1307.0988 (Biswajit Adhikary et al.)

Masses, mixing angles and phases of general Majorana neutrino mass
matrix: application to broken cyclic symmetric mass matrix    [PDF]

Biswajit Adhikary, Mainak chakraborty, Ambar Ghosal

General Majorana neutrino mass matrix is complex symmetric which has 12 real parameters. All physical observables in this mass matrix are obtained in terms of parameters of the mass matrix elements. The three neutrino masses, three mixing angles, one Dirac CP phase and two Majorana phases (removing three unphysical phases) are explicitly calculated. We apply the result in the context of broken cyclic symmetric neutrino mass matrix invoking type-I seesaw mechanism. The symmetry invariant mass matrix is incapable to satisfy extant data due to degeneracy of two eigenvalues. Symmetry is broken in the right handed neutrino sector in the most general way by two symmetry breaking parameters. We have seen that 10% breaking of this symmetry is sufficient to accommodate all neutrino oscillation experimental data. In this model normal mass hierarchy is preferred and inverted hierarchy is ruled out. In addition we have numerically estimated the Dirac CP phase and Majorana phases. \Sigma m_i and |m_{\nu_{ee}}| are also calculated and they are within the experimental bound.

View original: http://arxiv.org/abs/1307.0988