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PERTURBED INVARIANT UNDER A CYCLIC PERMUTATION WITH TRACE OF NEUTRINO MASS MATRIX REMAIN CONSTANT

ASAN DAMANIK

Department of Physics, Faculty of Science and Technology, Sanata Dharma University, Kampus III USD Paingan, Maguwoharjo, Sleman, Yogyakarta, Indonesia

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https://doi.org/10.1142/S0217732311035006Cited by:3 (Source: Crossref)

Abstract

We construct a neutrino mass matrix M_ν via a seesaw mechanism with perturbed invariant under a cyclic permutation by introducing a parameter δ into the diagonal elements of M_ν with the assumption that trace of the perturbed M_ν is equal to trace of the unperturbed M_ν. We found that the perturbed neutrino mass matrices M_ν can predict the mass-squared difference with the possible hierarchy of neutrino mass is normal or inverted hierarchy. By using the advantages of the mass-squared differences and mixing parameters data from neutrino oscillation experiments, we then have neutrino masses in inverted hierarchy with masses: |m₁| = 0.101023 eV, |m₂| = 0.101428 eV and |m₃| = 0.084413 eV.

Keywords:

PACS: 14.60.Pq

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