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Title: Strong CP and flavor in multi-Higgs theories
We introduce a class of multi-Higgs doublet extensions of the Standard Model that solve the strong C P problem with profound consequences for the flavor sector. The Yukawa matrices are constrained to have many zero entries by a “Higgs-flavor” symmetry, G HF , that acts on Higgs and quark fields. The violation of both C P and G HF occurs in the Higgs mass matrix so that, for certain choices of G HF charges, the strong C P parameter θ ¯ is zero at tree level. Radiative corrections to θ ¯ are computed in this class of theories. They vanish in realistic two-Higgs doublet models with G HF = Z 3 . We also construct realistic three-Higgs models with G HF = U ( 1 ) , where the one-loop results for θ ¯ are model-dependent. Requiring θ ¯ < 10 10 has important implications for the flavor problem by constraining the Yukawa coupling and Higgs mass matrices. Contributions to θ ¯ from higher-dimension operators are computed at one loop and can also be sufficiently small, although the hierarchy problem of this class of theories is worse than in the Standard Model.  more » « less
Award ID(s):
2210390
PAR ID:
10635143
Author(s) / Creator(s):
; ;
Publisher / Repository:
American Physical Society
Date Published:
Journal Name:
Physical Review D
Volume:
111
Issue:
11
ISSN:
2470-0010
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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