Flipped SU(5) with modular $A_4$ symmetry

Abstract

We study Flipped $SU(5)\times U(1)$ Grand Unified Theories (GUTs) with ${\Gamma }_3\simeq A_4$ modular symmetry. We propose two models with different modular weights assignments, where the fermion mass hierarchy can arise from weighton fields. In order to relax the constraint on the Dirac neutrino Yukawa matrix we appeal to mechanisms which allow incomplete GUT representations, allowing a good fit to quark and charged lepton masses and quark mixing for a single modulus field $\tau$, with the neutrino masses and lepton mixing well determined by the type I seesaw mechanism, at the expense of some tuning. We also discuss the double seesaw possibility allowed by the extra singlets generically predicted in such string inspired theories.

27 pages, 1 figure, comments added, published in PRD

References in corpus (18)

• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• Towards a complete $A_4\times SU(5)$ SUSY GUT
• Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau =i$
• Lepton flavor model with modular $A_4$ symmetry in large volume limit
• Automorphic Forms and Fermion Masses
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• 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
• Symmetries and stabilisers in modular invariant flavour models
• Modular $S_4\times SU(5)$ GUT
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry
• An Inverse Seesaw model with $A_4$-modular symmetry
• Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Modular Invariant Models of Leptons at Level 7

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• Flipped SU(5): unification, proton decay, fermion masses and gravitational waves
• 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
• Confronting the prediction of leptonic Dirac CP-violating phase with experiments
• Generalized Matter Parities from Finite Modular Symmetries
• Leptogenesis in Realistic Flipped SU(5)
• FCNCs, Proton Stability, $g_{\mu }-2$ Discrepancy, Neutralino cold Dark Matter in Flipped $SU(5)\times U(1{)}_{\chi }$ from $F$ Theory with $A_4$ Symmetry
• Natural solution of SUSY $\mu$ problem from modulus stabilization in modular flavor model