$\epsilon'/\epsilon$ from charged-Higgs-induced gluonic dipole operators

TL;DR

This paper investigates how charged-Higgs-induced gluonic dipole operators can account for the observed direct CP violation in Kaon decays within a specific two-Higgs-doublet model, considering various experimental constraints.

Contribution

It demonstrates that charged-Higgs-induced gluonic dipole operators can explain the measured $ ext{Re}(rac{ ext{epsilon}'}{ ext{epsilon})}$ in Kaon decays, incorporating recent matrix element calculations and experimental constraints.

Findings

Charged-Higgs-induced gluonic dipole operators can explain $ ext{Re}(rac{ ext{epsilon}'}{ ext{epsilon})}$.

The model remains consistent with constraints from $ ext{K}^0-ar{ ext{K}}^0$ mixing, $B o X_s o ext{gamma}$, and $ ext{epsilon}$.

Recent matrix element calculations support the viability of this explanation.

Abstract

We study the effect of charged-Higgs-induced chromomagnetic operator, $Q_{8G}(-) \equiv \bar s \sigma^{\mu \nu} T^a \gamma_5 d G^a_{\mu \nu}$, on the Kaon direct CP violation $Re(\epsilon'/\epsilon)$. Using the matrix element $\langle \pi \pi | O_{8G}(-) | K^0 \rangle$ 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 $Re(\epsilon'/\epsilon)$ when the constraints from the relevant low energy flavor physics, such as $\Delta B(K)=2$, $B\to X_s \gamma$, and Kaon indirect CP violation parameter $\epsilon$, are included.