Charged lepton mixing and oscillations from neutrino mixing in the early Universe

Abstract

Charged lepton mixing as a consequence of neutrino mixing is studied for two generations $e,μ$ in the temperature regime $m_μ\ll T \ll M_W$ in the early Universe. We state the general criteria for charged lepton mixing, critically reexamine aspects of neutrino equilibration and provide arguments to suggest that neutrinos may equilibrate as mass eigenstates in the temperature regime \emph{prior} to flavor equalization. We assume this to be the case, and that neutrino mass eigenstates are in equilibrium with different chemical potentials. Charged lepton self-energies are obtained to leading order in the electromagnetic and weak interactions. The upper bounds on the neutrino asymmetry parameters from CMB and BBN without oscillations, combined with the fit to the solar and KamLAND data for the neutrino mixing angle, suggest that for the two generation case there is resonant \emph{charged lepton} mixing in the temperature range $T \sim 5 \mathrm{GeV}$. In this range the charged lepton oscillation frequency is of the same order as the electromagnetic damping rate.