Constraints on the phase γ\gamma and new physics from B→KπB\to K\pi Decays

Recent results from CLEO on $B\to K\pi$ indicate that the phase $\gamma$ may be substantially different from that obtained from other fit to the KM matrix elements in the Standard Model. We show that $\gamma$ extracted using $B\to K\pi, \pi\pi$ is sensitive to new physics occurring at loop level. It provides a powerful method to probe new physics in electroweak penguin interactions. Using effects due to anomalous gauge couplings as an example, we show that within the allowed ranges for these couplings information about $\gamma$ obtained from $B\to K \pi, \pi\pi$ can be very different from the Standard Model prediction.Comment: Revised version with analysis done using new data from CLEO. RevTex, 11 Pages with two figure

A New Prediction for Direct CP Violation \epsilon'/\epsilon and \Delta I = 1/2 Rule

The low energy dynamics of QCD is investigated with special attention paid to the matching between QCD and chiral perturbation theory(ChPT), and also to some useful algebraic chiral operator relations which survive even when we include chiral loop corrections. It then allows us to evaluate the hadronic matrix elements below the energy scale $\Lambda_{\chi} \simeq 1$ GeV. Based on the new analyzes, we present a consistent prediction for both direct CP-violating parameter $\epsilon'/\epsilon$ and $\Delta I =1/2$ rule in the kaon decays. In the leading $1/N_c$ approximation, the isospin amplitudes $A_0$ and $A_2$ are found to agree well with the data, and the direct CP-violating parameter $\epsilon'/\epsilon$ is predicted to be large, which also confirms our early conclusion. Its numerical value is $\epsilon'/\epsilon = 23.6^{+12.4}_{-7.8}\times 10^{-4}(Im\lambda_t/1.2\times 10^{-4})$ which is no longer sensitive to the strange quark mass due to the matching conditions. Taking into account a simultaneous consistent analysis on the isospin amplitudes $A_0$ and $A_2$, the ratio $\epsilon'/\epsilon$ is in favor of the values $\epsilon'/\epsilon = (20\pm 9)\times 10^{-4}$.Comment: 19 pages, ReVtex, no figures, the corrected version to be published in Phys. Rev. D . A more favorable and consistent prediction for direct CP violation is found: epsilon'(prime) /epsilon = (20 \pm 9) x 10^-4, here the contributions from finite meson masses and new isospin symmetry breaking effects have been included. The uncertainties from QCD (or low energy) scale have been considered. More references are adde