A Critical Study of the B -> K πPuzzle

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Abstract
In the light of new experimental results on B -> K \pi decays, we critically study the decay processes B -> K \pi in a phenomenological way. Using the quark diagram approach and the currently available data, we determine the allowed values of the relevant theoretical parameters, corresponding to the electroweak (EW) penguin, the color-suppressed tree contribution, etc. In order to find the most likely values of the parameters in a statistically reliable way, we use the \chi^2 minimization technique. Our result shows that the current data strongly indicate a large enhancement of the color-suppressed tree contribution, while it is not certain that a large enhancement of the EW penguin is indicated by the data. However, within the present experimental limits, it is still possible that the EW penguin and color-suppressed tree contributions would be simultaneously enhanced. We also find that the relation \delta^T =\delta^{EW} possibly holds within the current experimental limits, or if there is any deviation from the relation, it would be less than 10^\circ.

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