A linear seesaw model with $A_4$-modular flavor and local $U(1{)}_{B-L}$ symmetries

Abstract

We discuss a linear seesaw model with local $U(1{)}_{B-L}$ and modular $A_4$ symmetries. The neutrino mass matrix for linear seesaw mechanism is realized by $U(1{)}_{B-L}$ charge assignment and the nature of modular $A_4$ symmetry. We formulate neutrino mass and carry our numerical analysis showing some predictions for observables in neutrino sector. Remarkably, the case of inverted neutrino mass ordering (IO) is realized by a specific region around $\tau =\omega =e^{2\pi i/3}$, which is favored by a string theory. Thus, our prediction would be very strong in case of IO.

18 pages, 5 figures, 1 table

Cited by in corpus (16)

• 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
• Fermion Masses and Mixing from Double Cover and Metaplectic Cover of $A_5$ Modular Group
• Half-integral weight modular forms and application to neutrino mass models
• Modular $S_4\times SU(5)$ GUT
• Modular symmetry in the SMEFT
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Flipped SU(5) with modular $A_4$ symmetry
• Leptogenesis in $SO(10)$ Models with $A_4$ Modular Symmetry
• Flavor mixing and CP violation from the interplay of $S_4$ modular group and gCP
• Two A4 modular symmetries for Tri-Maximal 2 mixing
• Two A5 modular symmetries for Golden Ratio 2 mixing
• Lepton mass matrix from double covering of $A_4$ modular flavor symmetry
• $SO(10)$ models with $A_4$ modular symmetry
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry
• LHC signatures of sterile neutrinos in a minimal radiative extended seesaw framework