色玻璃凝聚与共线框架在大横动量半单举深度非弹性散射中的比较研究
Comparative Study of Color Glass Condensate and Collinear Frameworks for Large-Transverse-Momentum Semi-Inclusive Deep Inelastic Scattering
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中文总结 AI 辅助
本文系统比较了共线因子化与色玻璃凝聚框架在大横动量半单举深度非弹性散射中的适用性，基于COMPASS和HERA数据及EIC运动学预测，发现当前理论精度下难以区分两种方案，并指出CGC预测对x_g的显著依赖。
中文摘要 AI 辅助
我们研究了大横动量强子 $P_t \gtrsim Q$ 下的半单举深度非弹性散射（SIDIS）截面，其中 $Q^2$ 是光子虚度。SIDIS 的这一运动学区域允许基于部分子分布函数（PDFs）和共线碎裂函数（FFs）的共线因子化。另一方面，在高能量下，即小 Bjorken $x$ 下，同一 SIDIS 过程也可以在色玻璃凝聚（CGC）框架内通过 eikonal 偶极振幅进行因子化。在本工作中，我们基于 COMPASS 和 HERA 数据，对该过程的领头阶（LO）和次领头阶（NLO）共线因子化以及 LO CGC 因子化进行了系统比较。我们进一步提供了这两种因子化框架在预期电子离子对撞机（EIC）运动学下对核子和原子核大-$P_t$ SIDIS 的比较。我们发现，在当前理论不确定度内，在 EIC 上区分这两种针对原子核 SIDIS 的因子化方案可能较为困难。我们还观察到 LO eikonal CGC 预测对纵向动量分数 $x_g$ 的选择有显著依赖性，这表明 EIC 运动学下存在显著的超越 eikonal 修正。
英文摘要
We study the Semi-Inclusive Deep Inelastic Scattering (SIDIS) cross-section at large values of hadron transverse momentum $P_t \gtrsim Q$, with $Q^2$ being the photon virtuality. This kinematic regime of SIDIS allows for a collinear factorization in terms of parton distribution functions (PDFs) and collinear fragmentation functions (FFs). On the other hand, at high energies, i.e., at small Bjorken $x$, the same SIDIS process can also be factorized within the Color Glass Condensate (CGC) framework in terms of eikonal dipole amplitudes. In this work, we perform a systematic comparison of the leading-order (LO) and next-to-leading-order (NLO) collinear and the LO CGC factorizations of this process based on the COMPASS and HERA data. We further provide comparisons of these two factorization frameworks for nucleon and nuclear large-$P_t$ SIDIS in the expected Electron Ion Collider (EIC) kinematics. We find, within the present theoretical uncertainties, that it might be difficult to distinguish between these two factorization schemes for nuclear SIDIS at the EIC. We also observe a significant dependence of the LO eikonal CGC predictions on the choice of longitudinal momentum fraction $x_g$, suggesting significant beyond-eikonal corrections for the EIC kinematics.
发表机构
- Brookhaven National Laboratory（布鲁海文国家实验室）
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