Inverse seesaw in $A_5^{\prime }$ modular symmetry

Abstract

We make an investigation of modular ${\Gamma }_5^{\prime }\simeq A_5^{\prime }$ group in inverse seesaw framework. Modular symmetry is advantageous because it reduces the usage of extra scalar fields significantly. Moreover, the Yukawa couplings are expressed in terms of Dedekind eta functions, which also have a $q$ expansion form, utilized to achieve numerical simplicity. Our proposed model includes six heavy fermion superfields i.e., ${\mathcal{N}}_{Ri}$, ${\mathcal{S}}_{Li}$ and a weighton. The study of neutrino phenomenology becomes simplified and effective by the usage of $A_5^{\prime }$ modular symmetry, which provides us a well defined mass structure for the lepton sector. Here, we observe that all the neutrino oscillation parameters, as well as the effective electron neutrino mass in neutrinoless double beta decay can be accommodated in this model. We also briefly discuss the lepton flavor violating decays ${\ell }_i\to {\ell }_j\gamma$ and comment on non-unitarity of lepton mixing matrix.

21 pages, 5 figures

References in corpus (13)

• Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities
• Type-III see-saw at LHC
• Imprints of massive inverse seesaw model neutrinos in lepton flavor violating Higgs boson decays
• Low Energy Signatures of the TeV Scale See-Saw Mechanism
• Upper Bound on the Mass of the Type III Seesaw Triplet in an SU(5) Model
• A Minimal Type II Seesaw Model
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Leptogenesis with Linear, Inverse or Double Seesaw
• Minimal Dynamical Inverse See Saw
• Lepton FCNC in Type III Seesaw Model
• Radiative Neutrino Mass in Type III Seesaw Model
• A modular $A_4$ symmetric Scotogenic model for Neutrino mass and Dark Matter
• The Minimal Type-II Seesaw Model and Flavor-dependent Leptogenesis

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• Modular flavor symmetry and vector-valued modular forms
• Neutrino Mass Sum Rules from Modular ${\mathcal{A}}_4$ Symmetry
• Neutrino masses and mixing in Minimal Inverse Seesaw using $A_4$ modular symmetry
• Quasi two-zero texture in Type-II seesaw at fixed points from modular $A_4$ symmetry