English

Implications of Recent Measurements of Hadronic Charmless B Decays

High Energy Physics - Phenomenology 2009-10-31 v2 High Energy Physics - Experiment

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 Bπ+πB\to\pi^+\pi^- data indicate that the form factor F0Bπ(0)F_0^{B\pi}(0) is smaller than that predicted by the BSW model, whereas the data of Bωπ,KηB\to\omega\pi, K^*\eta imply that the form factors A0Bω(0),A0BK(0)A_0^{B\omega}(0), A_0^{BK^*}(0) are greater than the BSW model's values. (ii) The tree-dominated modes Bπ+π,ρ0π±,ωπ±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 BϕKB\to\phi K shows that N_c(LR)>3. The data of BKηB\to K\eta' and KηK^*\eta clearly indicate that Nc(LR)Nc(LL)N_c(LR)\gg N_c(LL). (iii) In order to understand the observed suppression of π+π\pi^+\pi^- and non-suppression of KπK\pi modes, both being governed by the form factor F0BπF_0^{B\pi}, the unitarity angle γ\gamma is preferred to be greater than 9090^\circ. By contrast, the new measurement of B±ρ0π±B^\pm\to\rho^0\pi^\pm no longer strongly favors cosγ<0\cos\gamma<0. (iv) The observed pattern Kπ+\ovK0π23Kπ0K^-\pi^+\sim \ov K^0\pi^-\sim {2\over 3}K^-\pi^0 is consistent with the theoretical expectation: The constructive interference between electroweak and QCD penguin diagrams in the Kπ0K^-\pi^0 mode explains why B(BKπ0)>12B(\ovB0Kπ+){\cal B}(B^-\to K^-\pi^0)>{1\over 2}{\cal B}(\ov B^0\to K^-\pi^+). (v) The observation \nc(LL)<3<\nc(LR)\nc(LL)<3<\nc(LR) and our preference for \nc(LL)2\nc(LL)\sim 2 and \nc(LR)6\nc(LR)\sim 6 are justified by a recent perturbative QCD calculation of hadronic rare B decays in the heavy quark limit.

Keywords

Cite

@article{arxiv.hep-ph/9910291,
  title  = {Implications of Recent Measurements of Hadronic Charmless B Decays},
  author = {Hai-Yang Cheng and Kwei-Chou Yang},
  journal= {arXiv preprint arXiv:hep-ph/9910291},
  year   = {2009}
}

Comments

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