Light-cone singularities and transverse-momentum-dependent factorization at twist-3

Light-cone singularities and transverse-momentum-dependent factorization at twist-3
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光锥奇点和扭曲 3 处的横向动量相关分解

DOI:
10.1016/j.physletb.2017.03.015
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发表时间:
2016-10
期刊:
影响因子:
4.4
通讯作者:
Ma J. P.
Ma J. P.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Chen A. P.;Ma J. P.

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本文研究了Drell-Yan过程在twist-3处的横动量依赖因子分解。在α s的首阶可以直接导出因子分解。但是在这个量级上,我们发现光锥奇异性已经存在,并且软胶子的影响没有被正确地因式分解。我们用光锥外的规范链正则化奇异性,并引入一个软因子来分解软胶子的影响。有趣的是,软因子必须包括在减TMD部分子分布的定义中,以正确分解软胶子的影响。我们推导了其中一种twist-3 TMD部分子分布的Collins-Soper方程。该方程可用于共线分解中相应结构函数中出现的大项的重算。然而,导出的方程是非齐次的。这将使再确认复杂化。
We study transverse-momentum-dependent factorization at twist-3 for Drell–Yan processes. The factorization can be derived straightforwardly at leading order of α s. But at this order we find that light-cone singularities already exist and effects of soft gluons are not correctly factorized. We regularize the singularities with gauge links off the light-cone and introduce a soft factor to factorize the effects of soft gluons. Interestingly, the soft factor must be included in the definition of subtracted TMD parton distributions to correctly factorize the effects of soft gluons. We derive the Collins–Soper equation for one of twist-3 TMD parton distributions. The equation can be useful for resummation of large logarithms terms appearing in the corresponding structure function in collinear factorization. However, the derived equation is nonhomogeneous. This will make the resummation complicated.
偏振 Drell-Yan 过程的横向动量相关扭转三结果
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