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arxiv: hep-ph/0508047 · v3 · submitted 2005-08-03 · ✦ hep-ph

A precise sum rule among four B -> Kpi CP asymmetries

classification ✦ hep-ph
keywords ruleasymmetriesdecaystermsasymmetrycurrentdirectequal
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A sum rule relation is proposed for direct CP asymmetries in $B\to K\pi$ decays. Leading terms are identical in the isospin symmetry limit, while subleading terms are equal in the flavor SU(3) and heavy quark limits. The sum rule predicts $A_{\rm CP}(B^0\to K^0\pi^0)=-0.17 \pm 0.06$ using current asymmetry measurements for the other three $B\to K\pi$ decays. A violation of the sum rule would be evidence for New Physics in $b\to s\bar qq$ transitions.

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