The ratio of branching fractions , where is an electron or muon, is measured using a Belle II data sample with an integrated luminosity of at the SuperKEKB asymmetric-energy collider. Data is collected at the resonance, and one meson in the decay is fully reconstructed in hadronic decay modes. The accompanying signal meson is reconstructed as using leptonic decays. The normalization decay, , produces the same observable final-state particles. The ratio of branching fractions is extracted in a simultaneous fit to two signal-discriminating variables in both channels and yields . This result is consistent with the current world average and with Standard Model predictions. Published by the American Physical Society2024 
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                    This content will become publicly available on June 1, 2026
                            
                            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 problem with profound consequences for the flavor sector. The Yukawa matrices are constrained to have many zero entries by a “Higgs-flavor” symmetry, , that acts on Higgs and quark fields. The violation of both and occurs in the Higgs mass matrix so that, for certain choices of charges, the strong parameter is zero at tree level. Radiative corrections to are computed in this class of theories. They vanish in realistic two-Higgs doublet models with . We also construct realistic three-Higgs models with , where the one-loop results for are model-dependent. Requiring has important implications for the flavor problem by constraining the Yukawa coupling and Higgs mass matrices. Contributions to 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. 
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                            - Award ID(s):
- 2210390
- PAR ID:
- 10635143
- 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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