Next-to-next-to-eikonal corrections in the CGC

Abstract

We extend the study of corrections to the eikonal approximation that was initiated in Ref. \cite{Altinoluk:2014oxa} to higher orders. These corrections associated with the finite width of the target are investigated and the gluon propagator in background field is calculated at next-to-next-to-eikonal accuracy. The result is then applied to the single inclusive gluon production cross section at central rapidities and the light-front helicity asymmetry, in pA collisions, in order to analyse these observables beyond the eikonal limit. The next-to-next-to-eikonal corrections to the unpolarized cross section are non-zero and provide the first corrections to the usual $k_{\perp }$-factorized expression. In contrast, the eikonal and next-to-next-to-eikonal contributions to the helicity asymmetry vanish, while the next-to-eikonal ones are non-zero.

32 pages

References in corpus (11)

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• Small-$x$ evolution of jet quenching parameter

Cited by in corpus (45)

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• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
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• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
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• Non-eikonal corrections to multi-particle production in the Color Glass Condensate
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• A novel formulation of the unintegrated gluon distribution for DIS
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• Ultrarelativistic quark-nucleus scattering in a light-front Hamiltonian approach
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• A modified in-medium evolution equation with color coherence
• Precise description of medium-induced emissions
• Particle correlations from the initial state
• Space-time structure of 3+1D color fields in high energy nuclear collisions
• Progress on 3+1D Glasma simulations
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Multi-particle production in proton-nucleus collisions in the Color Glass Condensate
• Lensing Mechanism Meets Small-$x$ Physics: Single Transverse Spin Asymmetry in $p^{\uparrow }+p$ and $p^{\uparrow }+A$ Collisions
• Finite width effects on the azimuthal asymmetry in proton-nucleus collisions in the Color Glass Condensate
• Forward Inclusive Jet Productions in pA Collisions
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• High energy scattering in Einstein-Cartan gravity
• QCD antenna radiative spectrum in dense media within the Improved Opacity Expansion
• 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 $x_{Bj}$
• Memory effect in Yang-Mills theory with an axion