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A new method of parametrisation of neutrino mass matrix through breaking of μ-τ symmetry: Normal hierarchy

2012/06/29 by Subhankar Roy, Roy, Subhankar, N. Nimai Singh +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1206.7016

19 pages, 14 figures

arxiv created 2012/06/29 · arxiv updated 2012/07/02

Abstract

In the first part of the present work the μ-τ symmetry of the neutrino mass matrix is perturbed at its minimal level in order to produce deviation from Tri-bimaximal mixing (TBM), which includes nonzero value of reactor angle θ13 and maximal condition of tan2θ23=1. The parametrisation of neutrino mass matrix which describes Normal hierarchy (NH), has been addressed with minimum number of independent parameters, out of which two parameters η and α take care of θ12 and θ13 respectively without any interference with mass eigenvalues. In the second part the deviation from maximal condition tan2θ23=1, along with the nonzero value of θ13, has been implemented with the introduction of a perturbing matrix which breaks the μ-τ symmetric mass matrix. The model is found to be flexible enough to adjust itself with the changing precise experimental results. The method is also applicable for inverted hierarchy and quasi-degenerate cases.

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