, PO Box 100131, 33501, Bielefeld, Germany

    Ioan Ghisoiu & York Schröder

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  1. Ioan Ghisoiu
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  2. York Schröder
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Correspondence to York Schröder.

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ArXiv ePrint: 1208.0284

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Ghisoiu, I., Schröder, Y. A new method for taming tensor sum-integrals. J. High Energ. Phys. 2012, 10 (2012). https://doi.org/10.1007/JHEP11(2012)010

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