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arXiv 1106.0103hep-ph
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PQCD方法中B_s \to K^*_0(1430)ρ(ω,ω)衰变的分支比和CP不对称性

Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)ρ(ω,ϕ) Decays in the PQCD Approach

Zhi-Qing Zhang

摘要:

在$K_0^{*}(1430)$的双夸克模型假设下,将其看作第一激发态(场景I)或最低激发态(场景II),利用微扰QCD分解方法研究了$\bar B_s^0\to K^{*0}_0(1430)ϕ, K^{*0}_0(1430)ω, K^{*0}_0(1430)ρ^0, K^{*+}_0(1430)ρ^-$衰变的分支比和CP直接破坏不对称性.我们发现以下结果:(a)在具有大Wilson系数$a_1=C_2+C_1/3$的色允许树振幅的增强下,$\bar B_s^0\to K^{*+}_0(1430)ρ^-$的分支比远大于其他三种衰变的分支比,在场景I中达到$(3.4^{+0.8}_{-0.7})\times 10^{-5}$,甚至在场景II中达到$10^{-4}$级,其直接CP破坏不对称性最小,约为10%,因此该通道在当前LHC-b实验中可能是可测量的,在那里,每年将产生大量(大约$10^{12}$)的$B$介子。这种高统计数据将使测量成为可能。(b)对于衰减模式$\bar B^0_s\to K^{*0}_0(1430)ω, K^{*0}_0(1430)ρ^0$,它们的直接CP破坏不对称性很大,但可能很难测量它们,因为它们的分支比很小,在两种情况下都小于(或接近)$10^{-6}$。例如,在场景I中,这些值是${\cal B}(\bar B_s^0\to K^*_0(1430)ω)=(8.2^{+1.8}_{-1.7})\times 10^{-7}, {\cal B}(\bar B_s^0\to K^*_0(1430)ρ^0)=(9.9^{+2.1}_{-2.0})\times 10^{-7}, \acp^{dir}(\bar B^0_s\to K^{*0}_0(1430)ω)=-24.1^{+2.8}_{-2.5}, \acp^{dir}(\bar B^0_s\to K^{*0}_0(1430)ρ^0)=26.6^{+2.5}_{-2.5}.$(c)对于衰变$\bar B^0_s\to K^*_0(1430)ϕ$,预测的分支比也很小,在两种场景中都是$10^{-7}$的几倍;在首阶没有树贡献,所以它的直接CP违反不对称性自然为零。

英文摘要:

In the two-quark model supposition for $K_0^{*}(1430)$, which can be viewed as either the first excited state (scenario I) or the lowest lying state (scenario II), the branching ratios and the direct CP-violating asymmetries for decays $\bar B_s^0\to K^{*0}_0(1430)ϕ, K^{*0}_0(1430)ω, K^{*0}_0(1430)ρ^0, K^{*+}_0(1430)ρ^-$ are studied by employing the perturbative QCD factorization approach. We find the following results: (a) Enhanced by the color allowed tree amplitude with large Wilson coefficients $a_1=C_2+C_1/3$, the branching ratio of $\bar B_s^0\to K^{*+}_0(1430)ρ^-$ is much larger than those of the other three decays and arrives at $(3.4^{+0.8}_{-0.7})\times 10^{-5}$ in scenario I, even $10^{-4}$ order in scenario II, and its direct CP violating asymmetry is the smallest, around 10%, so this channel might be measurable in the current LHC-b experiments, where a large number (about $10^{12}$) of $B$ mesons will be produced per year. This high statistics will make the measurement possible. (b) For the decay modes $\bar B^0_s\to K^{*0}_0(1430)ω, K^{*0}_0(1430)ρ^0$, their direct CP-violating asymmetries are large, but it might be difficult to measure them, because their branching ratios are small and less than (or near) $10^{-6}$ in both scenarios. For example, in scenario I, these values are ${\cal B}(\bar B_s^0\to K^*_0(1430)ω)=(8.2^{+1.8}_{-1.7})\times 10^{-7}, {\cal B}(\bar B_s^0\to K^*_0(1430)ρ^0)=(9.9^{+2.1}_{-2.0})\times 10^{-7}, \acp^{dir}(\bar B^0_s\to K^{*0}_0(1430)ω)=-24.1^{+2.8}_{-2.5}, \acp^{dir}(\bar B^0_s\to K^{*0}_0(1430)ρ^0)=26.6^{+2.5}_{-2.5}.$ (c) For the decay $\bar B^0_s\to K^*_0(1430)ϕ$, the predicted branching ratios are also small and a few times $10^{-7}$ in both scenarios; there is no tree contribution at the leading order, so its direct CP-violating asymmetry is naturally zero.

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