Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics

Abstract

We revisit high energy factorization for gluon mediated inclusive Deep Inelastic Scattering (DIS) for which we propose a new semi-classical approach that accounts systematically for the longitudinal extent of the target in contrast with the shockwave limit. In this framework, based on a partial twist expansion, we derive a factorization formula that involves a new gauge invariant unintegrated gluon distribution which depends explicitly on the Feynman $x$ variable. It is shown that both the Regge and Bjorken limits are recovered in this approach. We reproduce in particular the full one loop inclusive DIS cross-section in the leading twist approximation and the all-twist dipole factorization formula in the strict $x=0$ limit. Although quantum evolution is not discussed explicitly in this work, we argue that the proper treatment of the $x$ dependence of the gluon distribution encompasses the kinematic constraint that must be imposed on the phase-space of gluon fluctuations in the target to ensure stability of small-$x$ evolution.

arXiv comment53 pages, 7 figures

References in corpus (50)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• The Color Glass Condensate
• The Wilson renormalization group for low x physics: towards the high density regime
• Green's Functions in the Color Field of a Large Nucleus
• BFKL pomeron in the next-to-leading approximation
• Unitarization of the BFKL Pomeron on a Nucleus
• Energy Scale(s) and Next-to-leading BFKL Equation
• Exclusive diffractive processes at HERA within the dipole picture
• Final state interactions and gauge invariant parton distributions
• Universality of Unintegrated Gluon Distributions at small x
• Cronin Effect and High-p_T Suppression in pA Collisions
• Resumming double logarithms in the QCD evolution of color dipoles
• Collinearly-improved BK evolution meets the HERA data
• Jet Structure in Heavy Ion Collisions
• Improving the kinematics for low-x QCD evolution equations in coordinate space
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Non-linear evolution in QCD at high-energy beyond leading order
• Unintegrated gluon distribution from modified BK equation
• Gluon orbital angular momentum at small-$x$
• NLO corrections for the dipole factorization of DIS structure functions at low x
• Sub-eikonal corrections to scattering amplitudes at high energy
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Small-$x$ Helicity Evolution: an Operator Treatment
• Small-$x$ Asymptotics of the Gluon Helicity Distribution
• Gluon Tomography from Deeply Virtual Compton Scattering at Small-x
• Helicity-dependent generalization of the JIMWLK evolution
• Next-to-next-to-eikonal corrections in the CGC
• The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
• HERA data and collinearly-improved BK dynamics
• 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
• High-energy Operator Product Expansion at sub-eikonal level
• 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
• Next-to-leading and resummed BFKL evolution with saturation boundary
• Rapidity loss, spin and angular asymmetries in scattering of a quark from color field of a proton (nucleus)
• Orbital Angular Momentum at Small $x$
• Particle production in high-energy collisions beyond the shockwave limit
• Effect of non-eikonal corrections on azimuthal asymmetries in the Color Glass Condensate
• Elastic scattering of a quark from a color field: longitudinal momentum exchange
• QCD dipole model and k_T factorization
• Collinearly improved JIMWLK evolution in Langevin form
• On gauge invariance of transverse momentum dependent distributions at small x
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Rapidity evolution of gluon TMD from low to moderate x

Cited by in corpus (6)

• Back-to-back inclusive dijets in DIS at small $x$: Sudakov suppression and gluon saturation at NLO
• DIS dijet production at next-to-eikonal accuracy in the CGC
• 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 $x_{Bj}$
• Exploring the DGLAP resummation in the JIMWLK Hamiltonian