论文标题
Spin-1 Hadron的TMD
TMDs for spin-1 hadrons
论文作者
论文摘要
除了扭曲-2外，还研究了twist 3和4的横向摩肌依赖性Parton分布函数（TMD）。通过研究夸克相关函数的所有可能分解以洛伦兹 - 不变的方式与墓地和平等不变性一起发现。由于仪表链路的积极作用，TMD并未实现时间反转的不变性。但是，它们通过在横向动量上整合TMD来用于共线Parton分布函数（PDF）。我们发现在Twist 3和4处的Tensor偏振旋转1强生物体中存在30个TMD，而Twist 2处有10个TMD。我们还表明，在曲式3和4处有3个Colinear PDF。相应的TMD片段功能存在SAT twists 2、3和4，仅通过更改功能名称和变量名称名称和变量。由于在共线PDF中的时间逆转不变性是有效的，因此横向动量上的时间反向odd TMD的积分应消失。它导致总和规则$ \ int d^2 k_t \，h_ {1lt}（x，x，k_t^{\，2}）= \ int d^2 k_t g_t g_ {lt}（x，x，k_t^{\，2} {\，2}） d^2 k_t h_ {3ll}（x，k_t^{\，2}）= 0 $在TWIST 3和4处的Time-Ress-Rversal Odd TMDS上。
Transverse-momentum-dependent parton distribution functions (TMDs) were investigated at the twists 3 and 4 for spin-1 hadrons in addition to the twist-2 ones. They were found by studying all the possible decomposition of a quark correlation function in a Lorentz-invariant way with the Hermiticity and parity invariance. The time-reversal invariance was not imposed for the TMDs due to an active role of gauge links; however, they were used for collinear parton distribution functions (PDFs) by integrating the TMDs over the transverse momentum. We found that 30 TMDs exist in the tensor-polarized spin-1 hadron at the twists 3 and 4, whereas there are 10 TMDs at the twist 2. We also showed that there are 3 collinear PDFs at the twists 3 and 4. The corresponding TMD fragmentation functions exist sat the twists 2, 3, and 4 simply by changing function names and variables. Since the time-reversal invariance is valid in the collinear PDFs, the integrals of time-reversal-odd TMDs over the transverse momentum should vanish. It leads to the sum rules $ \int d^2 k_T \, h_{1LT} (x, k_T^{\, 2}) = \int d^2 k_T g_{LT} (x, k_T^{\, 2}) = \int d^2 k_T h_{LL} (x, k_T^{\, 2}) = \int d^2 k_T h_{3LL}(x, k_T^{\, 2}) =0$ on the time-reversal odd TMDs at the twists 3 and 4.
