Chern-Simons Diffusion Rate near the Electroweak Phase Transition for $m_H \approx m_W$

Details Chern-Simons Diffusion Rate near the Electroweak Phase Transition for $m_H \approx m_W$ Chern-Simons Diffusion Rate near the Electroweak Phase Transition for $m_H \approx m_W$

1996-05-13

arxiv.org/abs/hep-lat/9605016v1

Nucl.Phys. B482 (1996) 265-285

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, 8 Postscript figures, uses epsf.sty

Scientific paper

The rate of $B$-violation in the standard model at finite temperature is closely related to the diffusion rate $\Gamma$ of Chern-Simons number. We compute this rate for $m_H \approx m_W$ in the classical approximation in an effective SU(2)-Higgs model, using Krasnitz's algorithm. The parameters in the effective hamiltonian are determined by comparison with dimensional reduction. In the high temperature phase we find $\Gamma/V (\alpha_W T)^4 \approx 1$, neglecting a finite renormalization. In the low temperature phase near the transition we find the rate to be much larger than might be expected from previous analytic calculations based on the sphaleron.

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