Modular Flavor Symmetry for Lepton Textures
Published:Dec 31, 2025 11:47
•1 min read
•ArXiv
Analysis
This paper explores a specific extension of the Standard Model using modular flavor symmetry (specifically S3) to explain lepton masses and mixing. The authors focus on constructing models near fixed points in the modular space, leveraging residual symmetries and non-holomorphic modular forms to generate Yukawa textures. The key advantage is the potential to build economical models without the need for flavon fields, a common feature in flavor models. The paper's significance lies in its exploration of a novel approach to flavor physics, potentially leading to testable predictions, particularly regarding neutrino mass ordering.
Key Takeaways
- •Proposes a model using modular flavor symmetry (S3) to explain lepton masses and mixing.
- •Focuses on constructing models near fixed points in modular space.
- •Utilizes non-holomorphic modular forms to generate Yukawa textures.
- •Aims to build economical models without flavon fields.
- •Predicts inverted neutrino mass ordering.
Reference
“The models strongly prefer the inverted ordering for the neutrino masses.”