Implications of Recent Measurements of Hadronic Charmless B Decays

Abstract

Implications of recent CLEO measurements of hadronic charmless B decays are discussed. (i) Employing the Bauer-Stech-Wirbel (BSW) model for form factors as a benchmark, the $B\to {\pi }^{+}{\pi }^{-}$ data indicate that the form factor $F_0^{B\pi }(0)$ is smaller than that predicted by the BSW model, whereas the data of $B\to \omega \pi ,K^{\ast }\eta$ imply that the form factors $A_0^{B\omega }(0),A_0^{B{K}^{\ast }}(0)$ are greater than the BSW model's values. (ii) The tree-dominated modes $B\to {\pi }^{+}{\pi }^{-},{\rho }^0{\pi }^{\pm },\omega {\pi }^{\pm }$ imply that the effective number of colors N_c(LL) for (V-A)(V-A) operators is preferred to be smaller, while the current limit on $B\to \varphi K$ shows that N_c(LR)>3. The data of $B\to K{\eta }^{\prime }$ and $K^{\ast }\eta$ clearly indicate that $N_c(LR)\gg N_c(LL)$. (iii) In order to understand the observed suppression of ${\pi }^{+}{\pi }^{-}$ and non-suppression of $K\pi$ modes, both being governed by the form factor $F_0^{B\pi }$, the unitarity angle $\gamma$ is preferred to be greater than $90^{\circ }$. By contrast, the new measurement of $B^{\pm }\to {\rho }^0{\pi }^{\pm }$ no longer strongly favors $\cos \gamma <0$. (iv) The observed pattern $K^-π^+\sim \ov K^0π^-\sim {2\over 3}K^-π^0$ is consistent with the theoretical expectation: The constructive interference between electroweak and QCD penguin diagrams in the $K^{-}{\pi }^0$ mode explains why ${\cal B}(B^-\to K^-π^0)>{1\over 2}{\cal B}(\ov B^0\to K^-π^+)$. (v) The observation $\nc(LL)<3<\nc(LR)$ and our preference for $\nc(LL)\sim 2$ and $\nc(LR)\sim 6$ are justified by a recent perturbative QCD calculation of hadronic rare B decays in the heavy quark limit.

21 pages; CLEO measurements of several charmless B decay modes are updated. Discussion of the unitarity angle gamma in the ρπmode is revised

References in corpus (2)

• New Information on B Decays to Charmless VP Final States
• CLEO measurement of $B\to {\pi }^{+}{\pi }^{-}$ and determination of weak phase $\alpha$

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