$ε'/ε$ from charged-Higgs-induced gluonic dipole operators

Abstract

We study the effect of charged-Higgs-induced chromomagnetic operator, $Q_{8G}(-) \equiv \bar s σ^{μν} T^a γ_5 d G^a_{μν}$, on the Kaon direct CP violation $Re(ε'/ε)$. Using the matrix element $\langle ππ| O_{8G}(-) | K^0 \rangle$ recently obtained by a large $N_c$ dual QCD approach, we find that if the Kobayashi-Maskawa phase is the origin of CP violation, the charged-Higgs-induced gluon penguin dipole operator in the type-III two-Higgs-doublet model can explain the measured $Re(ε'/ε)$ when the constraints from the relevant low energy flavor physics, such as $ΔB(K)=2$, $B\to X_s γ$, and Kaon indirect CP violation parameter $ε$, are included.