An updated analysis of eps'/eps in the standard model with hadronic matrix elements from the chiral quark model

Abstract

We discuss the theoretical and experimental status of the CP violating ratio eps'/eps. We revise our 1997 standard-model estimate-based on hadronic matrix elements computed in the chiral quark model up to O(p^4) in the chiral expansion-by including an improved statistical analysis of the uncertainties and updated determination of the Cabibbo-Kobayashi-Maskawa elements and other short-distance parameters. Using normal distributions for the experimental input data we find Re eps'/eps = (2.2 \pm 0.8) x 10^{-3}, whereas a flat scanning gives 0.9 x 10^{-3} < Re eps'/eps < 4.8 x 10^{-3}. Both results are in agreement with the current experimental data. The key element in our estimate is, as before, the fit of the Delta I=1/2 rule, which allows us to absorb most of the theoretical uncertainties in the determination of the model-dependent parameters in the hadronic matrix elements. Our semi-phenomenological approach leads to numerical stability against variations of the renormalization scale and scheme dependence of the short- and long-distance components. The same dynamical mechanism at work in the selection rule also explains the larger value obtained for \ratio with respect to other estimates. A coherent picture of K -> pi pi decays is thus provided.

15 pages, 11 figures, RevTeX, discussion updated, refs added

References in corpus (20)

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• K0-anti-K0 mixing in the 1/Nc expansion
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• Strong Isospin-Breaking Effects in K-->pi pi at Next-to-Leading Order in the Chiral Expansion
• Electromagnetic Corrections to K->pi pi II - Dispersive Matching
• The Impact of |Delta I|=5/2 Transitions in K-> pi pi Decays
• The Strong Isospin-Breaking Correction for the Gluonic Penguin Contribution to epsilon'/epsilon at Next-to-Leading Order in the Chiral Expansion
• K -> pi pi and a light scalar meson
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Cited by in corpus (32)

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• The Standard Model Prediction for epsilon'/epsilon
• Combining Direct & Indirect Kaon CP Violation to Constrain the Warped KK Scale
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• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• Solving the SUSY Flavour and CP Problems with SU(3) Family Symmetry
• epsilon'/epsilon at the NLO: 10 Years Later
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Hunting down massless dark photons in kaon physics
• Remarks on the hadronic matrix elements relevant to the SUSY K-Kbar mixing amplitude
• Gluino-squark contributions to CP violations in the kaon system
• An exploratory lattice study of DI=3/2 K -> pi pi decays at next-to-leading order in the chiral expansion
• A Heavy-Light Chiral Quark Model
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• Present and Future CP Measurements
• Form factors for semileptonic D decays
• The value of B_K from the experimental data on CP-violation in K-mesons and up-to-date values of CKM matrix parameters
• SUSY contributions to the charge asymmetry in K^+- -> pi^+- l^+ l^- decays
• Direct CP Violation in K-decay and Minimal Left-Right Symmetry Scale
• On CP-Odd Effects in K_L \to 2πand K^{\pm} \to π^{\pm} π^{\pm} π^{\mp} Decays Generated by Direct CP Violation
• Updated Standard Model Prediction for ${\epsilon }^{\prime }/\epsilon$
• The Isgur-Wise Function within a Modified Heavy-Light Chiral Quark Model
• Enhancement of epsilon'/epsilon in the SU(2)_L times SU(2)_R times U(1) model
• Matrix Elements of Light Quarks
• CP violation in $K^{\pm }\to {\pi }^0{\pi }^0{\pi }^{\pm }$ decay
• Vector Meson Contributions in epsilon'/epsilon
• Chiral Logarithms in $\Delta S=1$ Kaon Decay Amplitudes in General Effective Flavor Theories