Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$ Symmetry

Details Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$ Symmetry Neutrino Mixing based on Mass Matrices with a $2 \leftrightarrow 3$ Symmetry

2007-06-29

arxiv.org/abs/0706.4373v3

Phys.Rev.D77:016006,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, title and conclusions modified

Scientific paper

10.1103/PhysRevD.77.016006

Under the assumption that the $2\leftrightarrow 3$ symmetry is broken only through phases, we give a systematical investigation of possible lepton mass matrix forms without referring to the explicit parameter values. The two types of the $2\leftrightarrow 3$ symmetry are investigated: one is that the left- and right-handed fields $(f_L, f_R)$ obey the symmetry, and another one is that only $f_L$ obeys the symmetry. In latter case, in spite of no $2\leftrightarrow 3$ symmetry in the Majorana mass matrix $M_R$ for $\nu_R$, the neutrino seesaw mass matrix still obey the $2\leftrightarrow 3$ symmetry. Possible phenomenologies are discussed.

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