Quarks at the modular S₄ cusp

2023/07/26 by Ivo de Medeiros Varzielas, Varzielas, I. de Medeiros, M. Levy +5
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2307.14410

openalex publication_date 2023/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse the possibility of describing quark masses, mixing and CP violation in S'₄ modular flavour models without flavons. We focus on the case where the closeness of the modulus to the point of residual ℤ^ST₃ symmetry (the cusp) plays a role in generating quark mass hierarchies and discuss the role modular form normalisations play in such constructions. We find that fitting quark data requires explicit CP breaking, unless a second modulus is introduced.

Related

• A₄ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point τ= i∞
• Quark masses and CKM hierarchies from S₄^′ modular flavor symmetry
• A₄ modular invariance and the strong CP problem
• Quark and lepton flavors with common modulus τ in A₄ modular symmetry
• CP phase in modular flavor models and discrete Froggatt-Nielsen models