The Balitsky-Kovchegov equation in full momentum space

Abstract

We analyse the Balitsky-Kovchegov (BK) saturation equation in momentum space and solve it numerically. We confirm that, in the limit where the transverse momentum of the incident particle k is much bigger than the momentum transfer q, the equation admits travelling-wave solutions. We extract the q dependence of the saturation scale Q_s(Y) and verify that Q_s(Y=cste) scales as max(q,Q_T), where Q_T is the scale caracterizing the target.

11 pages, 7 figures, minor corrections, version appeared in Nucl. Phys. A

References in corpus (3)

• Universal behavior of QCD amplitudes at high energy from general tools of statistical physics
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Non-linear QCD evolution with improved triple-pomeron vertices

Cited by in corpus (34)

• Single Inclusive Hadron Production at RHIC and the LHC from the Color Glass Condensate
• 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
• Confronting impact parameter dependent JIMWLK evolution with HERA data
• Exclusive vector meson production at HERA from QCD with saturation
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• Geometric scaling in diffractive deep inelastic scattering
• A unified description of diffractive deep inelastic scattering with saturation
• Saturation physics at HERA and RHIC: An unified description
• New observables to test the Color Glass Condensate beyond the large-N_c limit
• Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
• Small x physics and RHIC data
• The elliptic gluon GTMD inside a large nucleus
• Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$
• Wigner, Husimi and GTMD distributions in the Color Glass Condensate
• Semi-inclusive photon-hadron production in pp and pA collisions at RHIC and LHC
• Could saturation effects be visible in a future electron-ion collider?
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
• QCD traveling waves at non-asymptotic energies
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• 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
• The gluon condensation in hadron collisions
• Universality of traveling waves with QCD running coupling
• Saturation and linear transport equation
• A parton shower generator based on the GLR equation
• Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
• Estimation of saturation and coherence effects in the KGBJS equation - a non-linear CCFM equation
• Small-$x$ evolution of dipole amplitude in momentum space: forward--off-forward correspondence
• Spin-glass model of QCD near saturation
• Recent results on saturation and CGC
• The dipole picture in DIS: saturation and heavy quarks