Difference in B^+ and B^0 Direct CP Asymmetry as Effect of a Fourth Generation
Abstract
Direct CP violation has been measured in B^0\to K^+\pi^- decay to be of order -10%, but the asymmetry in B^+\to K^+\pi^0 mode is consistent with zero. This difference points towards possible New Physics in the electroweak penguin operator. We point out that a sequential fourth generation with sizable V^*_{t^\prime s}V_{t^\prime b} and near maximal phase is a natural cause. We incorporate the t^\prime effects in the perturbative QCD factorization approach, which has successfully predicted direct CP violation in K^+\pi^- mode, and critically compare b\to s\ell^+\ell^-, B_s mixing, and direct CP violation in K^+\pi^0. If the K^+\pi^0-K^+\pi^- asymmetry difference persists, we predict \sin2\Phi_{B_s} to be finite and negative.Keywords
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