B -> D-(*) form factors in perturbative QCD
B -> D-(*) form factors in perturbative QCD
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DOI：
10.1103/physrevd.67.054028
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发表时间：
2002-10
影响因子：
5
通讯作者：
T. Kurimoto;Hsiang-nan Li;A. Sanda
中科院分区：
文献类型：
--
作者：
T. Kurimoto;Hsiang-nan Li;A. Sanda
我们在微扰QCD框架下，基于$k_T$分解定理，计算了重夸克和大反冲极限中的形状因子$B到D^{(*)}$，假设层次化的$M_B\gg M_{D^D^(*)}}\GG\bar\Lambda$，其中有$B$介子质量$M_B，$D^^{(*)}$介子质量$M_{D^{(*)}}$，以及重介子和重夸克质量差$\bar\Lambda$。得到了光锥D^((*))$介子波函数的定性行为和与之相关的苏达科夫恢复。由标度$\bar\lambda\sqrt{M_B/M_{D^{(*)}$表征的对D^{(*)}$形状因子的主次方贡献尊重重夸克对称性。在$1/M_B$和$1/M_{D^{(*)}}$中，以大于$\Sqrt{\bar\Lambda M_B}$为特征的次要次方修正估计小于20%。D^(*)}$介子波函数由观测到的$B到D^(*)}L衰变谱确定，可用于预测非轻子衰变，如$B到D^{(*)}\pi(Rho)$。
We calculate the $B\to D^{(*)}$ form factors in the heavy-quark and large-recoil limits in the perturbative QCD framework based on $k_T$ factorization theorem, assuming the hierachy $M_B\gg M_{D^{(*)}}\gg \bar\Lambda$, with the $B$ meson mass $M_B$, the $D^{(*)}$ meson mass $M_{D^{(*)}}$, and the heavy meson and heavy quark mass difference $\bar\Lambda$. The qualitative behavior of the light-cone $D^{(*)}$ meson wave function and the associated Sudakov resummation are derived. The leading-power contributions to the $B\to D^{(*)}$ form factors, characterized by the scale $\bar\Lambda\sqrt{M_B/M_{D^{(*)}}}$, respect the heavy-quark symmetry. The next-to-leading-power corrections in $1/M_B$ and $1/M_{D^{(*)}}$, characterized by a scale larger than $\sqrt{\bar\Lambda M_B}$, are estimated to be less than 20%. The $D^{(*)}$ meson wave function is determined from the fit to the observed $B\to D^{(*)} l\nu$ decay spectrum, which can be employed to make predictions for nonleptonic decays, such as $B\to D^{(*)}\pi(\rho)$.