The Sphaleron Rate in the "Symmetric" Electroweak Phase

Abstract

I calculate the rate of $B+L$ violating processes in the ``symmetric" phase of the Standard Model by means of semiclassical methods, which are based on an appropriately resummed loop expansion within the dimensionally reduced theory. The rate is found to reach its asymptotic form $Γ/V=c(\a_W T)^4$ at a temperature about three times the critical temperature of the electroweak phase transition, with a coefficient $c\sim 0.01$ at the one-loop level. The order of magnitude of $c$ is sensitive to higher order corrections to the dynamically generated vector boson mass if these are greater than 20\%. The temperature below which baryon number dissipation is in thermal equilibrium in the early universe is estimated to be $T_{\ast }\sim 10^{11}\mathrm{GeV}$.

10 pages latex, 2 figures in separate uufile

References in corpus (9)

• 3D Physics and the Electroweak Phase Transition: Perturbation Theory
• Phase Structure and Phase Transition of the SU(2) Higgs Model in Three Dimensions
• Quantum Fluctuations around the Electroweak Sphaleron
• Quantum fluctuations of the electroweak sphaleron: Erratum and Addendum
• A Hierarchy of Effective Field Theories of Hot Electroweak Matter
• Gauge Invariant Treatment of the Electroweak Phase Transition
• Aspects of the Cosmological Electroweak Phase Transition
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• Abelian versus Non-Abelian Higgs Model in Three Dimensions

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• The Sphaleron Rate in the Minimal Standard Model
• The art of simulating the early Universe -- Part I
• Motion of Chern-Simons Number at High Temperature Under a Chemical Potential
• The Sphaleron Rate through the Electroweak Cross-over
• Chiral charge dynamics in Abelian gauge theories at finite temperature
• Finite T Electroweak Phase Transition on the Lattice
• The finite temperature real time \hbar^2 corrections in quantum mechanics
• Formation and Collapse of False Vacuum Bubbles in Relativistic Heavy-Ion Collisions