Quarks at the modular S 4 cusp

Autor: I. de Medeiros Varzielas, M. Levy, J. T. Penedo, S. T. Petcov
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 9, Pp 1-40 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP09(2023)196
Popis: 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.
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