Effects of Leptonic Non-unitarity on Charged Lepton Flavor Violation, Leptogenesis and Lightest Neutrino Mass

摘要

70.1 Introduction The cosmological constraints of the sum of the v masses bound is Σ_im(vi) < 0.23 eV from CMB, Planck 2015 data (CMB15+ LRG+ lensing + H_0) [1]. We note that the lepton mixing matrix U has a big mixing and we know almost nothing about the phases. The discoveries of neutrino mass and leptonic mixing have come from the observation of neutrino flavor change, v_(α→vβ). CP violation interchanges every particle in a process by its antiparticle. In the usual unitarity scenario, the three active neutrinos, the flavor eigen states v_e, v_μ, v_τ are connected to the mass eigen states v_1, v_2, v_3 via v_α= N_(αi)v_i, where N~?N= 1. Here N is the generalised v mixing matrix which could be both unitary and nonunitary. In the See-Saw picture, we assume that, just as there are 3 light neutrinos v_1,v_2, v_3, there are 3 heavy right handed neutrinos Mi, M_2, M_3, where M_R~ 10~(9-14) GeV,M_R ~ M_1, M_2, M_3 which were there in the Hot Big Bang. The M_R decays modes are:{formula} where, l~-are e~-, μ~-, τ~- and H~+, H~-, H~0 are the Higgs field. CP violation effects in the M_R decays, may result from phases in the decay coupling constants. This leads to unequal numbers of leptons (l~- and v) and antileptons (l~+and {- under letter v}) in the Universe.