Non-eikonal corrections to multi-particle production in the Color Glass Condensate

Abstract

We consider the non-eikonal corrections to particle production in the Color Glass Condensate stemming from the relaxation of the shockwave approximation for the target that acquires a finite longitudinal dimension. We derive a modified expression of the Lipatov vertex which takes into account this finite target width. This expression is employed to compute single, double and triple gluon production in the Glasma graph limit valid for the scattering of two dilute objects, at all orders in the expansion in the number of colors. We justify and generalize previous results, and discuss the possible implications on two particle correlations of these non-eikonal corrections that induce differences between the away- and near-side peaks.

LaTeX, 30 pages, 8 figures; v2: some comments, references and acknowledgements added, figures relabelled for consistency, equations displaced to an appendix for clarity, results and conclusions unchanged, final version

References in corpus (16)

• The Color Glass Condensate
• The ridge in proton-proton collisions at the LHC
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Explanation of systematics of CMS p+Pb high multiplicity di-hadron data at ${\sqrt{s}}_{\mathrm{NN}}=5.02$ TeV
• Evidence for BFKL and saturation dynamics from di-hadron spectra at the LHC
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Azimuthal asymmetries and the emergence of "collectivity" from multi-particle correlations in high-energy pA collisions
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Anisotropy of the semi-classical gluon field of a large nucleus at high energy
• Relating the description of gluon production in pA collisions and parton energy loss in AA collisions
• Quark correlations in the Color Glass Condensate: Pauli blocking and the ridge
• Triple- and Quadruple-Gluon Azimuthal Correlations from Glasma and Higher-Dimensional Ridges
• Initial state qqg correlations as a background for the Chiral Magnetic Effect in collision of small systems
• Predictions on three-particle azimuthal correlations in proton-proton collisions

Cited by in corpus (28)

• Mining for Gluon Saturation at Colliders
• The smallest fluid on earth
• Low $x$ physics as an infinite twist (G)TMD framework: unravelling the origins of saturation
• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• Equilibration of the Quark-Gluon Plasma at finite net-baryon density in QCD kinetic theory
• Jet broadening in dense inhomogeneous matter
• Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
• Rapidity loss, spin and angular asymmetries in scattering of a quark from color field of a proton (nucleus)
• Effect of non-eikonal corrections on azimuthal asymmetries in the Color Glass Condensate
• Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
• DIS dijet production at next-to-eikonal accuracy in the CGC
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• Sudakov resummation from the BFKL evolution
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• Particle correlations from the initial state
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Multi-particle production in proton-nucleus collisions in the Color Glass Condensate
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• Angular correlations in pA collisions from CGC: multiplicity and mean transverse momentum dependence of $v_2$
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• Forward trijet production in p-p and p-Pb collisions at LHC
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• High energy scattering in Einstein-Cartan gravity
• On QCD RFT corrections to the propagator of reggeized gluons
• Color Glass Condensate meets High Twist Expansion
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Anisotropic flow and the valence quark skeleton of hadrons
• Double inclusive small-x gluon production and their azimuthal correlations in a biased ensemble