Universality and tree structure of high energy QCD
arXiv:hep-ph/0401215 · doi:10.1103/PhysRevD.70.077503
Abstract
Using non-trivial mathematical properties of a class of nonlinear evolution equations, we obtain the universal terms in the asymptotic expansion in rapidity of the saturation scale and of the unintegrated gluon density from the Balitsky-Kovchegov equation. These terms are independent of the initial conditions and of the details of the equation. The last subasymptotic terms are new results and complete the list of all possible universal contributions. Universality is interpreted in a general qualitative picture of high energy scattering, in which a scattering process corresponds to a tree structure probed by a given source.
4 pages, 3 figures
References in corpus (6)
- Front propagation into unstable states
- Geometric scaling as traveling waves
- Traveling wave fronts and the transition to saturation
- Universal features of JIMWLK and BK evolution at small x
- Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
- A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
Cited by in corpus (112)
- Exclusive diffractive processes at HERA within the dipole picture
- Saturation Physics and Deuteron--Gold Collisions at RHIC
- Prompt neutrino fluxes from atmospheric charm
- Relating high-energy lepton-hadron, proton-nucleus and nucleus-nucleus collisions through geometric scaling
- Solving The High Energy Evolution Equation Including Running Coupling Corrections
- Impact-parameter dependent Color Glass Condensate dipole model and new combined HERA data
- Odderon in the Color Glass Condensate
- A Langevin equation for high energy evolution with pomeron loops
- Color Glass Condensate and Glasma
- Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
- Saturation QCD predictions with heavy quarks at HERA
- Extension of the JIMWLK Equation in the Low Gluon Density Region
- Quark pair production in high energy pA collisions: General features
- Gluon saturation and inclusive hadron production at LHC
- Saturation in Deep Inelastic Scattering from AdS/CFT
- 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
- Cronin effect and high-p_T suppression in the nuclear gluon distribution at small x
- Gluon saturation and energy dependence of hadron multiplicity in pp and AA collisions at the LHC
- A unified description of diffractive deep inelastic scattering with saturation
- Geometric scaling in diffractive deep inelastic scattering
- Odderon and seven Pomerons: QCD Reggeon field theory from JIMWLK evolution
- Summing Pomeron loops in the dipole approach
- Introduction to the physics of the total cross-section at LHC: A Review of Data and Models
- The high energy asymptotics of scattering processes in QCD
- Systematics of geometric scaling
- Treading on the cut: Semi inclusive observables at high energy
- Dynamical entropy of dense QCD states
- Color Glass Condensate and Glasma
- Fluctuations effects in high-energy evolution of QCD
- Production of Forward Rapidity Photons in High Energy Heavy Ion Collisions
- On the probability distribution of the stochastic saturation scale in QCD
- Exclusive Higgs boson production at the LHC: hard rescattering corrections
- The Balitsky-Kovchegov equation in full momentum space
- On the Probabilistic Interpretation of the Evolution Equations with Pomeron Loops in QCD
- Traveling waves and geometric scaling at non-zero momentum transfer
- Forward gluon production in hadron-hadron scattering with Pomeron loops
- Scaling Phenomena in Gravity from QCD
- High energy amplitude in the dipole approach with Pomeron loops: asymptotic solution
- Quantum chromodynamics at high energy and statistical physics
- Single transverse-spin asymmetries in forward pion production at high energy: incorporating small-x effects in the target
- A zero-dimensional model for high-energy scattering in QCD
- Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
- One-dimensional model for QCD at high energy
- A modified Balitsky-Kovchegov equation
- An Analytical Solution of the Balitsky-Kovchegov Equation with the Homogeneous Balance Method
- Consequences of strong fluctuations on high-energy QCD evolution
- cross section from the dipole model in momentum space
- Investigating the exclusive protoproduction of dileptons at high energies
- Systematic Analysis of Scaling Properties in Deep Inelastic Scattering
- Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
- CGC/saturation approach: a new impact-parameter dependent model in the next-to-leading order of perturbative QCD
- QCD traveling waves at non-asymptotic energies
- Non-linear QCD dynamics and exclusive production in collisions
- Non-linear equation: energy conservation and impact parameter dependence
- O(α_s^2)-corrections to JIMWLK evolution from the classical equations of motion
- Geometric Scaling and QCD Dynamics in DIS
- Nuclear DVCS at small-x using the color dipole phenomenology
- Testing Non-linear Evolution with Running Coupling Corrections in and collisions
- Page Entropy of Proton System in Deep-Inelastic-Scattering at Small-
- On correlations and discreteness in non-linear QCD evolution
- Liouville field theory for gluon saturation in QCD at high energy
- Conformal symmetry and the Balitsky-Kovchegov equation
- BFKL Pomeron: modeling confinement
- CGC/saturation approach for high energy soft interactions: in proton-proton collisions
- Travelling waves and impact-parameter correlations
- Parametric form of QCD travelling waves
- A simple model for the nuclear unintegrated gluon distribution
- Solution of the Fan Diagram Equation in 2+1 Dimensional QCD
- Solution to the Balitsky-Kovchegov equation in the saturation domain
- Inclusive hadron and photon production at LHC in dipole momentum space
- QCD traveling waves beyond leading logarithms
- Universality of QCD traveling-waves with running coupling
- Dense-dilute factorization for a class of stochastic processes and for high energy QCD
- Exclusive processes in collisions at the EIC and LHeC: A closer look on the predictions of saturation models
- Semiclassical solution to the BFKL equation with massive gluons
- Geometric scaling behavior of the scattering amplitude for DIS with nuclei
- Universality of traveling waves with QCD running coupling
- Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region
- Asymptotics of QCD traveling waves with fluctuations and running coupling effects
- DIS and the effects of fluctuations: a momentum space analysis
- QCD traveling waves phenomenology revisited
- Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation
- Saturation and linear transport equation
- Analytic solution of Balitsky-Kovchegov equation with running coupling constant using homogeneous balance method
- An analytical solution of Balitsky-Kovchegov equation using homotopy perturbation method
- Extended Geometric Scaling from Generalized Traveling Waves
- Traveling wave solution of the Reggeon Field Theory
- BFKL ansatz for BK equation in conformal basis
- Strong interactions in air showers
- Exclusive vector meson production with leading neutrons in a saturation model for the dipole amplitude in mixed space
- Infrared instability from nonlinear QCD evolution
- High density QCD and nucleus-nucleus scattering deeply in the saturation region
- Traveling waves in discretized Balitsky-Kovchegov evolution
- Running coupling and pomeron loop effects on inclusive and diffractive DIS cross sections
- Effects of gluon number fluctuations on photon - photon collisions at high energies
- Soft processes at high energy without soft Pomeron: a QCD motivated model
- High energy electroweak DVCS processes in neutrino-nucleon scattering
- On the maximal noise for stochastic and QCD traveling waves
- Azimuthal angle correlations in hadron-nucleus scattering: enhanced diagrams
- Momentum space saturation model for deep inelastic scattering and single inclusive hadron production
- Resummation of projectile-target multiple scatterings and parton saturation
- Traveling waves and the renormalization group improved Balitsky-Kovchegov equation
- Homotopy approach for scattering amplitude for running QCD coupling
- Investigation of proton structure function at HERA in light of an analytical solution to Balitsky-Kovchegov equation
- First correction to JIMWLK evolution from the classical equations of motion
- Saturation momentum at fixed and running QCD coupling
- Spin-glass model of QCD near saturation
- Anomalous diffusion in QCD matter
- Diffractive photon dissociation in the saturation regime
- Universality aspects of quantum corrections to transverse momentum broadening in QCD media
- Cronin momentum behavior in saturation model for , , collisions