Linear seesaw model with a modular $S_4$ flavor symmetry

Abstract

We discuss a linear seesaw model with as minimum field content as possible, introducing a modular $S_4$ with the help of gauged $U(1{)}_{B-L}$ symmetries. Due to rank two neutrino mass matrix, we have a vanishing neutrino mass eigenvalue, and only the normal mass hierarchy of neutrinos is favored through the modular $S_4$ symmetry. In our numerical $\Delta {\chi }^2$ analysis, we especially find rather sharp prediction on sum of neutrino masses to be around $60$ meV in addition to the other predictions.

arXiv comment21 pages, two tables, three figures; version accepted for publication in Chinese Physics C

References in corpus (67)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Neutrino Mass and Mixing with Discrete Symmetry
• Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering
• Novel Supersymmetric SO(10) Seesaw Mechanism
• Neutrino Mass and Mixing: from Theory to Experiment
• Finite Modular Groups and Lepton Mixing
• Global constraints on heavy neutrino mixing
• Dynamical Left-Right Symmetry Breaking
• Lepton mixing and discrete symmetries
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Left-Right Symmetry Breaking in NJL Approach
• Unified Models of Neutrinos, Flavour and CP Violation
• Neutrino mixing from finite modular groups
• Unification of Flavor, CP, and Modular Symmetries
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• Modular Invariance Faces Precision Neutrino Data
• Modular $A_4$ invariance and neutrino mixing
• Modular $A_5$ Symmetry for Flavour Model Building
• CP violation of quarks in $A_4$ modular invariance
• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• Modular $S_4$ Models of Lepton Masses and Mixing
• Neutrino Masses and Mixing from Double Covering of Finite Modular Groups
• Finite modular subgroups for fermion mass matrices and baryon/lepton number violation
• Modular $S_4$ and $A_4$ Symmetries and Their Fixed Points: New Predictive Examples of Lepton Mixing
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation
• A String Theory of Flavor and CP
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Double Cover of Modular $S_4$ for Flavour Model Building
• A note on the predictions of models with modular flavor symmetries
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• Multiple modular symmetries as the origin of flavour
• A modular $A_4$ symmetric model of dark matter and neutrino
• Modular $S_3$ symmetric radiative seesaw model
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• Modular $A_4$ invariance and leptogenesis
• A modular $A_4$ symmetric scotogenic model
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Modular $S_3$ invariant flavor model in SU(5) GUT
• Type II seesaw models with modular $A_4$ symmetry
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• Modular Invariant Models of Lepton Masses at Levels 4 and 5
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• Modular invariant flavor model of ${\mathrm{A}}_4$ and hierarchical structures at nearby fixed points
• Double Covering of the Modular $A_5^{}$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model
• $CP$ violation in modular invariant flavor models
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Radiative Linear Seesaw model, Dark Matter and $U(1{)}_{B-L}$
• Metaplectic Flavor Symmetries from Magnetized Tori
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• Generation of radiative neutrino mass in the linear seesaw framework, charged lepton flavor violation and dark matter
• A radiative seesaw model with three Higgs doublets in modular $A_4$ symmetry
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
• $SU(5)$ GUTs with $A_4$ modular symmetry
• Twin Modular $S_4$ with $SU(5)$ GUT
• CP Symmetry and Symplectic Modular Invariance
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Symmetries and stabilisers in modular invariant flavour models
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Predictions from warped flavordynamics based on the $T^{\prime }$ family group

Cited by in corpus (3)

• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Discrete symmetries and Efficient Counting of Operators