Particle production in high-energy collisions beyond the shockwave limit

Abstract

We compute next to eikonal (NE) and next to next to eikonal (NNE) corrections to the Lipatov vertex due to a finite target thickness. These arise from electric field insertions into the eikonal Wilson lines. We then derive a $k_T$-factorization formula for single inclusive gluon production at NNE accuracy and find that nuclear effects are absent. We also analyze NNE corrections to two-gluon production where some of the contributions are found to exhibit corrections proportional to $A^{2/3}$.

11 pages, 5 figures, corrected the result for the vertex, added derivation of two-gluon production cross section, published version

References in corpus (6)

• The ridge in proton-proton collisions at the LHC
• 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
• Next-to-next-to-eikonal corrections in the CGC
• Rapidity evolution of gluon TMD from low to moderate x

Cited by in corpus (22)

• Mining for Gluon Saturation at Colliders
• 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
• Broken boost invariance in the Glasma via finite nuclei thickness
• Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
• Quark jets scattering from a gluon field: from saturation to high $p_t$
• Non-eikonal corrections to multi-particle production in the Color Glass Condensate
• 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
• $J/\psi$ polarization in the CGC+NRQCD approach
• Elastic scattering of a quark from a color field: longitudinal momentum exchange
• 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
• 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
• Progress on 3+1D Glasma simulations
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• 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 $x_{Bj}$
• Double inclusive small-x gluon production and their azimuthal correlations in a biased ensemble