论文标题
$ b $ -Meson iOffe时间分配幅度在短距离
$B$-meson Ioffe-time distribution amplitude at short distances
论文作者
论文摘要
我们提出了使用Parton Pseudo-Distriputions的形式主义的重型介子(例如$ b $ -Meson)进行重灯锥分布幅度(LCDA)的晶格调查的方法。该方法的一个基本要素是研究$ b $ -Meson ioffe-ioffe分配幅度(ITDA)的短途行为,这是对坐标空间中$ b $ -Meson lcda的概括。我们为$ b $ -Meson构建了一个减少的ITDA,并得出了减少的ITDA和LCDA之间的匹配关系。降低的ITDA是紫外线有限的,可以保证在晶格上存在连续限制。
We propose the approach for a lattice investigation of light-cone distribution amplitudes (LCDA) of heavy-light mesons, such as the $B$-meson, using the formalism of parton pseudo-distributions. A basic ingredient of the approach is the study of short-distance behavior of the $B$-meson Ioffe-time distribution amplitude (ITDA), which is a generalization of the $B$-meson LCDA in coordinate space. We construct a reduced ITDA for the $B$-meson, and derive the matching relation between the reduced ITDA and the LCDA. The reduced ITDA is ultraviolet finite, which guarantees that the continuum limit exists on the lattice.