论文标题
$ b $ -Meson Light-Cone分布幅度在Laplace空间中
Evolution of the $B$-Meson Light-Cone Distribution Amplitude in Laplace Space
论文作者
论文摘要
$ b $ -Meson Light-Cone发行幅度是一个管理非扰动性HADRONIC DYDANIC的中心数量，在独家$ B $衰减中。我们表明，以$λ_ {\ rm qcd}/m_b $描述此类过程所需的信息最直接包含在其laplace transform $ \ tildeϕ _+（η）$中。我们得出该函数满足的重归其化组（RG）方程，并提出其精确的解决方案。我们以$ \ tilde ϕ _+（η）$表示，我们对衰减$ b^ - toγ\ ell^ - \barν$的RG改进定理表示，并表明其明确独立于分数化量表。我们在一组不相关的HADRONIC参数方面提出了$ \ tildeϕ _+（η）$的无偏参数化。
The $B$-meson light-cone distribution amplitude is a central quantity governing non-perturbative hadronic dynamics in exclusive $B$ decays. We show that the information needed to describe such processes at leading power in $Λ_{\rm QCD}/m_b$ is most directly contained in its Laplace transform $\tildeϕ_+(η)$. We derive the renormalization-group (RG) equation satisfied by this function and present its exact solution. We express the RG-improved QCD factorization theorem for the decay $B^-\toγ\ell^-\barν$ in terms of $\tildeϕ_+(η)$ and show that it is explicitly independent of the factorization scale. We propose an unbiased parameterization of $\tildeϕ_+(η)$ in terms of a small set of uncorrelated hadronic parameters.
