Primordial Lepton Family Asymmtries in Seesaw Model

Abstract

In leptogenesis scenario, the decays of heavy Majorana neutrinos generate lepton family asymmetries, $Y_e,Y_{\mu }$ and $Y_{\tau }$. They are sensitive to CP violating phases in seesaw models. The time evolution of the lepton family asymmetries are derived by solving Boltzmann equations. By taking a minimal seesaw model, we show how each family asymmetry varies with a CP violating phase. For instance, we find the case that the lepton asymmetry is dominated by $Y_{\mu }$ or $Y_{\tau }$ depending on the choice of the CP violating phase. We also find the case that the signs of lepton family asymmetries $Y_{\mu }$ and $Y_{\tau }$ are opposite each other. Their absolute values can be larger than the total lepton asymmetry and the baryon asymmetry may result from the cancellation of the lepton family asymmetries.

26 pages, 8 figures, ptp.style

References in corpus (1)

• Heavy Majorana Neutrinos and Baryogenesis

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