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末态高K共振辐射和半轻子B衰变

Radiative and Semileptonic B Decays Involving Higher K-Resonances in the Final States

Hisaki Hatanaka, Kwei-Chou Yang

备注：
27 pages, 4 figures, 7 tables;contents and figures corrected, title and references revised
发表信息：
Eur.Phys.J.C67:149-162,2010
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摘要：

我们研究了末态下自旋$J$共振$K_J^{(*)}$的辐射和半轻子B衰变，其中$K_J^*$的$(-1)^J$和$K_J$的$(-1)^{J+1}$是宇称。利用大能量有效理论（LEET）方法，我们用两个独立的LEET函数$ζ_\perp^{K_J^{(*)}}$和$ζ_\parallel^{K_J^{(*)}}$表示了大反冲区的$B \to K_J^{(*)}$跃迁形状因子，并在BSW模型中估计了零动量转移时的数值.根据QCD计数规则，$ζ_{\perp,\parallel}^{K_J^{(*)}}$在$q^2$中表现出偶极依赖性。我们预测了$B \to K_J^{(*)} γ$、$B \to K_J^{(*)} \ell^+ \ell^-$和$B \to K_J^{(*)}ν\barν$的衰变率。由于相空间较小和$ζ^{K_J^{(*)}}_{\perp,\parallel}$的值较小，在终态中具有较高$K$ -共振的这些衰变的分支分数被抑制。此外，如果$K_J^{(*)}$的自旋变得更大，则由于由$K_J^{(*)}$的极化张量定义的较小的Clebsch-Gordan系数，分支分数将被进一步抑制。我们还计算了向前向后不对称的$B \to K_J^{(*)} \ell^+ \ell^-$衰减，其中零是高度不敏感的$K$共振的LEET参数化。

英文摘要：

We study the radiative and semileptonic B decays involving a spin-$J$ resonant $K_J^{(*)}$ with parity $(-1)^J$ for $K_J^*$ and $(-1)^{J+1}$ for $K_J$ in the final state. Using the large energy effective theory (LEET) techniques, we formulate $B \to K_J^{(*)}$ transition form factors in the large recoil region in terms of two independent LEET functions $ζ_\perp^{K_J^{(*)}}$ and $ζ_\parallel^{K_J^{(*)}}$, the values of which at zero momentum transfer are estimated in the BSW model. According to the QCD counting rules, $ζ_{\perp,\parallel}^{K_J^{(*)}}$ exhibit a dipole dependence in $q^2$. We predict the decay rates for $B \to K_J^{(*)} γ$, $B \to K_J^{(*)} \ell^+ \ell^-$ and $B \to K_J^{(*)}ν\barν$. The branching fractions for these decays with higher $K$-resonances in the final state are suppressed due to the smaller phase spaces and the smaller values of $ζ^{K_J^{(*)}}_{\perp,\parallel}$. Furthermore, if the spin of $K_J^{(*)}$ becomes larger, the branching fractions will be further suppressed due to the smaller Clebsch-Gordan coefficients defined by the polarization tensors of the $K_J^{(*)}$. We also calculate the forward backward asymmetry of the $B \to K_J^{(*)} \ell^+ \ell^-$ decay, for which the zero is highly insensitive to the $K$-resonances in the LEET parametrization.

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