Onium-Onium scattering at fixed impact parameter: exact equivalence between the color dipole model and the BFKL Pomeron

Abstract

We compute the onium-onium scattering amplitude at fixed impact parameter in the framework of the perturbative QCD dipole model. Relying on conformal properties of the dipole cascade and of the elementary dipole-dipole scattering amplitude, we obtain an exact result for this onium-onium scattering amplitude, which is proven to be identical to the BFKL result, and which exhibits the frame invariance of the calculation. The asymptotic expression for this amplitude and for the dipole distribution in an onium at fixed impact parameter agree with previous numerical simulations. We show how it is possible to describe onium-$e^{\pm }$ deep inelastic scattering in the dipole model, relying on k_T-factorization properties. The elementary scattering amplitudes involved in the various processes are computed using eikonal techniques.

38 pages, latex file, 7 figures included as eps files

References in corpus (2)

• Conformal Invariance and the exact solution of BFKL equations
• Unitarity Corrections and High Field Strengths in High Energy Hard Collisions

Cited by in corpus (33)

• Generalized Parton Distributions
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• The Energy Dependence of the Saturation Momentum
• Probing the Small-$x$ Gluon Tomography in Correlated Hard Diffractive Dijet Production in DIS
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases
• Perturbative Odderon in the Dipole Model
• Interactions of Reggeized Gluons in the Möbius Representation
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• The elliptic gluon GTMD inside a large nucleus
• The elastic QCD dipole amplitude at one-loop
• ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross-section in the dipole picture of BFKL dynamics
• The Balitsky-Kovchegov equation in full momentum space
• Traveling waves and geometric scaling at non-zero momentum transfer
• Sudakov Resummations in Mueller-Navelet Dijet Production
• Holographic Pomeron: Saturation and DIS
• Correlation of small-x gluons in impact parameter space
• Conformal invariant saturation
• Hard diffraction at HERA in the dipole model of BFKL dynamics
• Double vector meson production in $\gamma \gamma$ interactions at hadronic colliders
• Saturation at Hadron Colliders
• The dipole representation of vector meson electroproduction beyond leading twist
• Geometric scaling in exclusive processes
• Small-x QCD effects in forward-jet and Mueller-Navelet jet production
• Uncovering the triple pomeron vertex from Wilson line formalism
• Non-linear QCD dynamics in two-photon interactions at high energies
• Survival probability in diffractive Higgs production in high density QCD
• On the anomalous dimensions of the multiple pomeron exchanges
• Double vector meson production in the International Linear Collider
• Forward jets in the colour-dipole model
• Evolution equation for elastic scattering of hadrons
• Revisiting the phenomenology on the QCD color dipole picture
• Soft gluon cascades and BFKL equation