Neutrino mass model with a modular $S_4$ symmetry

Abstract

We propose a predictive lepton model under a modular $S_4$ symmetry, where the neutrino mass matrix arises from a radiative seesaw at one-loop level. The tree-level mass matrix is forbidden by well-assigned modular weights, which also play an important role in stabilizing dark matter candidate due to a remnant $Z_2$ symmetry even after breaking the modular symmetry. Supposing three families of the Majorana neutrinos, right-handed charged-leptons and left-handed charged-leptons to be embedded respectively into singlet, doublet, and triplet under $S_4$, we obtain the predictive mass matrices in the normal hierarchy. Then, we show our numerical results such as phases, mixings, and neutrino masses, applying ${\chi }^2$ analysis. We also demonstrate two sample points, imposing on minimizing ${\chi }^2$ and best fit value of ${\delta }_{CP}^{\ell }$ of $195^{\circ }$.

arXiv comment14 pages, 3 figures, 3 tables.; Modified model: Reanalyzed, appendix added; Modified model

Cited by in corpus (20)

• Double Cover of Modular $S_4$ for Flavour Model Building
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry
• Eclectic Flavor Groups
• Revisiting modular symmetry in magnetized torus and orbifold compactifications
• Lepton Flavor Mixing and CP Violation in the Minimal Type-(I+II) Seesaw Model with a Modular $A_4$ Symmetry
• 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
• $CP$ violation in modular invariant flavor models
• A radiative seesaw model with three Higgs doublets in modular $A_4$ symmetry
• Classification of discrete modular symmetries in Type IIB flux vacua
• Fermion masses and mixing in modular A4 Symmetry
• Modular symmetry in the SMEFT
• Inverse seesaw in $A_5^{\prime }$ modular symmetry
• Quark and lepton flavors with common modulus $\tau$ in $A_4$ modular symmetry
• Inverse Seesaw Model with a Modular $S_4^{}$ Symmetry: Lepton Flavor Mixing and Warm Dark Matter
• 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
• Muon $g-2$, dark matter, and neutrino mass explanations in a modular $A_4$ symmetry