Three-loop matching coefficients for hot QCD: Reduction and gauge independence - INSPIRE

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Three-loop matching coefficients for hot QCD: Reduction and gauge independence

J. Moller
(
- Bielefeld U.
)
,
Y. Schroder
(
- Bielefeld U.
)

Jul, 2012

18 pages

Published in:

JHEP 08 (2012) 025

e-Print:

1207.1309 [hep-ph]

DOI:

10.1007/JHEP08(2012)025

Report number:

BI-TP-2012-25

View in:

ADS Abstract Service

reference search19 citations

Citations per year

Abstract: (arXiv)

We perform an integral reduction for the 3-loop effective gauge coupling and screening mass of QCD at high temperatures, defined as matching coefficients appearing in the dimensionally reduced effective field theory (EQCD). Expressing both parameters in terms of a set master (sum-) integrals, we show explicit gauge parameter independence. The lack of suitable methods for solving the comparatively large number of master integrals forbids the complete evaluation at the moment. Taking one generic class of masters as an example, we highlight the calculational techniques involved. The full result would allow to improve on one of the classic probes for the convergence of the weak-coupling expansion at high temperatures, namely the comparison of full and effective theory determinations of the spatial string tension. Furthermore, the full result would also allow to determine one new contribution of order O(g**7) to the pressure of hot QCD.

Note:

19 pages, 2 figures. v2: new Section 6 discussing applications, to match journal version

Thermal Field Theory
QCD
NLO Computations
temperature: high
coupling: gauge
expansion: weak coupling
mass: screening
quantum chromodynamics: finite temperature
effective field theory
dimensional reduction

References(19)

Figures(1)

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