Towards the control over electroweak penguins in nonleptonic B-decays

Abstract

We present strategies for determining electroweak penguins from experimental data. Using the CKM-angle γ as one of our central inputs and making some reasonable approximations, we show that the b → s electroweak penguin amplitude can be determined in a two-step procedure involving i) BR( B + → π 0 K +), BR( B − → π 0 K −), BR( B + → π + K 0) and ii) either BR( B d 0 → π − K +), BR( B d 0 → π +K −) or a CP( t) of the mode B s → K + K −. The determination employing the B → πK transitions is not affected by SU(3)-breaking effects. Relating the b → s electroweak penguin amplitude to the b → d case through SU(3) symmetry arguments, we are in a position to estimate the electroweak penguin uncertainty affecting the extraction of the CKM-angle α by using isospin relations among B → ππ decays. Our results allow in principle the determination of CKM-phases in a variety of B-decays.