Solving the strong CP problem without axions

Autor: Ferruccio Feruglio, Matteo Parriciatu, Alessandro Strumia, Arsenii Titov
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-41 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2024)214
Popis: Abstract We formulate general conditions under which the strong CP problem is solved by spontaneous CP violation. Quark-mass matrix elements are polynomials in the CP-breaking order parameters, engineered such that their determinant is a real constant. This scheme permits only a limited number of textures. These conditions can be realized in supersymmetric theories with CP as an anomaly-free local flavor symmetry, suggesting a unified solution to the strong CP problem and the flavor puzzle. Our solution can be implemented using either modular invariance or a local U(1) symmetry. We present modular-invariant realizations where matter fields are assigned small modular weights ±2 (±1), utilising higher levels N = 2 (N = 3). Heavy quarks are in general not required, but their presence allows for models where colored particles fill non-singlet representations of the flavor group.
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