Expansion of <i>U</i>PMNS and Neutrino Mass Matrix <i>M<sub>v</sub></i> in Terms of sin<i>θ</i><sub>13</sub> for Inverted Hierarchical Case
- 1 Department of Physics, Gauhati University, Guwahati, India
- 2 Department of Physics, Gauhati University, Guwahati, India
Abstract
The recent observational data supports the deviation from Tri-bimaximal (TBM) mixing. Different theories suggest the interdependency among the observational parameters involving the mixing angles. On phenomenological ground , we try to construct the PMNS matrix, U PMNS with certain analytic structure satisfying spontaneously the unitary condition, in terms of a single observational parameter sin θ 13 We hypothesise the three neutrino masses, m i as functions of sin θ 13 and then construct the neutrino mass matrix M v with certain exact and expandable form. We assume the convergence of the model to TBM mixing when θ 13 is taken 0. The mass matrix so far obtained can be employed for various applications including the estimation of matter-antimatter asymmetry of the universe.
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