Abstract

We study a model of neutrino within the framework of minimal extended seesaw (MES), which plays an important role in active and sterile neutrino phenomenology in (3+1) scheme. The A4 flavor symmetry is augmented by additional Z4×Z3 symmetry to constraint the Yukawa Lagrangian of the model. We use non-trivial Dirac mass matrix, with broken μ−τ symmetry, as the origin of leptonic mixing. Interestingly, such structure of mixing naturally leads to the non-zero reactor mixing angle θ13. Non-degenerate mass structure for right-handed neutrino MR is considered so that we can further extend our study to Leptogenesis. We have also considered three different cases for sterile neutrino mass, MS to check the viability of this model, within the allowed 3σ bound in this MES framework.

Highlights

  • Followed by the discovery of the Higgs Boson, the Standard Model (SM) of particle physics is essentially complete, there are some insufficiencies in the theory

  • We have studied the active and sterile neutrino mixing scheme within the minimal extended seesaw (MES) framework based on A4 flavor symmetry along with the discrete Z4 and Z3 symmetry

  • In this paper we have investigated the extension of low scale SM type-I seesaw i.e., the minimal extended seesaw, which restricts active neutrino masses to be within sub-eV scale and generates an eV scale light sterile neutrino

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Summary

INTRODUCTION

Followed by the discovery of the Higgs Boson, the Standard Model (SM) of particle physics is essentially complete, there are some insufficiencies in the theory. While doing this the Yukawa Coupling relating lepton doublets and right-handed neutrinos should be of the order 10−12 which implies a Dirac neutrino mass of sub-eV scale to observe the desired active-sterile mixing These small Dirac Yukawa couplings are considered unnatural unless there is some underlying mechanism to follow. Similar approaches using type-I seesaw framework have been evinced by some authors[58, 67, 69], where type-I seesaw is extended by adding one extra singlet fermion, which scenario is popularly known as the minimal extended seesaw (MES) model This extension gives rise to tiny active neutrino mass along with the sterile mass without the need of small Yukawa couplings. The summary of our work is concluded in the section V

THE MINIMAL EXTENDED SEESAW
Normal Hierarchy
Inverted Hierarchy
NUMERICAL ANALYSIS
NORMAL HIERARCHY
One would notice the fact in the active mass matrices
INVERTED HIERARCHY
SUMMARY AND CONCLUSION

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