Studying ${\epsilon }^{\prime }/\epsilon$ in the Chiral Quark Model: ${\gamma }_5$-Scheme Independence and NLO Hadronic Matrix Elements

Abstract

We study the $CP$-violating, $|\Delta S|=1$ parameter ${\epsilon }^{\prime }/\epsilon$ by computing the hadronic matrix elements in the chiral quark model. We estimate the coefficients of the next-to-leading order terms in the chiral expansion that correspond to the operators $Q_6$ and $Q_{11}$. We consider the impact of these corrections on the value of ${\epsilon }^{\prime }/\epsilon$. We also investigate the possibility that the chiral quark model might drastically reduce the dimensional regularization ${\gamma }_5$-scheme dependence of current evaluations of ${\epsilon }^{\prime }/\epsilon$.

38 pages, LATEX, including 4 eps figures

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Cited by in corpus (57)

• Weak Decays Beyond Leading Logarithms
• Kaon Decays in the Standard Model
• Connections between epsilon'/epsilon and Rare Kaon Decays in Supersymmetry
• Estimating epsilon'/epsilon. A Review
• The Standard Model Prediction for epsilon'/epsilon
• Combining Direct & Indirect Kaon CP Violation to Constrain the Warped KK Scale
• ${\epsilon }^{\prime }/\epsilon$ at $O(p^4)$ in the Chiral Expansion
• Standard Model Confronting New Results for epsilon'/epsilon
• Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays
• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• Final State Interactions in Kaon Decays
• Direct CP violation and the $\Delta I=1/2$ rule in $K\to \pi \pi$ decay from the Standard Model
• Singularity-free Next-to-leading Order $\Delta S=1$ Renormalization Group Evolution and ${\epsilon }_K^{\prime }/{\epsilon }_K$ in the Standard Model and Beyond
• The $\Delta I=1/2$ Selection Rule
• Kaon CP violation and neutron EDM in the minimal left-right symmetric model
• The $\Delta S=1$ Weak Chiral Lagrangian as the Effective Theory of the Chiral Quark Model
• ${\epsilon }^{\prime }/\epsilon$ from charged-Higgs-induced gluonic dipole operators
• CP Violation in Hyperon Decays from Supersymmetry
• A New Estimate of ${\epsilon }^{\prime }/\epsilon$
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Epsilon' from supersymmetry with non universal A terms?
• Direct CP violation in K->3pi decays induced by SUSY chromomagnetic penguins
• A short look at epsilon'/epsilon
• New physics in ε' from chromomagnetic contributions and limits on Left-Right symmetry
• Nonfactorizable contributions to the decay mode D^0 -> K^0 \bar{K^0}
• Precision Flavour Physics and Supersymmetry
• A Heavy-Light Chiral Quark Model
• A New Estimate of ${\epsilon }^{\prime }/\epsilon$
• $K\to \pi \pi$ and $K-\pi$ Matrix Elements of the Chromomagnetic Operators from Dual QCD
• $K\to \pi$ matrix elements of the chromomagnetic operator on the lattice
• Constraints on the Mass and Mixing of the 4th Generation Quark From Direct CP Violation${\epsilon }^{\prime }/\epsilon$ and Rare K Decays
• The chromomagnetic operator on the lattice
• A gluonic mechanism for B --> D eta'
• K -> pi matrix elements of the chromagnetic operator on the lattice
• The Strong Isospin-Breaking Correction for the Gluonic Penguin Contribution to epsilon'/epsilon at Next-to-Leading Order in the Chiral Expansion
• Color suppressed contributions to the decay modes B_{d,s} -> D_{s,d} D_{s,d}, B_{d,s} -> D_{s,d} D^*_{s,d}, and B_{d,s} -> D^*_{s,d} D^*_{s,d}
• The self-penguin contribution to $K\to 2\pi$
• On the Colour Suppressed Decay Modes B^0 --> D_s^+ D_s^- and B_s^0 --> D^+ D^-
• epsilon'/epsilon in the Standard Model
• Electromagnetic penguin operators and direct CP violation in K --> pi l^+ l^-
• Contribution to ${\epsilon }^{\prime }/\epsilon$ from anomalous gauge couplings
• Nonstandard order parameters and the origin of CP violation
• Chiral Limit Prediction for epsilon'/epsilon at NLO in 1/N_c
• The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model
• Theoretical status of epsilon'/epsilon
• On CP-Odd Effects in K_L \to 2πand K^{\pm} \to π^{\pm} π^{\pm} π^{\mp} Decays Generated by Direct CP Violation
• Non-factorizable contribtion to $\overline{B_d^0}\to {\pi }^0{D}^0$
• Charge asymmetry in K+- --> π+-γγinduced by the electromagnetic penguin operators
• CP violation in the hyperon decays $\Sigma \to N\pi$
• Comment on the Matrix Element of $O_{11}$
• On the Decay Modes $\overline{B_{d,s}^0}\to \gamma D^{\ast 0}$
• New Dipole Penguin Contribution to K --> pi pi decays
• Final State Interactions and eps'/eps
• Theoretical status of epsilon'/epsilon
• CP-violating asymmetry in $\Lambda \to p\pi$ in the Skyrme model
• On the color suppressed contribution to $\bar{B_{d}^0} \rightarrow \, π^0 π^{0}
• Non-factorizable contributions to $\overline{B_d^0}\to D_s^{(\ast )}\overline{D_s^{(\ast )}}$