A novel formulation of the unintegrated gluon distribution for DIS

Abstract

We provide a semi-classical description of the inclusive gluon induced Deep Inelastic Scattering cross section in a way that accounts for the leading powers in both the Regge and Bjorken limits. Our approach thus allows a systematic matching of small and moderate $x_{\mathrm{Bj}}$ regimes of gluon proton structure functions. We find a new unintegrated gluon distribution with an explicit dependence on the longitudinal momentum fraction $x$ which entirely spans both the dipole operator and the gluonic Parton Distribution Function. Computing this gauge invariant gluon operator on the lattice could allow to probe the energy dependence of the saturation scale from first principles.

6 pages, 3 figures

References in corpus (5)

• NLO evolution of color dipoles
• 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
• HERA data and collinearly-improved BK dynamics

Cited by in corpus (10)

• Back-to-back inclusive dijets in DIS at small $x$: Sudakov suppression and gluon saturation at NLO
• Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• DIS dijet production at next-to-eikonal accuracy in the CGC
• Sudakov resummation from the BFKL evolution
• The dipole cross section by the unintegrated gluon distribution at small $x$
• 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
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$