Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering

Abstract

We derive Next-to-Eikonal (NEik) corrections to the background quark propagator, which stem from (i) considering a finite longitudinal width target instead of an infinitely thin shockwave and (ii) including the interaction of the quark with the transverse components of the background field. These two different corrections to the eikonal approximation combine together and provides a gauge covariant expression for the quark propagator at NEik accuracy. We then apply our results to quark (or antiquark) scattering on a nucleus at NEik accuracy, considering both unpolarized cross section and helicity asymmetry.

47 pages, 2 figures. A new appendix and extra discussions are added, some typos are corrected, new references are added, acknowledgments are modified. Results and conclusions are unchanged

References in corpus (31)

• The Color Glass Condensate
• Universality of Unintegrated Gluon Distributions at small x
• Path integral approach to eikonal and next-to-eikonal exponentiation
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Photon impact factor in the next-to-leading order
• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
• Prompt photon production and photon-hadron correlations at RHIC and the LHC from the Color Glass Condensate
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Small-$x$ asymptotics of the quark helicity distribution
• Helicity-dependent generalization of the JIMWLK evolution
• Matching Collinear and Small-x Factorization Calculations for Inclusive Hadron Production in pA Collisions
• Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions
• Next-to-leading order forward hadron production in the small-$x$ regime: rapidity factorization
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Interplay of the CGC and TMD frameworks to all orders in kinematic twist
• High-energy Operator Product Expansion at sub-eikonal level
• Helicity-dependent extension of the McLerran-Venugopalan model
• Higher-twist corrections to gluon TMD factorization
• Helicity at Small $x$: Oscillations Generated by Bringing Back the Quarks
• 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
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Prompt photon - jet angular correlations at central rapidities in p+A collisions
• Gauge-invariant TMD factorization for Drell-Yan hadronic tensor at small x
• Improvement for Color Glass Condensate factorization: single hadron production in pA collisions at next-to-leading order
• Saturation physics and angular correlations at RHIC and LHC

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• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
• Helicity Evolution at Small $x$: the Single-Logarithmic Contribution
• Jet Broadening in Flowing Matter -- Resummation
• DIS dijet production at next-to-eikonal accuracy in the CGC
• T-odd Leading-Twist Quark TMDs at Small $x$
• Analytic Solution for the Revised Helicity Evolution at Small $x$ and Large $N_c$: New Resummed Gluon-Gluon Polarized Anomalous Dimension and Intercept
• Scattering and gluon emission in a color field: a light-front Hamiltonian approach
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• Forward Inclusive Jet Productions in pA Collisions
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• 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 $x_{Bj}$