Abstract

We propose models in which the hierarchical structures of the masses and mixing in both quark and lepton sectors are explained by the S4′ modular flavor symmetry near the fixed point τ∼i∞. The model provides the first explicit example which explains hierarchies of both quarks and leptons from single modular flavor symmetry. The hierarchies are realized by powers of ϵ=e2πiτ/4=O(0.01) and 2Imτ∼5, where τ being the modulus. The small parameter ϵ plays a role of flavon in the Froggatt-Nielsen mechanism under the residual Z4T symmetry, and powers of 2Imτ in the Yukawa couplings are controlled by modular weights via the canonical normalization. The doublet quarks are identified to a S4′ triplet to explain the hierarchical structure of the quark mixing angles, while the doublet leptons are composed of three singlets for the large mixing angles in the lepton sector. We show that the S4′ modular symmetry alone can explain the hierarchies in both quark and lepton sectors by O(1) coefficients.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.