Abstract
In the Color Glass Condensate formalism, we evaluate the 3-dipole correlator up to the $\frac{1}{N_c^4}$ order with $N_c$ being the number of colors, and compute the azimuthal cumulant $c_{123}$ for 3-particle productions. In addition, we discuss the patterns appearing in the $n$-dipole formula in terms of $\frac{1}{N_c}$ expansions. This allows us to conjecture the $N_c$ scaling of $c_n\{m\}$, which is crosschecked by our calculation of $c_2\{4\}$ in the dilute limit.
Highlights
N4c order withNc being the number of colors, and compute the azimuthal cumulant c123 for 3-particle productions
Experimental data in deep inelastic scatterings and proton-nucleus collisions indicates a sharp rise in the cross section at small Bjorken x, which is believed to be due to the fast growth of the gluon density in large nuclei
The Jalilian-Marian-Iancu-McLerranWeigert-Leonidov- Kovner (JIMWLK) renormalization group equation [10,11] governs the nonlinear evolution of the gluon distribution function in the saturation regime
Summary
Nc being the number of colors, and compute the azimuthal cumulant c123 for 3-particle productions. This allows us to conjecture the Nc scaling of cnfmg, which is crosschecked by our calculation of c2f4g in the dilute limit
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