论文标题

$ b $ -Meson发行幅度的参数的QCD总和规则

QCD sum rules for parameters of the $B$-meson distribution amplitudes

论文作者

Rahimi, Muslem, Wald, Marcel

论文摘要

We obtain new estimates for the parameters $λ_{E}^2$, $λ_H^2$ and their ratio $\mathcal{R} = λ_{E}^2/λ_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the heavy-quark effective field theory.该计算基于对角线相关函数的两点QCD总规则,其中包括运算符产品扩展中质量七的所有贡献。对于该比率,我们得到$ \ Mathcal {r} =(0.1 \ pm 0.1)$,$λ_H^2 =(0.15 \ pm 0.05)\,\ text {gev}^2 $ and $λ_e^2 =(0.01 \ pm 0.01 \ pm 0.01)

We obtain new estimates for the parameters $λ_{E}^2$, $λ_H^2$ and their ratio $\mathcal{R} = λ_{E}^2/λ_H^2$, which appear in the second moments of the $B$-meson light-cone distribution amplitudes defined in the heavy-quark effective field theory. The computation is based on two-point QCD sum rules for the diagonal correlation function and includes all contributions up to mass dimension seven in the operator-product expansion. For the ratio we get $\mathcal{R} = (0.1 \pm 0.1)$ with $λ_H^2 = (0.15 \pm 0.05) \, \text{GeV}^2$ and $λ_E^2 = (0.01 \pm 0.01) \, \text{GeV}^2$.

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