${\epsilon }^{\prime }/\epsilon$ from charged-Higgs-induced gluonic dipole operators

Abstract

We study the effect of charged-Higgs-induced chromomagnetic operator, $Q_{8G}(-)\equiv \bar{s}{\sigma }^{\mu \nu }{T}^a{\gamma }_{5}d{G}_{\mu \nu }^a$, on the Kaon direct CP violation $Re({\epsilon }^{\prime }/\epsilon )$. Using the matrix element $⟨\pi \pi |O_{8G}(-)|K^0⟩$ 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 $Re({\epsilon }^{\prime }/\epsilon )$ 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.

15 pages, 4 figures, version accepted for publication in Physics Letters B

References in corpus (6)

• Precise Measurements of Direct CP Violation, CPT Symmetry, and Other Parameters in the Neutral Kaon System
• $K\to \pi \pi$ $\Delta I=3/2$ decay amplitude in the continuum limit
• Constraint on the branching ratio of B_c \to tau nu from LEP1 and consequences for R(D(*)) anomaly
• An ${\epsilon }^{\prime }$ improvement from right-handed currents
• Chargino contributions in light of recent ${\epsilon }^{\prime }/\epsilon$
• $K\to \pi$ matrix elements of the chromomagnetic operator on the lattice

Cited by in corpus (15)

• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• $b\to s{\ell }^{+}{\ell }^{-}$ Transitions in Two-Higgs-Doublet Models
• Master formula for ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Correlating ${\epsilon }^{\prime }/\epsilon$ to hadronic $B$ decays via $U(2{)}^3$ flavour symmetry
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Left-handed color-sextet diquark in the Kaon system
• Common explanation to the $R_{K^{(\ast )}}$, $R_{D^{(\ast )}}$ and ${\epsilon }^{\prime }/\epsilon$ anomalies in a 3HDM+${\nu }_R$ and connections to neutrino physics
• BSM Hadronic Matrix Elements for ${\epsilon }^{\prime }/\epsilon$ and $K\to \pi \pi$ Decays in the Dual QCD Approach
• Simultaneous interpretation of $K$ and $B$ anomalies in terms of chiral-flavorful vectors
• The direct CP violation in a general two Higgs doublet model
• Effect of the Pauli exclusion principle in the electric dipole moment of ${}^9$Be with $|\Delta S|=1$ interactions
• ${\epsilon }_K$ and ${\epsilon }^{\prime }/\epsilon$ in a diquark model
• Strange processes in general two Higgs doublet model
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$