The Sphaleron Rate: Bodeker's Leading Log

Physics – High Energy Physics – High Energy Physics - Phenomenology

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37 pages, including 4 figures. Expansion of Appendix A discussing relation between heat bath and Langevin algorithms

Scientific paper

10.1016/S0550-3213(99)00746-4

Bodeker has recently shown that the high temperature sphaleron rate, which measures baryon number violation in the hot standard model, receives logarithmic corrections to its leading parametric behavior; Gamma = kappa' [log(m_D / g^2 T) + O(1)] (g^2 T^2 / m_D^2) \alpha_W^5 T^4. After discussing the physical origin of these corrections, I compute the leading log coefficient numerically; kappa' = 10.8 pm 0.7. The log is fairly small relative to the O(1) ``correction;'' so nonlogarithmic contributions dominate at realistic values of the coupling.

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