Trimaximal TM${}_1$ mixing with two modular $S_4$ groups

Abstract

We discuss a minimal flavour model with twin modular symmetries, leading to trimaximal TM${}_1$ lepton mixing in which the first column of the tri-bimaximal lepton mixing matrix is preserved. The model involves two modular $S_4$ groups, one acting in the neutrino sector, associated with a modulus field value ${\tau }_{SU}$ with residual $Z_2^{SU}$ symmetry, and one acting in the charged lepton sector, associated with a modulus field value ${\tau }_T$ with residual $Z_3^T$ symmetry. Apart from the predictions of TM${}_1$ mixing, the model leads to a new neutrino mass sum rule which implies lower bounds on neutrino masses close to current limits from neutrinoless double beta decay experiments and cosmology.

arXiv comment23 pages, 2 figures, minor improvement, published in PRD

References in corpus (55)

• Symmetries and Strings in Field Theory and Gravity
• 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
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Finite Modular Groups and Lepton Mixing
• Stringy origin of non-Abelian discrete flavor symmetries
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• Neutrino mixing from finite modular groups
• Tri-bimaximal Neutrino Mixing from Orbifolding
• Unification of Flavor, CP, and Modular Symmetries
• Gauge Unification In Six Dimensions
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry
• Modular Invariance Faces Precision Neutrino Data
• Modular $A_4$ invariance and neutrino mixing
• Comparing Trimaximal Mixing and Its Variants with Deviations from Tri-bimaximal Mixing
• Modular $A_5$ Symmetry for Flavour Model Building
• CP violation of quarks in $A_4$ modular invariance
• 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
• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry
• Trimaximal neutrino mixing from vacuum alignment in A4 and S4 models
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Modular symmetry and non-Abelian discrete flavor symmetries in string compactification
• Multiple modular symmetries as the origin of flavour
• Modular forms of finite modular subgroups from magnetized D-brane models
• The Flavor Group Delta(6n^2)
• New $A_4$ lepton flavor model from $S_4$ modular symmetry
• Trimaximal TM1 neutrino mixing in S4 with spontaneous CP violation
• Modular $S_3$ invariant flavor model in SU(5) GUT
• S_4 Flavor Symmetry Embedded into SU(3) and Lepton Masses and Mixing
• $A_4$ Family Symmetry from SU(5) SUSY GUTs in 6d
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Flavour models for TM1 lepton mixing
• Testing atmospheric mixing sum rules at precision neutrino facilities
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Explicit and spontaneous breaking of SU(3) into its finite subgroups
• Deep learning in the heterotic orbifold landscape
• Towards unification of quark and lepton flavors in $A_4$ modular invariance
• Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds
• Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• Charting the flavor landscape of MSSM-like Abelian heterotic orbifolds
• Flavored Orbifold GUT - an SO(10) x S4 model
• An $S_4\times SU(5)$ SUSY GUT of flavour in 6d
• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• SU(3) Gauge Family Symmetry and Prediction for the Lepton-Flavor Mixing and Neutrino Masses with Maximal Spontaneous CP Violation
• Spontaneous Breaking of Gauge Groups to Discrete Symmetries
• New Weinberg operator for neutrino mass and its seesaw origin
• Effective alignments as building blocks of flavour models

Cited by in corpus (74)

• Flavor structures of charged fermions and massive neutrinos
• Double Cover of Modular $S_4$ for Flavour Model Building
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• Modular $A_4$ invariance and leptogenesis
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Eclectic Flavor Groups
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Lessons from eclectic flavor symmetries
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Modular symmetry origin of texture zeros and quark lepton unification
• 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
• Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries
• 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
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Modular Invariant $A_4$ Models for Quarks and Leptons with Generalized CP Symmetry
• Half-integral weight modular forms and application to neutrino mass models
• $SU(5)$ GUTs with $A_4$ modular symmetry
• Twin Modular $S_4$ with $SU(5)$ GUT
• Classification of discrete modular symmetries in Type IIB flux vacua
• Challenge for spontaneous CP violation in Type IIB orientifolds with fluxes
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• Symmetries and stabilisers in modular invariant flavour models
• Residual flavor symmetry breaking in the landscape of modular flavor models
• Modular $S_4\times SU(5)$ GUT
• Modular symmetry at level 6 and a new route towards finite modular groups
• Modular symmetry in the SMEFT
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Quark and lepton hierarchies from $S_4^{\prime }$ modular flavor symmetry
• Predictions from scoto-seesaw with $A_4$ modular symmetry
• A minimal modular invariant neutrino model
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Quark hierarchical structures in modular symmetric flavor models at level 6
• A simplest modular $S_3$ model for leptons
• Flipped SU(5) with modular $A_4$ symmetry
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Trimaximal neutrino mixing from scotogenic $A_4$ family symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Texture-zero patterns of lepton mass matrices from modular symmetry
• Explicit Perturbations to the Stabilizer $\tau =\mathrm{i}$ of Modular $A_5^{\prime }$ Symmetry and Leptonic CP Violation
• Inverse Seesaw Model with a Modular $S_4^{}$ Symmetry: Lepton Flavor Mixing and Warm Dark Matter
• Quark and lepton flavor structure in magnetized orbifold models at residual modular symmetric points
• Two A4 modular symmetries for Tri-Maximal 2 mixing
• Littlest Modular Seesaw
• Type III seesaw under $A_4$ modular symmetry with leptogenesis
• Minimal seesaw and leptogenesis with the smallest modular finite group
• A Survey of Neutrino Flavor Models and the Neutrinoless Double Beta Decay Funnel
• Leptonic Sum Rules from Flavour Models with Modular Symmetries
• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• Modular flavor symmetry and vector-valued modular forms
• Two A5 modular symmetries for Golden Ratio 2 mixing
• On Minimal realization of Topological Lorentz Structures with one-loop Seesaw extensions in A${}_4$ Modular Symmetry
• Electron EDM arising from modulus $\tau$ in the supersymmetric modular invariant flavor models
• Modular flavour symmetry and orbifolds
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Moduli trapping mechanism in modular flavor symmetric models
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Modular Invariant Models of Leptons at Level 7
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Simiplified textures of the seesaw model for the trimaximal neutrino mixings
• Completing the eclectic flavor scheme of the ${\mathbb{Z}}_2$ orbifold
• Generalized Matter Parities from Finite Modular Symmetries
• Subcritical hybrid inflation in a generalized superconformal model
• $SO(10)$ models with $A_4$ modular symmetry
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• Quark and lepton flavor model with leptoquarks in a modular $A_4$ symmetry
• Yukawa textures in modular symmetric vacuum of magnetized orbifold models
• Modular Flavour Symmetries and Modulus Stabilisation