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.

arXiv commentLaTeX, 39 pages, 10 figures

References in corpus (85)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• Observation of Long-Range Near-Side Angular Correlations in Proton-Proton Collisions at the LHC
• Long-range angular correlations on the near and away side in p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Observation of long-range near-side angular correlations in proton-lead collisions at the LHC
• Saturation in Diffractive Deep Inelastic Scattering
• Fluctuating Glasma initial conditions and flow in heavy ion collisions
• Observation of Associated Near-side and Away-side Long-range Correlations in sqrt(s_NN)=5.02 TeV Proton-lead Collisions with the ATLAS Detector
• Multiplicity and transverse-momentum dependence of two- and four-particle correlations in pPb and PbPb collisions
• Evidence for collectivity in pp collisions at the LHC
• Flow analysis from multiparticle azimuthal correlations
• Universality of Unintegrated Gluon Distributions at small x
• Glasma flux tubes and the near side ridge phenomenon at RHIC
• Observation of long-range elliptic anisotropies in $\sqrt{s}=$13 and 2.76 TeV $pp$ collisions with the ATLAS detector
• The Color Glass Condensate and hadron production in the forward region
• Creating small circular, elliptical, and triangular droplets of quark-gluon plasma
• Comparison of the Color Glass Condensate to di-hadron correlations in proton-proton and proton-nucleus collisions
• The ridge in proton-proton collisions at the LHC
• Small System Collectivity in Relativistic Hadron and Nuclear Collisions
• High energy pA collisions in the color glass condensate approach II. Quark production
• Measurement of long-range near-side two-particle angular correlations in pp collisions at sqrt(s) = 13 TeV
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• Measurement of long-range angular correlation and quadrupole anisotropy of pions and (anti)protons in central $d$$+$Au collisions at $\sqrt{s_{{}_{NN}}}$=200 GeV
• Measurements of elliptic and triangular flow in high-multiplicity ${}^3$He$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Long range two-particle rapidity correlations in A+A collisions from high energy QCD evolution
• Angular Correlations in Gluon Production at High Energy
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Experimental overview on small collision systems at the LHC
• Long-Range Rapidity Correlations in Heavy-Light Ion Collisions
• Glittering Glasmas
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Measurements of long-range azimuthal anisotropies and associated Fourier coefficients for $pp$ collisions at $\sqrt{s}=5.02$ and $13$ TeV and $p$+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• What attracts to attractors?
• Long-range pseudorapidity dihadron correlations in $d$+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Tracing the origin of azimuthal gluon correlations in the color glass condensate
• Do nuclear collisions create a locally equilibrated quark-gluon plasma?
• Measurements of long-range near-side angular correlations in $\sqrt{s_{\text{NN}}}=5$TeV proton-lead collisions in the forward region
• Hierarchy of azimuthal anisotropy harmonics in collisions of small systems from the Color Glass Condensate
• Gluon TMD in particle production from low to moderate x
• Transverse momentum-flow correlations in relativistic heavy-ion collisions
• Azimuthal asymmetries and the emergence of "collectivity" from multi-particle correlations in high-energy pA collisions
• Probing colored glass via $q\bar{q}$ photoproduction
• Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations
• Sub-eikonal corrections to scattering amplitudes at high energy
• Multiparticle collectivity from initial state correlations in high energy proton-nucleus collisions
• On Angular Correlations and High Energy Evolution
• Universality of multi-particle production in QCD at high energies
• Next-to-next-to-eikonal corrections in the CGC
• Medium-induced gluon radiation and colour decoherence beyond the soft approximation
• Measurement of flow harmonics correlations with mean transverse momentum in lead-lead and proton-lead collisions at $\sqrt{s_{NN}}=5.02$ TeV with the ATLAS detector
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Higher-point correlations from the JIMWLK evolution
• Observable signatures of initial state momentum anisotropies in nuclear collisions
• Measurements of two-particle correlations in $e^{+}{e}^{-}$ collisions at 91 GeV with ALEPH archived data
• Systematics of azimuthal anisotropy harmonics in proton-nucleus collisions at the LHC from the Color Glass Condensate
• Gluon propagation inside a high-energy nucleus
• Weak and strong coupling equilibration in nonabelian gauge theories
• High-energy Operator Product Expansion at sub-eikonal level
• Three-particle correlation from glasma flux tubes
• On multiple scatterings of mesons in hot and cold QCD matter
• Two-Gluon Correlations in Heavy-Light Ion Collisions: Energy and Geometry Dependence, IR Divergences, and $k_T$-Factorization
• Azimuthal harmonics of color fields in a high energy nucleus
• Non-eikonal corrections to multi-particle production in the Color Glass Condensate
• Effect of non-eikonal corrections on azimuthal asymmetries in the Color Glass Condensate
• Relating the description of gluon production in pA collisions and parton energy loss in AA collisions
• Hanbury-Brown-Twiss measurements at large rapidity separations, or can we measure the proton radius in p-A collisions?
• Two-particle azimuthal correlations as a probe of collective behaviour in deep inelastic $\text{ep}$ scattering at HERA
• Assessing saturation physics explanations of collectivity in small collision systems with the IP-Jazma model
• Initial conditions for dipole evolution beyond the McLerran-Venugopalan model
• DPS in CGC: Double Quark Production and Effects of Quantum Statistics
• Double and triple inclusive gluon production at mid rapidity: quantum interference in p-A scattering
• Multi Quark Production in p+A collisions: Quantum Interference Effects
• Origins of collectivity in small systems
• Particle correlations from the initial state
• Correlations and the ridge in the Color Glass Condensate beyond the glasma graph approximation
• Measurement of long-range two-particle azimuthal correlations in $Z$-boson tagged $pp$ collisions at $\sqrt{s}=8$ and 13 TeV
• Multipole scattering amplitudes in the Color Glass Condensate formalism
• Penetration of a high energy QQbar bound state through SU(N) color background
• Triple- and Quadruple-Gluon Azimuthal Correlations from Glasma and Higher-Dimensional Ridges
• Multiparticle Production at Mid-Rapidity in the Color-Glass Condensate
• Saturation corrections to dilute-dense particle production and azimuthal correlations in the Color Glass Condensate
• Angular correlations in pA collisions from CGC: multiplicity and mean transverse momentum dependence of $v_2$
• Non-Hydrodynamic Initial Conditions are Not Soon Forgotten

Cited by in corpus (9)

• Development of transverse flow at small and large opacities in conformal kinetic theory
• 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