B衰变湮灭矩阵元的研究

The Study of annihilation matrix element in B decay

本文基于光锥求和规则计算了在2粒子3扭度领头阶下的B→ρπ的弱湮灭形状因子。我们在类时区域构造了一个解析的关联函数,通过强子部分与QCD部分相匹配,仅保留基态贡献,利用夸克-强子对偶原理去掉B→ρπ振幅中高激发态的贡献。通过Borel变换后我们得到在大的类空区域的B→ρπ的弱湮灭形状因子,然后推广到类时区域Q2=mB2,得到B→ρπ在类时空间的弱湮灭形状因子。

using the method of QCD light-cone sum rule, we calculated B→ρπ weak annihilation form factors at two-particle and twist-2 leading order accuracy.Constructing a analytical correlation function in space-like region. Matching this relation to the result of QCD calculation, we retain only the pion contribution and replace the sum over heavier states by a quark-hadron duality estimate. After Borel transformation we obtain the LCSR for the weak annihilation form factors at large space-like Continuing it to large time-like , we get the weak annihilation form factors.