Multi-particle production in proton-nucleus collisions in the Color Glass Condensate

Abstract

We compute multi-gluon production in the Color Glass Condensate approach in dilute-dense collisions, p$A$, extending previous calculations up to four gluons. We include the contributions that are leading in the overlap area of the collision but keep all orders in the expansion in the number of colors. We develop a diagrammatic technique to write the numerous color contractions and exploit the symmetries to group the diagrams and simplify the expressions. To proceed further, we use the McLerran-Venugopalan and Golec-Biernat-Wüsthoff models for the projectile and target averages, respectively. We use a form of the Lipatov vertices that leads to the Wigner function approach for the projectile previously employed, that we generalise to take into account quantum correlations in the projectile wave function. We provide analytic expressions for integrated and differential two gluon cumulants and show a smooth dependence on the parameters defining the projectile and target Wigner function and dipole, respectively. For four gluon correlations we find that the second order four particle cumulant is negative, so a sensible second Fourier azimuthal coefficient can be defined. The effect of correlations in the projectile on this result results qualitatively and quantitatively large.

LaTeX, 39 pages, 10 figures

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• Opacity dependence of transverse flow, pre-equilibrium and applicability of hydrodynamics in heavy-ion collisions
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Long-range near-side correlation in $e^{+}{e}^{-}$ Collisions at 183-209 GeV with ALEPH Archived Data
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• First saturation correction in high energy proton-nucleus collisions: Part III. Ensemble averaging
• Two-particle angular correlations in $e^{+}{e}^{-}$ collisions to hadronic final states in two reference coordinates at Belle
• Anisotropic flow and the valence quark skeleton of hadrons
• A hybrid model for multi-particle production and multi-fragment emission in electron-nucleus collisions at the forthcoming Electron-Ion Collider