Linear seesaw model with a modular $S_4$ flavor symmetry

Abstract

We discuss a linear seesaw model with as minimum field content as possible, introducing a modular $S_4$ with the help of gauged $U(1{)}_{B-L}$ symmetries. Due to rank two neutrino mass matrix, we have a vanishing neutrino mass eigenvalue, and only the normal mass hierarchy of neutrinos is favored through the modular $S_4$ symmetry. In our numerical $\Delta {\chi }^2$ analysis, we especially find rather sharp prediction on sum of neutrino masses to be around $60$ meV in addition to the other predictions.

21 pages, two tables, three figures; version accepted for publication in Chinese Physics C

References in corpus (4)

• Unification of Flavor, CP, and Modular Symmetries
• Spontaneous CP violation by modulus $\tau$ in $A_4$ model of lepton flavors
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Adjoint SU(5) GUT model with Modular $S_4$ Symmetry

Cited by in corpus (3)

• Flavor Structures of Quarks and Leptons from Flipped SU(5) GUT with $A_4$ Modular Flavor Symmetry
• 4D modular flavor symmetric models inspired by higher dimensional theory
• Discrete symmetries and Efficient Counting of Operators