Lepton asymmetry growth in the symmetric phase of an electroweak plasma with hypermagnetic fields versus its washing out by sphalerons

Abstract

We study lepton asymmetry evolution in plasma of the early Universe before the electroweak phase transition (EWPT) accounting for chirality flip processes via Higgs decays (inverse decays) entering equilibrium at temperatures below T_RL ~ 10 TeV, T_EW < T < T_RL. We solve appropriate kinetic equations for leptons and Higgs bosons taking into account the lepton number violation due to Abelian anomalies for right and left electrons and neutrinos in the self-consistent hypercharge field obeying Maxwell equations modified by the contribution of the Standard Model of electroweak interactions. The violation of left lepton numbers and the corresponding violation of the baryon number due to sphaleron processes in symmetric phase is taken into account as well. Assuming the Chern-Simons wave configuration of the seed hypercharge field, we get the estimates of baryon and lepton asymmetries evolved from the primordial right electron asymmetry existing alone as partial asymmetry at T > T_RL. One finds a strong dependence of the asymmetries on the Chern-Simons wave number. We predict a nonzero chiral asymmetry Δμ= μ_e_R - μ_e_L \neq 0 in this scenario evolved down to the EWPT moment that can be used as an initial value for the Maxwellian field evolution after EWPT.

12 pages, two columns, Revtex4.1, 3 eps figures; minimal changes in the text, version accepted for publication in Phys.Rev.D

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• On the Origin of Cosmic Magnetic Fields
• Long-range magnetic fields in the ground state of the Standard Model plasma
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• The effects of the U${}_{\text{Y}}$(1) Chern-Simons term and its baryonic contribution on matter asymmetries and hypermagnetic fields
• Fundamental Implications of Intergalactic Magnetic Field Observations
• Leptogenesis in the Symmetric Phase of the Early Universe: Baryon Asymmetry and Hypermagnetic Helicity Evolution
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• Gravitational waves generation in turbulent hypermagnetic fields before the electroweak phase transition
• Impact of hypermagnetic fields on relic gravitational waves, neutrino oscillations and baryon asymmetry
• Magnetogenesis From Baryon Asymmetry During an Early Matter Dominated Era
• Cosmological chirality and magnetic fields from parity violating particle decays
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• Cosmological magnetic fields in turbulent matter
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