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arXiv 0811.3101hep-ph
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与单横自旋非对称性相关的扭曲3多部分子关联函数的演化

Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry

Zhong-Bo Kang, Jian-Wei Qiu

摘要:

我们构造了两组扭曲3关联函数,它们在QCD共线分解方法中产生了新的单横自旋不对称性。我们推导出这些通用的三部分子关联函数的演化方程。我们计算了与胶子极对$α_s$量级不对称性贡献相关的演化核。我们发现所有的演化核都是红外安全的,因为它们应该是,并有很多共同点的非极化部分子分布的DGS演化核。通过求解演化方程,我们明确地证明了这些扭曲3关联函数的因子分解尺度依赖性。

英文摘要:

We constructed two sets of twist-3 correlation functions that are responsible for generating the novel single transverse-spin asymmetry in the QCD collinear factorization approach. We derive evolution equations for these universal three-parton correlation functions. We calculate evolution kernels relevant to the gluonic pole contributions to the asymmetry at the order of $α_s$. We find that all evolution kernels are infrared safe as they should be and have a lot in common to the DGLAP evolution kernels of unpolarized parton distributions. By solving the evolution equations, we explicitly demonstrate the factorization scale dependence of these twist-3 correlation functions.

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