DIS双喷注产生：连接eikonal与TMD区域的算符基
DIS Dijet Production: An operator basis bridging eikonal and TMD regimes
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- North Carolina State University（北卡罗来纳州立大学）
- Brookhaven National Laboratory（布鲁克海文国家实验室）
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中文总结 AI 辅助
我们提出一个统一算符基，连接DIS双喷注产生的eikonal与TMD区域，在任意x下重现CGC和TMD结果，并发现非零x时横向重求和阻碍常规TMD因子化。
中文摘要 AI 辅助
我们为无色极化深非弹性散射（DIS）夸克-反夸克双喷注产生过程提出一个算符基，该算符基在任意Bjorken x下平滑地连接全twist的eikonal区域与背对背领头twist的TMD区域。从背景场夸克传播子出发，我们构建了一个算符基，在统一表述中组织eikonal展开和twist展开。利用该算符基，我们推导了双喷注产生振幅，保留了领头eikonal或领头twist描述所需的所有贡献。在eikonal极限下，所得振幅重现了全twist的色玻璃凝聚（CGC）结果；而在背对背极限下，它们化简为任意x下基于领头twist胶子TMD的结果。该算符基可以系统地扩展以包含次eikonal和高twist修正。此外，通过考察该算符基与改进的TMD（iTMD）因子化的关系，我们在eikonal极限下恢复了iTMD结构。然而，我们发现非零x时横向重求和产生纵向相位，阻止了用常规TMD算符进行因子化。
英文摘要
We propose an operator basis for the unpolarized deep-inelastic scattering (DIS) quark-antiquark dijet production process smoothly connecting the all-twist eikonal regime to the back-to-back leading-twist TMD regime at arbitrary Bjorken x. Starting from the background-field quark propagator we construct an operator basis that organizes the eikonal and twist expansions within a unified formulation. Utilizing this operator basis we derive the dijet production amplitudes retaining all contributions required by either the leading-eikonal or the leading-twist description. In the eikonal limit the resulting amplitudes reproduce the all-twist Color Glass Condensate result, while in the back-to-back limit they reduce to the leading-twist gluon TMD-based result at arbitrary x. The operator basis can be systematically extended to include sub-eikonal and higher-twist corrections. Further, by examining the relationship of this operator basis to the improved TMD (iTMD) factorization we recover the iTMD structure in the eikonal limit. However, we find at non-zero x the transverse resummation generates longitudinal phases that prevent factorization in terms of a conventional TMD operator.
