AI 中文总结
本文推导了自旋1氘核张量极化扭曲2次与扭曲3次分布间的WW类关系和BC类求和规则，并基于HERMES数据估计了扭曲3次分布 $f_{LT}$，其大小与扭曲2次相当，表明次主导扭曲效应在低 $Q^2$ 实验中可能重要。
AI 中文摘要
我们研究了自旋1氘核的扭曲2次和扭曲3次张量极化部分子结构。利用带有局域算子的算子乘积展开，我们推导了张量极化扭曲2次夸克分布 $f_{1LL}$ 与扭曲3次分布 $f_{LT}$ 之间的类似Wandzura-Wilczek (WW)的扭曲2次关系，以及一个类似Burkhardt-Cottingham (BC)的求和规则。局域算子形式使得洛伦兹结构和旋转不变性变得明显，并为扭曲3次扇区提供了有用的约束。然后，我们使用由HERMES在 $Q^2=2.5~\ ext{GeV}^2$ 下对氘核结构函数 $b_1$ 的数据所约束的扭曲2次分布 $f_{1LL}(x)$ 的现象学参数化，在WW近似下定量估计扭曲3次分布 $f_{LT}(x)$。所得的 $f_{LT}(x)$ 具有与 $f_{1LL}(x)$ 相当的形状和大小，表明次主导扭曲效应可能对相对较低 $Q^2$ 下的未来实验具有重要意义。在本贡献中，我们总结了WW类关系和BC类求和规则的理论推导，并给出了氘核中张量极化扭曲3次夸克分布 $f_{LT}$ 的现象学估计。
英文摘要
We investigate the twist-2 and twist-3 tensor-polarized partonic structures of the spin-1 deuteron. Using the operator product expansion with local operators, we derive a Wandzura-Wilczek (WW)-like twist-2 relation between the tensor-polarized twist-2 quark distribution $f_{1LL}$ and the twist-3 distribution $f_{LT}$, together with a Burkhardt-Cottingham (BC)-like sum rule. The local-operator formalism makes the Lorentz structure and rotational invariance manifest and provides useful constraints on the twist-3 sector. We then use a phenomenological parametrization of the twist-2 distribution $f_{1LL}(x)$, constrained by HERMES data on the deuteron structure function $b_1$ at $Q^2=2.5~\text{GeV}^2$, to quantitatively estimate the twist-3 distribution $f_{LT}(x)$ within the WW approximation. The resulting $f_{LT}(x)$ has a shape and magnitude comparable to those of $f_{1LL}(x)$, indicating that subleading-twist effects may be relevant for future experiments at relatively low $Q^2$. In this contribution, we summarize the theoretical derivation of the WW-like relation and BC-like sum rule and present a phenomenological estimate of the tensor-polarized twist-3 quark distribution $f_{LT}$ in the deuteron.
Comments7 pages, 2 figures, proceedings of the 33rd International Workshop on Deep Inelastic Scattering and Related Subjects (DIS2026), 4-8 May 2026, Bologna, Italy
