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arXiv 1001.4820hep-ph
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高能碰撞中的两粒子关联和胶子四点函数

Two-particle correlations in high energy collisions and the gluon four-point function

Adrian Dumitru, Jamal Jalilian Marian

摘要:

从JIMWLK泛函方程出发,导出了在稀释区和小x时胶子四点函数的快度演化方程。我们表明,超出领先的顺序在NC的平均场(高斯)近似的四点函数分解成两个点函数的产品是违反。我们计算这些分解破缺项,并表明它们有助于在主导秩序在NC的两个胶子的相关性作为其相对快度和方位角的函数,通用(而不是背靠背)的角度。这种两粒子关联已经在BNL-RHIC对撞机上进行了实验研究,也可以在CERN-LHC加速器上仔细研究pp(以及将来的AA)碰撞。

英文摘要:

We derive the rapidity evolution equation for the gluon four-point function in the dilute regime and at small x from the JIMWLK functional equation. We show that beyond leading order in Nc the mean field (Gaussian) approximation where the four point function is factorized into a product of two point functions is violated. We calculate these factorization breaking terms and show that they contribute at leading order in Nc to correlations of two produced gluons as a function of their relative rapidity and azimuthal angle, for generic (rather than back-to-back) angles. Such two-particle correlations have been studied experimentally at the BNL-RHIC collider and could be scrutinized also for pp (and, in the future, also AA) collisions at the CERN-LHC accelerator.

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