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• W2036564680 abstract "We discuss the theoretical and experimental status of the $mathrm{CP}$ violating ratio ${ensuremath{varepsilon}}^{ensuremath{'}}/ensuremath{varepsilon}.$ 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 $mathrm{Re}{ensuremath{varepsilon}}^{ensuremath{'}}/ensuremath{varepsilon}=(2.2ifmmodepmelsetextpmfi{}0.8)ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}3},$ whereas a flat scanning gives $0.9ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}3}<mathrm{Re}mathrm{}{ensuremath{varepsilon}}^{ensuremath{'}}/ensuremath{varepsilon}<4.8ifmmodetimeselsetexttimesfi{}{10}^{ensuremath{-}3}.$ Both results are in agreement with the current experimental data. The key element in our estimate is, as before, the fit of the $ensuremath{Delta}I=1/2$ 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 semiphenomenological 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 ${ensuremath{varepsilon}}^{ensuremath{'}}/ensuremath{varepsilon}$ with respect to other estimates. A coherent picture of $stackrel{ensuremath{rightarrow}}{K}ensuremath{pi}ensuremath{pi}$ decays is thus provided." @default.
• W2036564680 created "2016-06-24" @default.
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• W2036564680 date "2001-02-06" @default.
• W2036564680 modified "2023-10-13" @default.
• W2036564680 title "Updated analysis ofɛ′/ɛin the standard model with hadronic matrix elements from the chiral quark model" @default.
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• W2036564680 doi "https://doi.org/10.1103/physrevd.63.056009" @default.
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