A New Method for Taming Tensor Sum-Integrals

Aug, 2012
26 pages
Published in:
  • JHEP 11 (2012) 010
e-Print:
Report number:
  • BI-TP-2012-32

Citations per year

2012201520182021202401234
Abstract: (arXiv)
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.
Note:
  • 26 pages
  • boson: massless
  • mass: screening: Debye
  • quantum chromodynamics
  • finite temperature
  • numerical methods
  • zero mode
  • loop integral
  • tensor
  • mathematical methods