Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-04-27
Phys.Rev.D81:093003,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 Pages, 2 Figures, References corrected
Scientific paper
10.1103/PhysRevD.81.093003
The degenerate leptogenesis is studied when the degeneracy in two of the heavy right-handed neutrinos [the third one is irrelevant if $\mu -\tau $ symmetry is assumed] is due to $\bar{L}\equiv (L_{e}-L_{\mu}-L_{\tau}) $ discrete symmetry. It is shown that a sizeable leptogenesis asymmetry $(\epsilon \succsim 10^{-6}) $ is possible. The level of degeneracy required also predicts the Majorana phase needed for the asymmetry. Since it is the same phase, which appears in the double $\beta $% -decay and this prediction is testable. Implication of non-zero reactor angle $\theta_{13}$ are discussed. It is shown that the contribution from $% \sin ^{2}\theta_{13}$ to leptogenesis asymmetry parameter may even dominate.An accurate measument of $\sin ^{2}\theta_{13}$ would have important implications for the mass degeneracy of heavy right-handed neutrinos.
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