A precise sum rule among four B→Kπ CP asymmetries

A sum rule relation is proposed for direct CP asymmetries in B ->. 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(CP)(B-0 -> K(0)pi(0)) = -0.17 +/- 0.06 using current asymmetry measurements for the other three B -> K pi decays. A violation of the sum rule would be evidence for new physics in b -> s (q) over barq transitions. (c) 2005 Elsevier B.V. All rights reserved.