Abstract
We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus. We study the possibilities that these models realize realistic values of neutrino masses and lepton mixing angles.
Highlights
One of the unsolved but important mysteries in particle physics is the mystery about the flavor structure of the quarks and leptons, such as the generation number, mass hierarchy, and mixing angles
Many models have been proposed imposing non-Abelain discrete flavor symmetries, e.g., S3, A4, S4 and other various finite groups. (See for review [1,2,3,4].) In particular, the lepton sector has been intensively studied, because at least two of three lepton mixing angles are large compared with the quark mixing angles, and their experimental results have been improved precisely
In Appendix, we briefly review modular functions and show modular functions corresponding to the A4 triplet and the S3 doublet
Summary
One of the unsolved but important mysteries in particle physics is the mystery about the flavor structure of the quarks and leptons, such as the generation number, mass hierarchy, and mixing angles. Such a mystery would provide us with hints to explore physics beyond the standard model. Modular transformations act nontrivially on string modes and interchange massless modes such as quarks and leptons to each other In this sense, modular symmetry is a non-Abelain discrete flavor symmetry. In Appendix, we briefly review modular functions and show modular functions corresponding to the A4 triplet and the S3 doublet
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: 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.
