Pressure of the Standard Model at High Temperatures

Abstract

We compute the pressure of the standard model at high temperatures in the symmetric phase to three loops, or to O(g^5) in all coupling constants. We find that the terms of the perturbative expansion in the SU(2) + Higgs sector decrease monotonically with increasing order, but the large values of the strong coupling constant g_s and the Yukawa coupling of the top quark g_Y make the expansion in the full theory converge more slowly. The final result is observed to be about 10% smaller than the ideal gas pressure commonly used in cosmological calculations.

30 pages, 4 figures. v2: one reference added, minor revisions, accepted for publication in JHEP

References in corpus (2)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Plaquette expectation value and gluon condensate in three dimensions

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