Quarks at the modular S4 cusp

A bstract 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 3 ST symmetry (the cusp) plays a role in generating quark mass hierarchies and...

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Bibliographic Details
Published in:The journal of high energy physics 2023-09, Vol.2023 (9), p.196, Article 196
Main Authors: de Medeiros Varzielas, I., Levy, M., Penedo, J. T., Petcov, S. T.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
CP violation
Cusps
Elementary Particles
Flavor (particle physics)
Hierarchies
High energy physics
Modular construction
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
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Summary:A bstract 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 3 ST 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2023)196