Exploring the feasibility of the charged lepton flavor violating decay $\mu \to e+\gamma$ in inverse and linear seesaw mechanisms with $A_4$ flavour symmetry

Abstract

One of the possible ways to explain the observed flavour structure of fundamental particles is to include flavor symmetries in the theories. In this work, we investigate the rare charged lepton flavour violating (cLFV) decay process ($\mu \to e\gamma$) in two of the low scale ($\sim$TeV) seesaw models: (i) the Inverse seesaw (ISS) and (ii) Linear seesaw (LSS) models within the framework of $A_4$ flavour symmetry. Apart from the $A_4$ flavour symmetry, some other symmetries like $U(1{)}_X$, $Z_4$ and $Z_5$ are included to construct the Lagrangian. We use results from our previous work \cite{Devi:2021ujp,Devi:2021aaz} where we computed unknown neutrino oscillation parameters within $3\sigma$ limits of their global best fit values, and apply those results to compute the branching ratio (BR) of the muon decay for both the seesaw models. Next we compare our results with the current experimental bounds and sensitivity limits of BR($\mu \to e\gamma$) as projected by various experiments, and present a comparative analysis that which of the two models is more likely to be tested by which current/future experiment. This is done for various values of currently allowed non-unitarity parameter. This comparative study will help us to pinpoint that which of the low scale seesaw models and triplet flavon VEV alignments will be more viable and favourable for testing under a common flavour symmetry ($A_4$ here), and hence can help discriminate between the two models.

arXiv comment30 pages, 7 figures, 6 tables

References in corpus (30)

• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• 2020 Global reassessment of the neutrino oscillation picture
• Novel Supersymmetric SO(10) Seesaw Mechanism
• Flavour-Violating Charged Lepton Decays in Seesaw-Type Models
• Global constraints on heavy neutrino mixing
• Left-Right Symmetry Breaking in NJL Approach
• Muon conversion to electron in nuclei in type-I seesaw models
• TeV Scale Inverse Seesaw in SO(10) and Leptonic Non-Unitarity Effects
• Lepton flavor violation and non-unitary lepton mixing in low-scale type-I seesaw
• A4-based tri-bimaximal mixing within inverse and linear seesaw schemes
• $A_4$ Flavour Model for Dirac Neutrinos: Type I and Inverse Seesaw
• Probing the Majorana mass scale of right-handed neutrinos in mSUGRA
• Reconciling the 2 TeV Excesses at the LHC in a Linear Seesaw Left-Right Model
• Towards deconstructing the simplest seesaw mechanism
• Dirac-Phase Thermal Leptogenesis in the extended Type-I Seesaw Model
• Compatibility of theta13 and the Type I Seesaw Model with A4 Symmetry
• Inverse Seesaw Mechanism in Nonsupersymmetric SO(10), Proton Lifetime, Nonunitarity Effects, and a Low-mass Z' Boson
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Less suppressed mu-e-gamma and tau-mu-gamma loop amplitudes and extra dimension theories
• $A_4$ realization of Linear Seesaw and Neutrino Phenomenology
• Non-unitary Leptonic Flavor Mixing and CP Violation in Neutrino-antineutrino Oscillations
• Two radiative inverse seesaw models, dark matter, and baryogenesis
• Constraining Type I Seesaw with $A_4$ Flavor Symmetry From Neutrino Data and Leptogenesis
• Compatibility of $A_4$ Flavour Symmetric Minimal Extended Seesaw with $(3+1)$ Neutrino Data
• A full parametrization of the $9\times 9$ active-sterile flavor mixing matrix in the inverse or linear seesaw scenario of massive neutrinos
• Flavon-induced connections between lepton flavour mixing and charged lepton flavour violation processes
• The MEGII detector
• Constraining $A_4$ Leptonic Flavour Model Parameters at Colliders and Beyond
• Lepton flavor violation in the SUSY seesaw model: an update
• Octant of ${\theta }_{23}$, MH, $0\nu \beta \beta$ decay and vacuum alignment of $A_4$ flavour symmetry in an inverse seesaw model

Cited by in corpus (1)

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