Renormalization-Group Evolution of the None-local Matrix Element of $B$-meson In QCD and $B\to \pi$ transition form factor

Sheng Lü, Mao-Zhi Yang

We consider the renormalization-group evolution of the matrix element of $⟨0|\bar{q}(z{)}_{\beta }[z,0]b(0{)}_{\alpha }|\bar{B}⟩$, which can be used to define the distribution amplitud…