Model-independent electroweak penguins in B decays to two pseudoscalars

Abstract

We study the effects of electroweak penguin (EWP) amplitudes in $B$ meson decays into two charmless pseudoscalars in the approximation of retaining only the dominant EWP operators $Q_9$ and $Q_{10}$. Using flavor SU(3) symmetry, we derive a set of model-independent relations between EWP contributions and tree-level decay amplitudes one of which was noted recently by Neubert and Rosner. Two new applications of these relations are demonstrated in which uncertainties due to EWP corrections are eliminated in order to determine a weak phase. Whereas the weak angle $\alpha$ can be obtained from $B\to \pi \pi$ free of hadronic uncertainties, a determination of $\gamma$ from $B^{0,\pm }\to K{\pi }^{\pm }$ requires the knowledge of a ratio of certain tree-level hadronic matrix elements. The smallness of this ratio implies a useful constraint on $\gamma$ if rescattering can be neglected.

17 pages ReVTeX with one included eps figure

References in corpus (11)

• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Determination of the Weak Phase gamma from Rate Measurements in B^+- -> pi K, pi pi Decays
• New Bound on gamma from B^+- -> pi K Decays
• The Possibility of Large Direct CP Violation in B to K pi-Like Modes Due to Long Distance Rescattering Effects and Implications for the Angle gamma
• Final State Interactions and New Physics in B -> pi K Decays
• Weak Phase $\gamma$ From Ratio of $B\to K\pi$ Rates
• Rescattering Effects, Isospin Relations and Electroweak Penguins in B -> pi K Decays
• Isospin amplitudes and CP violation in $(B\to K\pi )$ decays
• Rescattering Information from $B\to K\bar{K}$ Decays
• Controlling Rescattering Effects in Constraints on the CKM Angle $\gamma$ arising from $B\to \pi K$ Decays
• Final State Interaction Phases in $B\to K\pi$ Decay Amplitudes

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