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arXiv 0904.4150hep-ph
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低$p_T$强子强子产生的$k_T$因子分解的恢复

Restoration of $k_T$ factorization for low $p_T$ hadron hadroproduction

Chun-peng Chang, Hsiang-nan Li

摘要:

在一个简单的玩具模型中讨论了$k_T$因子分解定理对强子-强子碰撞中低$p_T$强子产生的适用性。结果表明,高$p_T$强子强子产生的$k_T$因子分解被Glauber区的软胶子打破,软胶子在横动量依赖(TMD)的部分子密度和碰撞的其它子过程之间交换.我们解释了在低$p_T$时,环动量的轮廓可以变形远离Glauber区,因此上述剩余红外发散度可以通过标准程函近似因子化。然后恢复$k_T$因子分解,在这个意义上,一个TMD部分子密度保持其普适性。由于合成的Glauber因子与强子味无关,因此对其行为的实验约束是可能的。在低$p_T$下,强子-强子碰撞中的横向单自旋不对称性也可以用类似的方法恢复$k_T$因子分解,而剩余红外发散因子也可以分解为相同的Glauber因子.

英文摘要:

We discuss the applicability of the $k_T$ factorization theorem to low-$p_T$ hadron production in hadron-hadron collision in a simple toy model, which involves only scalar particles and gluons. It has been shown that the $k_T$ factorization for high-$p_T$ hadron hadroproduction is broken by soft gluons in the Glauber region, which are exchanged among a transverse-momentum-dependent (TMD) parton density and other subprocesses of the collision. We explain that the contour of a loop momentum can be deformed away from the Glauber region at low $p_T$, so the above residual infrared divergence is factorized by means of the standard eikonal approximation. The $k_T$ factorization is then restored in the sense that a TMD parton density maintains its universality. Because the resultant Glauber factor is independent of hadron flavors, experimental constraints on its behavior are possible. The $k_T$ factorization can also be restored for the transverse single-spin asymmetry in hadron-hadron collision at low $p_T$ in a similar way, with the residual infrared divergence being factorized into the same Glauber factor.

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