Baryogenesis and hypermagnetic helicity in the Early Universe

V. B. Semikoz¹ - A. Yu. Smirnov^{1, 3} - D. D. Sokoloff^{1, 2}

¹ Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation, RAS, Troitsk, Moscow 142190, Russia
² Department of Physics, Moscow State University, Moscow 119999, Russia
³ National University of Science and Technology "MISiS", Moscow 119049, Russia

Abstract
In this paper, we summarize our previous results concerning the evolution lepton asymmetry and hypermagetic helicity in the early Universe before the electroweak phase transition, accounting for chirality flip processes via inverse Higgs decays and sphaleron transitions which violate the left lepton number and wash out the baryon asymmetry of the Universe. In the scenario, where right electron asymmetry supports the baryon asymmetry of the Universe alone through the conservation law B/3−L_eR=\const at temperatures T > T_RL ≅ 10 TeV, the following universe cooling leads to the production of a non-zero left lepton (electrons and neutrinos) asymmetry. This is due to the Higgs decays becoming more faster when entering the equilibrium at T=T_RL with the universe expansion, Γ_RL ∼ T > H ∼ T², resulting in the parallel evolution of both the right and the left electron asymmetries at T < T_RL through the corresponding Abelian anomalies in SM in the presence of a seed hypermagnetic field. Figs 2, Refs 16.