arXiv 1101.35922011-01-19hep-ph

关于QCD求和规则下Pionic Twist-3分布振幅的新结果

New results on Pionic Twist-3 Distribution Amplitudes within the QCD Sum Rules

Tao Zhong, Xing-Gang Wu, Jia-Wei Zhang, Yun-Qing Tang, Zhen-Yun Fang

备注：: 9 pages, 6 figures and 6 tables. To be published in Phys.Rev.D
发表信息：: Phys.Rev.D83:036002,2011
DOI：: 10.1103/PhysRevD.83.036002

摘要：

本文提出了一种改进的计算方法，计算了在QCD求和规则下研究的π介子扭转3分布振幅$ϕ^π_{p}$和$ϕ^π_σ$。通过对所有不确定度进行正交叠加，得到了$<ξ^2_p>=0.248^{+0.076}_{-0.052}$、$<ξ^4_p>=0.262^{+0.080}_{-0.055}$、$<ξ^2_σ>=0.102^{+0.035}_{-0.025}$和$<ξ^4_σ>=0.094^{+0.028}_{-0.020}$。利用这些矩，我们构造了一个具有较好端点行为的扭转3波函数$ψ^π_{p,σ}(x,\mathbf{k}_\bot)$模型，这对微扰QCD方法是有帮助的。利用得到的扭曲3分布振幅计算了次-首阶QCD光锥求和规则下的$B\toπ$跃迁形状因子$f^+_{Bπ}$。通过适当地选择参数，我们得到了与文献中得到的一致的$f^+_{Bπ}$。

英文摘要：

We present an improved calculation on the pionic twist-3 distribution amplitudes $ϕ^π_{p}$ and $ϕ^π_σ$, which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that $<ξ^2_p>=0.248^{+0.076}_{-0.052}$, $<ξ^4_p>=0.262^{+0.080}_{-0.055}$, $<ξ^2_σ>=0.102^{+0.035}_{-0.025}$ and $<ξ^4_σ>=0.094^{+0.028}_{-0.020}$. Furthermore, with the help of these moments, we construct a model for the twist-3 wave functions $ψ^π_{p,σ}(x,\mathbf{k}_\bot)$, which have better end-point behavior and are helpful for perturbative QCD approach. The obtained twist-3 distribution amplitudes are adopted to calculate the $B\toπ$ transition form factor $f^+_{Bπ}$ within the QCD light-cone sum rules up to next-to-leading order. By suitable choice of the parameters, we obtain a consistent $f^+_{Bπ}$ with those obtained in the literature.

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。

摘要：

英文摘要：

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