Quark Diffusion and Baryogenesis at the Electroweak Phase Transition

Abstract

Baryogenesis at the electroweak phase transition may take place through CP-violating reflections of quarks from expanding bubbles of the broken symmetry phase. We formulate and approximately solve the transport equations for the reflected quark asymmetries. The results are comparable to a previous Monte Carlo calculation and allow for analytic estimates of the baryon asymmetry $\Delta B$ when the bubble walls have a small velocity. Our method predicts no velocity-dependence for $\Delta B$ in the small $v$ limit, unlike results obtained from a simplified treatment based on the diffusion equation.

11pp, 2 latex-generated figures using bezier.sty (included), UMN-TH-1259-94. Errors corrected (suppression due to finite wall thickness is reduced), explanations expanded (especially concerning the Fokker-Planck approximation of the collision term), *NEW DISCUSSION* of the different velocity dependence predicted by Boltzmann equation versus the diffusion equation. To appear in Phys. Lett. B

References in corpus (4)

• Standard Model CP-violation and Baryon asymmetry
• Baryon Asymmetry of the Universe in the Minimal Standard Model
• Debye Screening and Baryogenesis during the Electroweak Phase Transition
• Color, Spin and Flavor Diffusion in Quark-Gluon Plasmas

Cited by in corpus (8)

• Electroweak Baryogenesis
• Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions
• Dynamics of Two Higgs Doublet CP Violation and Baryogenesis at the Electroweak Phase Transition
• Non-local Electroweak Baryogenesis Part I : Thin Wall Regime
• Quantum Transport and Electroweak Baryogenesis
• Semi-Analytical Approaches to Local Electroweak Baryogenesis
• Electroweak Baryogenesis Using Baryon Number Carrying Scalars
• Diffusion and Debye Screening Near Expanding Domain Walls