Neutrino 2-3 Symmetry and Inverted Hierarchy

Details Neutrino 2-3 Symmetry and Inverted Hierarchy Neutrino 2-3 Symmetry and Inverted Hierarchy

2005-03-16

arxiv.org/abs/hep-ph/0503159v2

Phys.Rev. D71 (2005) 093001

Physics

High Energy Physics

High Energy Physics - Phenomenology

eq.(9) corrected; clarifying explanations and a reference added

Scientific paper

10.1103/PhysRevD.71.093001

Neutrino oscillation data indicate the presence of a 2-3 symmetry for the left-handed neutrinos. We show that this symmetry between the second and third generations cannot be extended to include the charged leptons, no matter what basis we use. We point out that if this symmetry is also independently valid for the right-handed neutrinos, then the active neutrino spectrum is inverted, with $m_3=0$. This conclusion remains valid even when the left-handed 2-3 symmetry is broken by a non-maximal atmospheric mixing angle $\theta_{23}$, or a non-zero reactor angle $\theta_{13}$. As previously shown by Mohapatra, Nasri, and Yu, such a symmetry also gives rise to interesting consequences on the leptogenesis asymmetry parameter $\epsilon_1$.

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