$B\to η^{(\prime)} (\ell^{-} \barν_{\ell}, \ell^{+} \ell^{-}, K, K^*)$ decays in the quark-flavor mixing scheme

dc.creatorAkeroyd, A. G.
dc.creatorChen, Chuan-Hung
dc.creatorGeng, Chao-Qiang
dc.date2007-01-01
dc.date2007-02-08
dc.date.accessioned2026-07-07T11:22:26Z
dc.date.available2026-07-07T11:22:26Z
dc.descriptionIn the quark-flavor mixing scheme, $η$ and $η'$ are linear combinations of flavor states $η_{q}=(u\bar{u}+d\bar{d})/\sqrt{2}$ and $η_{s}=s\bar{s}$ with the masses of $m_{qq}$ and $m_{ss}$, respectively. Phenomenologically, $m_{ss}$ is strictly fixed to be around 0.69, which is close to $\sqrt{2m^{2}_{K}-m^{2}_π}$ by the approximate flavor symmetry, while $m_{qq}$ is found to be $0.18\pm 0.08$ GeV. For a large allowed value of $m_{qq}$, we show that the BRs for $B\to η^{(\prime)} X$ decays with $X=(\ell^{-} \barν_{\ell}, \ell^{+} \ell^{-})$ are enhanced. We also illustrate that $BR(B\toηX)> BR(B\to η^{\prime} X)$ in the mechanism without the flavor-singlet contribution. Moreover, we demonstrate that the decay branching ratios (BRs) for $B\to η^{(\prime)}K^{[*]}$ are consistent with the data. In particular, the puzzle of the large $BR(B\to η^{\prime} K)$ can be solved. In addition, we find that the CP asymmetry for $B^{\pm}\to ηK^{\pm}$ can be as large as -30%, which agrees well with the data. However, we cannot accommodate the CP asymmetries of $B\to ηK^*$ in our analysis, which could indicate the existence of some new CP violating sources.
dc.description18 pages, 4 figures, typos corrected and version revised, version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/hep-ph/0701012
dc.identifierhttp://arxiv.org/abs/hep-ph/0701012
dc.identifierPhys.Rev.D75:054003,2007
dc.identifierdoi:10.1103/PhysRevD.75.054003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194566
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.title$B\to η^{(\prime)} (\ell^{-} \barν_{\ell}, \ell^{+} \ell^{-}, K, K^*)$ decays in the quark-flavor mixing scheme
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