Abstract
The Kaon direct CP violation Re(ϵ ′ K /ϵK) below the experimental data of a 2σ in the standard model, which is calculated using the RBC-UKQCD lattice and a large Nc dual QCD, indicates the necessity of a new physics effect. In order to resolve the insufficient Re(ϵ ′ K /ϵK), we study the charged-Higgs contributions in a generic two-Higgs-doublet model. If we assume that the origin of the CP-violation phase is uniquely from the Kobayashi-Maskawa (KM) phase when the constraints from the B- and K-meson mixings, B → Xsγ, and Kaon indirect CP violating parameter ϵK are simultaneously taken into account, it is found that the Kaon direct CP violation through the charged-Higgs effects can reach Re(ϵ ′ K /ϵK)H ± ∼ 8 × 10− 4. Moreover, with the constrained values of the parameters, the branching ratios of the rare \( K\to \pi \nu \overline{\nu} \) decays can be \( BR\left({K}^{+}\to\ {\pi}^{+}\nu \overline{\nu}\right)\sim 13 \times 1{0}^{-11} \) and \( BR\left({K}_L\to {\pi}^0\nu \overline{\nu}\right)\sim 3.6\times 1{0}^{-11} \), where the results can be tested through the NA62 experiment at CERN and the KOTO experiment at J-PARC, respectively.
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Chen, CH., Nomura, T. Re(ϵ ′ K /ϵK) and \( K\to \pi \nu \overline{\nu} \) in a two-Higgs doublet model. J. High Energ. Phys. 2018, 145 (2018). https://doi.org/10.1007/JHEP08(2018)145
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DOI: https://doi.org/10.1007/JHEP08(2018)145