Authors Referees APS Members |
January 2008, to be published in Physical Review D1
Neutrino mixing based on mass matrices with a $2\leftrightarrow{3}$ symmetry
Under an 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 explicit parameter values. 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 obeys the $2\leftrightarrow 3$ symmetry. Possible phenomenology is discussed. © 2008 The American Physical Society.
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