Abstract

We present an {mathrm{A}}_4 flavor extended {mathrm{B-L}} model for realization of eV scale sterile neutrinos, motivated by the recent experimental hints from both particle physics and cosmology. The framework considered here is a gauged {mathrm{B-L}} extension of standard model without the introduction of right-handed neutrinos, where the gauge triangle anomalies are canceled with the inclusion of three exotic neutral fermions N_{i} (i=1,2,3) with {mathrm{B-L}} charges -,4,-,4 and 5. The usual Dirac Yukawa couplings between the SM neutrinos and the exotic fermions are absent and thus, the model allows natural realization of eV scale sterile-like neutrino and its mixing with standard model neutrinos by invoking {mathrm{A}}_4 flavor symmetry. We demonstrate how the exact tri-bimaximal mixing pattern is perturbed due to active-sterile mixing by analyzing 1+3 case in detail. We also show the implication of eV scale sterile-like neutrino on various observables in neutrino oscillation experiments and the effective mass in neutrinoless double beta decay. Another interesting feature of the model is that one of three exotic fermions is required to explain eV scale phenomena, while other two fermions form stable dark matter candidates and their total relic density satisfy the observed 3sigma limit of Planck data. We constrain the gauge parameters associated with U(1) gauge extension, using relic density and collider bounds.

Highlights

  • Albeit its success, Standard Model (SM) is not the complete theory of nature to explain many observed phenomena

  • The massive neutrinos and most of neutrino oscillation data can be explained in a framework of three active neutrinos through the elegant canonical seesaw mechanism [1,2,3,4,5,6], whereas some experimental observations are strongly hinting towards one or two additional light neutrinos with eV scale masses and O(0.1) mixing with active neutrinos [7,8,9,10,11,12,13], stemming from particle physics, cosmology and astrophysics

  • We have presented a detail study of neutrino and dark matter phenomenology in a minimal extension of Standard Model with U(1)B−L and A4 flavor symmetry

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Summary

Introduction

Standard Model (SM) is not the complete theory of nature to explain many observed phenomena. The minimal B − L gauge extension of Standard Model with one copy of righthanded neutino having B − L charge as −1 per generation or popular left-right theories [56,57,58,59,60] (where B − L charge has a physical meaning with electric charge) provides an easier platform to explain the light neutrino masses through seesaw mechanism as well as the baryon asymmetry of the universe through leptogenesis These theories fail to accomodate a stable cold dark matter candidate without imposition of ad-hoc discrete symmetry or inclusion of additional particles (see a recent work [61] for minimal left-right dark matter).

Model description
Scalar potential and symmetry breaking pattern
CP-odd and CP-even scalar mass matrices
Lagrangian and Leptonic Mass matrix
Neutrino masses and mixing with one eV scale sterile-like neutrino
Numerical analysis
Dark matter phenomenology
Summary and conclusion

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