Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry

Abstract

We propose to generate the flavor structures of the Standard Model plus neutrinos from flipped SU(5) GUT with $A_4$ modular flavor symmetry. Possible way to assign different moduli values for quarks and leptons in modular GUT scheme is discussed. We propose to reduce the multiple modular symmetries to a single modular symmetry in the low energy effective theory with proper boundary conditions. We classify all possible scenarios in this scheme according to the assignments of the modular $A_4$ representations for matter superfields and give the expressions of the quark and lepton mass matrices predicted by our scheme at the GUT scale. After properly selecting the modular weights for various superfields that can lead to better fitting, we can obtain the best-fit points with the corresponding ${\chi }^2$ values for the sample subscenarios. We find that the flavor structures of the Standard Model plus neutrinos can be fitted perfectly in such a $A_4$ modular flavor GUT scheme with single or two modulus fields. Especially, the ${\chi }_{total}^2$ of our fitting can be as low as $1.558$ for sample $\mathbf{I}{\mathbf{X}}^{\prime }$ of scenario $\mathbf{III}$ even if only a single common modulus field for both quark and lepton sectors is adopted. The most predictive scenario $\mathbf{III}$, in which all superfields transform as triplets of $A_4$, can be fitted much better with two independent moduli fields ${\tau }_q,{\tau }_l$ for quark sector and lepton sector (${\chi }_{total}^2\approx 95$) than that with the single modulus case (${\chi }_{total}^2\approx 282.4$).

arXiv comment49 pages, 8 tables. Version accepted by JHEP

References in corpus (61)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• SARAH 4: A tool for (not only SUSY) model builders
• Gauge Unification in Higher Dimensions
• SARAH 3.2: Dirac Gauginos, UFO output, and more
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• Flavor structures of charged fermions and massive neutrinos
• A Minimal S^1/(Z_2 x Z_2') Orbifold GUT
• Lepton Masses and Mixing from Modular $S_4$ Symmetry
• Higher dimensional supersymmetry in 4D superspace
• Neutrino mixing from finite modular groups
• Running quark and lepton parameters at various scales
• Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
• Modular Invariance Faces Precision Neutrino Data
• The Structure of GUT Breaking by Orbifolding
• Modular $A_4$ invariance and neutrino mixing
• CP violation of quarks in $A_4$ modular invariance
• Modular $A_5$ Symmetry for Flavour Model Building
• Modular $S_4$ Models of Lepton Masses and Mixing
• Generalised CP Symmetry in Modular-Invariant Models of Flavour
• 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
• 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 $S_3$ 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
• Modular symmetry by orbifolding magnetized $T^2\times T^2$: realization of double cover of ${\Gamma }_N$
• The Minimal Seesaw Model with a Modular $S_4$ Symmetry
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• 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
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Challenge for spontaneous CP violation in Type IIB orientifolds with fluxes
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Dirac neutrino mass models with a modular $S_4^{}$ symmetry
• Fermion masses and mixing in modular A4 Symmetry
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• Broken Scaling Neutrino Mass Matrix and Leptogenesis based on A${}_4$ Modular invariance
• Modulus $\tau$ linking leptonic CP violation to baryon asymmetry in $A_4$ modular invariant flavor model
• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• Flipped SU(5) with modular $A_4$ symmetry
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Two A4 modular symmetries for Tri-Maximal 2 mixing
• Subcritical regime of hybrid inflation with modular $A_4$ symmetry
• Two A5 modular symmetries for Golden Ratio 2 mixing
• Linear seesaw model with a modular $S_4$ flavor symmetry
• Low-Scale SU(4)_W Unification
• A hybrid seesaw model and hierarchical neutrino flavor structures based on $A_4$ symmetry
• Realistic Flipped SU(5) from Orbifold SO(10)

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