Quarks at the modular S 4 cusp

Abstract We analyse the possibility of describing quark masses, mixing and CP violation in S 4 ′ $$ {S}_4^{\prime } $$ modular flavour models without flavons. We focus on the case where the closeness of the modulus to the point of residual ℤ 3 ST $$ {\mathbb{Z}}_3^{ST} $$ symmetry (the cusp) plays a...

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Published inThe journal of high energy physics Vol. 2023; no. 9; pp. 1 - 40
Main Authors I. de Medeiros Varzielas, M. Levy, J. T. Penedo, S. T. Petcov
Format Journal Article
LanguageEnglish
Published SpringerOpen 01.09.2023
Subjects
Discrete Symmetries
Theories of Flavour
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Summary:Abstract We analyse the possibility of describing quark masses, mixing and CP violation in S 4 ′ $$ {S}_4^{\prime } $$ modular flavour models without flavons. We focus on the case where the closeness of the modulus to the point of residual ℤ 3 ST $$ {\mathbb{Z}}_3^{ST} $$ 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
DOI:10.1007/JHEP09(2023)196