We perform a numerical study of higher order saturation corrections to the dilute-dense approximation for multi-particle production in high-energy hadronic collisions in the framework of the Color Glass Condensate. We compare semi-analytical results obtained by performing a leading order expansion in the dilute field of the projectile with numerical simulations of the full Classical Yang-Mills dynamics for a number of phenomenologically relevant observables. By varying the saturation momentum of the target and the projectile, we establish the regime of validity of the dilute-dense approximation and assess the magnitude and basic features of higher order saturation corrections. In particular, we find that dilute-dense approximation faithfully reproduces dense-dense results if restricted to the range of its validity.

中文翻译：

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对彩色玻璃冷凝物中稀密粒子产生和方位角相关性的饱和校正

我们在彩色玻璃冷凝物的框架内对高能强子碰撞中多粒子产生的稀密近似​​值进行了高阶饱和度校正的数值研究。我们将通过在弹丸的稀场中执行领先阶扩展获得的半解析结果与完整经典杨-米尔斯动力学的数值模拟进行比较，以获得许多与现象学相关的可观察量。通过改变目标和弹丸的饱和动量，我们建立了稀密近似的有效性机制，并评估了高阶饱和校正的幅度和基本特征。特别是，我们发现，如果限制在其有效性范围内，稀密近似忠实地再现了稠密结果。