论文标题
横向摩肌依赖性的parton分布功能至旋转1 Hadron的扭曲4
Transverse-momentum-dependent parton distribution functions up to twist 4 for spin-1 hadrons
论文作者
论文摘要
我们通过研究Lorentz-Invariant方式中的所有可能的分解，显示出可能的旋转1 Hadron的横向肌依赖性Parton分布函数（TMD），包括扭曲3和4个功能。墓穴和平等不变性是在分解中强加的。但是，由于量规链路在TMD中的主动作用，未使用时间转换不变性。因此，除了TMDS中的时间反转外，还存在时间反向-ODD函数。我们列出了所有功能达到twist-4级别，因为在Twist-2部分的先前工作中存在与LightCone矢量$ n $相关的术语，并且在twist-3和4个spin-1 hadrons中没有相关功能研究。我们表明，在TWIST 2、3和4中，张张式旋转的Spin-1强体中存在40个TMD。由于新术语的新术语$ n $，Twist-2结构函数的某些表达式是从先前的推导中修改的，我们在这项工作中发现了3和4中的30个新结构功能。 Since time-reversal-odd terms of the collinear correlation function should vanish after integrals over the partonic transverse momentum, we obtain new sum rules for the time-reversal-odd structure functions, $ \int d^2 k_T h_{LT}= \int d^2 k_T h_{LL} = \int d^2 k_T h_{3LL} =0$.此外，我们表明在张量化的旋转1 HADRON中存在新的横向肌依赖性片段化函数。 TMD是罕见的可观察到的，可以在颜色流方面找到明确的颜色自由度，因为颜色限制在Hadron中，因此通常无法测量。
We show possible transverse-momentum-dependent parton distribution functions (TMDs) for spin-1 hadrons including twist-3 and 4 functions in addition to the leading twist-2 ones by investigating all the possible decomposition of a quark correlation function in the Lorentz-invariant way. The Hermiticity and parity invariance are imposed in the decomposition; however, the time-reversal invariance is not used due to an active role of gauge links in the TMDs. Therefore, there exist time-reversal-odd functions in addition to the time-reversal even ones in the TMDs. We list all the functions up to twist-4 level because there were missing terms associated with the lightcone vector $n$ in previous works on the twist-2 part and there was no correlation-function study in the twist-3 and 4 parts for spin-1 hadrons. We show that 40 TMDs exist in the tensor-polarized spin-1 hadron in twists 2, 3, and 4. Some expressions of twist-2 structure functions are modified from previous derivations due to the new terms with $n$, and we find 30 new structure functions in twists 3 and 4 in this work. Since time-reversal-odd terms of the collinear correlation function should vanish after integrals over the partonic transverse momentum, we obtain new sum rules for the time-reversal-odd structure functions, $ \int d^2 k_T h_{LT}= \int d^2 k_T h_{LL} = \int d^2 k_T h_{3LL} =0$. In addition, we indicate that new transverse-momentum-dependent fragmentation functions exist in tensor-polarized spin-1 hadrons. The TMDs are rare observables to find explicit color degrees of freedom in terms of color flow, which cannot be usually measured because the color is confined in hadrons.
