Neutrino masses and mixing in Type I+II Seesaw with Δ(27) Symmetry

Sethi, Itishree and Behera, Biswaranjan and Behera, Mitesh Kumar (2019) Neutrino masses and mixing in Type I+II Seesaw with Δ(27) Symmetry. arXiv.org.

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Abstract

In this article, we have discussed a minimal extension of the Standard Model (SM), in which the neutrino mass matrix is obtained from type-I and type-II seesaw with the assistance of the non-abelian discrete Δ(27) symmetry. In this model, we have added two Higgs doublets, which will give mass to the charged leptons and two right-handed neutrinos (ν1,ν2) and five scalar triplets Δi(i=1,2,...,5) to give masses to the neutrinos through type-I and type-II seesaw mechanism. The extra particle, one scalar singlet we have added to make the Lagrangian invariant and which will give the mass to the second neutrino. The massiveness of neutrino can be realized after introducing two right-handed neutrinos and three scalar triplets, these right handed neutrinos transform as a singlet under SU(2)L, as 11 and 12 under Δ(27). Similarly, the scalar triplets are triplets under SM as well as under Δ(27) also. We further connote with the detailed numerical investigation of neutrino oscillation data like non-zero reactor mixing angle (θ13), Dirac CP-violating phase (δCP), the sum of the light neutrino masses, two mass squared differences and its implication to neutrino-less double beta decay (NDBD).

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