$SO(10)$ models with $A_4$ modular symmetry

Abstract

We combine $SO(10)$ Grand Unified Theories (GUTs) with $A_4$ modular symmetry and present a comprehensive analysis of the resulting quark and lepton mass matrices for all the simplest cases. We focus on the case where the three fermion families in the 16 dimensional spinor representation form a triplet of ${\Gamma }_3\simeq A_4$, with a Higgs sector comprising a single Higgs multiplet $H$ in the $10$ fundamental representation and one Higgs field $\overline{\Delta }$ in the $\overline{126}$ for the minimal models, plus and one Higgs field $\Sigma$ in the $120$ for the non-minimal models, all with specified modular weights. The neutrino masses are generated by the type-I and/or type II seesaw mechanisms and results are presented for each model following an intensive numerical analysis where we have optimized the free parameters of the models in order to match the experimental data. For the phenomenologically successful models, we present the best fit results in numerical tabular form as well as showing the most interesting graphical correlations between parameters, including leptonic CP phases and neutrinoless double beta decay, which have yet to be measured, leading to definite predictions for each of the models.

arXiv comment36 pages, 10 figures

References in corpus (72)

• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen
• Neutrino Mass and Mixing with Discrete Symmetry
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Unified Models of Neutrinos, Flavour and CP Violation
• Neutrino mixing from finite modular groups
• Planck 2018 results. VI. Cosmological parameters
• 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
• Unification and Fermion Mass Structure
• 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
• 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
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Modular $S_3$ invariant flavor model in SU(5) GUT
• Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group
• Modular symmetry origin of texture zeros and quark lepton unification
• Type II seesaw models with modular $A_4$ symmetry
• Modular Invariant Models of Lepton Masses at Levels 4 and 5
• 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
• Neutrino Mixing Predictions of a Minimal SO(10) Model with Suppressed Proton Decay
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Different SO(10) Paths to Fermion Masses and Mixings
• Automorphic Forms and Fermion Masses
• 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
• Embedding the Zee-Wolfenstein neutrino mass matrix in an SO(10) x A4 GUT scenario
• 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
• Fermion masses and mixings in a renormalizable SO(10) x Z_2 GUT
• Twin Modular $S_4$ with $SU(5)$ GUT
• Testing Moduli and Flavon Dynamics with Neutrino Oscillations
• CP Symmetry and Symplectic Modular Invariance
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Towards unification of quark and lepton flavors in $A_4$ modular invariance
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• A two loop induced neutrino mass model with modular $A_4$ symmetry
• Modular $S_4\times SU(5)$ GUT
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Modular symmetry at level 6 and a new route towards finite modular groups
• Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry
• A natural $S_4\times SO(10)$ model of flavour
• A linear seesaw model with $A_4$-modular flavor and local $U(1{)}_{B-L}$ symmetries

Cited by in corpus (1)

• Modular symmetry in the SMEFT