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arXiv 2203.09997hep-ph
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光锥求和规则下的半轻子$B_{s}\to K_0^*(1430)$跃迁

Semileptonic $B_{s}\to K_0^*(1430)$ transitions with the light-cone sum rules

R. Khosravi

摘要:

在$\rm SU(3)_F$对称性极限下,利用$B^{\pm}$介子的二粒子和三粒子分布振幅,在光锥求和规则框架下计算了半轻子$B_{s}\to K_{0}^*(1430)$衰变的跃迁形状因子.两粒子分布振幅$φ_{_{+}}(ω)$和$φ_{_{-}}(ω)$对形状因子$f_{+}(q^2)$、$f_{-}(q^2)$和$f_{T}(q^2)$的估计具有最重要的贡献。对$φ_{_+}(ω)$行为的了解仍然相当有限。因此,我们考虑三种不同的参数化的$φ_{_+}(ω)$的形状是来自唯象模型。利用形状因子$f_{+}$,$f_{-}$和$f_{T}$,分析了半轻子$B_s \to K_0^*(1430) l \bar{ν_{l}}$和$B_s \to K_0^*(1430) l \bar{l}/ν\barν$,$l=e, μ, τ$衰变.计算了上述衰变的支化率和轻子的纵向极化不对称性。我们的结果与其他方法的预测之间的比较。

英文摘要:

In the $\rm SU(3)_F$ symmetry limit, using two- and three-particle distribution amplitudes of $B^{\pm}$-meson for $B_s$, the transition form factors of semileptonic $B_{s}\to K_{0}^*(1430)$ decays are calculated in the framework of the light-cone sum rules. The two-particle distribution amplitudes, $φ_{_{+}}(ω)$ and $φ_{_{-}}(ω)$ have the most important contribution in estimation of the form factors $f_{+}(q^2)$, $f_{-}(q^2)$ and $f_{T}(q^2)$. The knowledge of the behavior of $φ_{_+}(ω)$ is still rather limited. Therefore, we consider three different parametrizations for the shapes of $φ_{_+}(ω)$ that are derived from the phenomenological models. Using the form factors $f_{+}$, $f_{-}$ and $f_{T}$, the semileptonic $B_s \to K_0^*(1430) l \bar{ν_{l}}$ and $B_s \to K_0^*(1430) l \bar{l}/ν\barν$, $l=e, μ, τ$ decays are analyzed. The branching fractions for the aforementioned decays, in addition the longitudinal lepton polarization asymmetries are calculated. A comparison between our results with predictions of other approaches is provided.

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