Traveling waves and geometric scaling at non-zero momentum transfer

Abstract

We extend the search for traveling-wave asymptotic solutions of the non-linear Balitsky-Kovchegov (BK) saturation equation to non-forward dipole-target amplitudes. Making use of conformal invariant properties of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) kernel, we exhibit traveling-wave solutions in momentum space in the region where the momentum transfer q is smaller than the characteristic scale Q of the projectile. We prove geometric scaling in the variable Q/(q Omega_s(Y)) where Omega_s(Y) has the same energy dependence as in the forward analysis.

14 pages, 2 figures, minor changes and misprints corrected, version to be published

Cited by in corpus (34)

• Saturation Physics and Deuteron--Gold Collisions at RHIC
• A phenomenological theory giving the full statistics of the position of fluctuating pulled fronts
• Saturation QCD predictions with heavy quarks at HERA
• Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large N_c
• Exclusive vector meson production at HERA from QCD with saturation
• Geometric scaling in diffractive deep inelastic scattering
• A unified description of diffractive deep inelastic scattering with saturation
• Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
• New observables to test the Color Glass Condensate beyond the large-N_c limit
• Treading on the cut: Semi inclusive observables at high energy
• The survival probability of a branching random walk in presence of an absorbing wall
• Geometric scaling in high-energy QCD at nonzero momentum transfer
• Geometry of Rank Reduction
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• Quasi-stationary regime of a branching random walk in presence of an absorbing wall
• Negative velocity fluctuations of pulled reaction fronts
• Correlation of small-x gluons in impact parameter space
• Investigating the exclusive protoproduction of dileptons at high energies
• QCD traveling waves at non-asymptotic energies
• Large-displacement statistics of the rightmost particle of the one-dimensional branching Brownian motion
• Emergence of fluctuating traveling front solutions in macroscopic theory of noisy invasion fronts
• Nuclear DVCS at small-x using the color dipole phenomenology
• Compatibility of phenomenological dipole cross sections with the Balitsky-Kovchegov equation
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Universality of QCD traveling-waves with running coupling
• Universality of traveling waves with QCD running coupling
• Asymptotics of QCD traveling waves with fluctuations and running coupling effects
• Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
• Fragility of reaction-diffusion models to competing advective processes
• High energy electroweak DVCS processes in neutrino-nucleon scattering
• Evolution equation for elastic scattering of hadrons
• Spin-glass model of QCD near saturation
• FKPP dynamics mediated by a parent field with a delay
• The dipole picture in DIS: saturation and heavy quarks