发表机构
Key Laboratory of Particle Physics and Particle Irradiation (MOE), Institute of Frontier and Interdisciplinary Science, Shandong University; Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences（粒子物理与粒子辐照教育部重点实验室，前沿交叉科学研究院，山东大学; 南方核科学理论中心，现代物理研究所，中国科学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究量化了树级下近背对背双喷注产生中色纠缠对TMD因子化破缺的贡献，通过比较共线twist-3结果与TMD因子化预言，得出交叉图贡献的额外项系数。
AI 中文摘要
Rogers与Mulders指出，色纠缠是近背对背双喷注产生中破坏横向动量依赖（TMD）因子化的机制。利用该模型中的双西弗斯（Sivers）不对称，我们在中间区域Λ_QCD≪q_T≪P_T中量化色纠缠的贡献，其中q_T为双喷注的横向动量不平衡，P_T为硬横向动量。我们将共线 twist-3 结果与TMD因子化预言进行比较，两者均以邱-斯特曼（Qiu--Sterman）函数表示。若无颜色纠缠，因子化预言将涉及半举深度非弹性散射（SIDIS）的西弗斯函数；无交叉连接的图重现自这些西弗斯函数的微扰尾部得到的硬系数；交叉图中，每个相干胶子连接到另一强子的夸克线，贡献额外项，其值为该系数的4/(N_c²-1)倍。
英文摘要
Rogers and Mulders identified color entanglement as a mechanism that breaks transverse-momentum-dependent (TMD) factorization in nearly back-to-back dijet production. Using the double-Sivers asymmetry in their model, we quantify the contribution of color entanglement in the intermediate region $Λ_{\rm QCD}\ll q_T\ll P_T$, where $q_T$ is the transverse-momentum imbalance of the dijet and $P_T$ is the hard transverse momentum. We compare the collinear twist-three result with the TMD-factorization prediction, expressing both in terms of the Qiu--Sterman functions. In the absence of color entanglement, the factorized prediction would involve the Sivers functions of semi-inclusive deep-inelastic scattering (SIDIS). Diagrams without crossed attachments reproduce the hard coefficient obtained from the perturbative tails of these Sivers functions. Crossed diagrams, in which each coherent gluon attaches to the other hadron's quark line, contribute an extra term equal to $4/(N_c^2-1)$ times this coefficient.
Comments13 pages, 1 figure
