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arXiv 1109.6786hep-ph
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B介子中夸克-胶子三体分量的QCD求和规则

QCD sum rules for quark-gluon three-body components in the B meson

Tetsuo Nishikawa, Kazuhiro Tanaka

摘要:

讨论了重夸克有效理论参数$λ_E$和$λ_H$的QCD求和规则计算,它们对应于$B$ -介子波函数中代表夸克-胶子三体分量的矩阵元.我们导出了$λ_{E,H}$计算新的高阶QCD修正的求和规则,即,5维夸克-胶子混合凝聚的Wilson系数的$α_s$阶辐射修正和6维真空凝聚的功率修正。我们发现,新的辐射修正显着提高了相应的Borel求和规则的稳定性,并导致$λ_{E,H}$的值的减少。我们还讨论了重整化群对求和规则的改进,并给出了对$λ_{E,H}$值的更新。

英文摘要:

We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $λ_E$ and $λ_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive the sum rules for $λ_{E,H}$ calculating the new higher-order QCD corrections, i.e., the order $α_s$ radiative corrections to the Wilson coefficients associated with the dimension-5 quark-gluon mixed condensates, and the power corrections due to the dimension-6 vacuum condensates. We find that the new radiative corrections significantly improve the stability of the corresponding Borel sum rules and lead to the reduction of the values of $λ_{E,H}$. We also discuss the renormalization-group improvement for the sum rules and present update on the values of $λ_{E,H}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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