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arXiv 1012.3395hep-ph
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末态相互作用和Sivers函数

Final state interactions and the Sivers function

Leonard Gamberg, Marc Schlegel

摘要:

朴素T-奇部分子分布函数的非零性可以用规范链的存在来解释,规范链是从深度非弹性散射截面的因子化描述中产生的,可以微扰计算的因子和非微扰因子。这个路径有序指数描述了由于软胶子与目标残余交换而导致的活性部分子的初态/终态相互作用。虽然这些相互作用是非微扰的,但对末态相互作用的研究已经近似于阿贝尔模型中的微扰单胶子交换。我们包括高阶胶子贡献的规范链接通过应用非微扰程函方法,将颜色自由度的计算中的Sivers功能。在这种情况下,我们研究的颜色的影响,考虑FSI与阿贝尔和非阿贝尔胶子相互作用。我们证实了Sivers函数的大$N_c$ QCD标度行为,并进一步揭示了有限$N_c$的偏差.在这个框架内的FSI,我们进行了定量检查T-奇数TMD和GPD之间的近似关系,超越了整体的迹象的讨论。

英文摘要:

The non-vanishing of naive T-odd parton distributions function can be explained by the existence of the gauge link which emerges from the factorized description of the deep inelastic scattering cross section into perturbatively calculable and non-perturbative factors. This path ordered exponential describes initial / final-state interactions of the active parton due to soft gluon exchanges with the target remnants. Although these interactions are non-perturbative, studies of final state interactions have been approximated by perturbative one-gluon exchange in Abelian models. We include higher-order gluonic contributions from the gauge link by applying non-perturbative eikonal methods, incorporating color degrees of freedom in a calculation of the Sivers function. In this context we study the effects of color by considering the FSIs with Abelian and non-Abelian gluon interactions. We confirm the large $N_c$ QCD scaling behavior of Sivers functions and further uncover the deviations for finite $N_c$. Within this framework of FSIs we perform a quantitative check of approximate relations between T-odd TMDs and GPD which goes beyond the discussion of overall signs.

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