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.

53 pages, 7 figures

References in corpus (11)

• The Color Glass Condensate
• Universality of Unintegrated Gluon Distributions at small x
• Resumming double logarithms in the QCD evolution of color dipoles
• 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
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Helicity-dependent generalization of the JIMWLK evolution
• HERA data and collinearly-improved BK dynamics
• Orbital Angular Momentum at Small $x$
• Elastic scattering of a quark from a color field: longitudinal momentum exchange

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