Solution to the Balitsky-Kovchegov equation with the collinearly improved kernel including impact-parameter dependence

Abstract

The solution to the impact-parameter dependent Balitsky-Kovchegov equation with the collinearly improved kernel is studied in detail. The solution does not present the phenomenon of Coulomb tails at large impact parameters that have affected previous studies. The origin of this behaviour is explored numerically. It is found to be linked to the fact that this kernel suppresses large daughter dipoles. Solutions based on a physics motivated form of the initial condition are used to compute predictions for structure functions of the proton and the exclusive photo- and electroproduction of vector mesons. A reasonable agreement is found when comparing to HERA and LHC data.

arXiv comment29 pages, 17 figures

References in corpus (66)

• Big-Bang Nucleosynthesis
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Wilson renormalization group for low x physics: towards the high density regime
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• The Renormalization Group Equation for the Color Glass Condensate
• Combined Measurement and QCD Analysis of the Inclusive ep Scattering Cross Sections at HERA
• Unitarity at small Bjorken x
• A Large Hadron Electron Collider at CERN: Report on the Physics and Design Concepts for Machine and Detector
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• An Impact Parameter Dipole Saturation Model
• Exclusive diffractive processes at HERA within the dipole picture
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Small-x physics in perturbative QCD
• Triumvirate of Running Couplings in Small-x Evolution
• Elastic J/Psi Production at HERA
• AAMQS: A non-linear QCD analysis of new HERA data at small-x including heavy quarks
• Off-diagonal distributions fixed by diagonal partons at small $x$ and $\xi$
• Evidence of strong proton shape fluctuations from incoherent diffraction
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Single inclusive particle production at high energy from HERA data to proton-nucleus collisions
• Solving The High Energy Evolution Equation Including Running Coupling Corrections
• Resumming double logarithms in the QCD evolution of color dipoles
• Elastic Photoproduction of J/psi and Upsilon Mesons at HERA
• Impact parameter dependent colour glass condensate dipole model
• The triple-pomeron regime and the structure function of the pomeron in the diffractive deep inelastic scattering at very small x
• Collinearly-improved BK evolution meets the HERA data
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• Colour dipoles and rho, phi electroproduction
• Scanning the BFKL pomeron in elastic production of vector mesons at HERA
• Exclusive J/$\psi$ photoproduction off protons in ultra-peripheral p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Improving the kinematics for low-x QCD evolution equations in coordinate space
• Diffractive Electroproduction of rho and phi Mesons at HERA
• LHC Forward Physics
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Next-to-leading order Balitsky-Kovchegov equation with resummation
• Forward $J/\psi$ production in proton-nucleus collisions at high energy
• Non-linear evolution in QCD at high-energy beyond leading order
• Exclusive electroproduction of $\varphi$ mesons at HERA
• Exclusive photoproduction of {\bf ${\rm Y}$} mesons at HERA
• Measurement of the exclusive ${\rm Y}$ production cross-section in $pp$ collisions at $\sqrt{s}=$7 TeV and 8 TeV
• An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD
• Prompt atmospheric neutrino fluxes: perturbative QCD models and nuclear effects
• Diffractive Photoproduction of Psi(2S) Mesons at HERA
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Energy dependence of dissociative $J/\psi$ photoproduction as a signature of gluon saturation at the LHC
• Confronting impact parameter dependent JIMWLK evolution with HERA data
• The Hadronic Final State at HERA
• Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation
• Energy dependence of exclusive $J/\psi$ photoproduction off protons in ultra-peripheral p-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• One-loop corrections to light cone wave functions: the dipole picture DIS cross section
• A unified description of diffractive deep inelastic scattering with saturation
• Small x nonlinear evolution with impact parameter and the structure function data
• Exact kinematics in the small x evolution of the color dipole and gluon cascade
• Deep inelastic scattering in the dipole picture at next-to-leading order
• Measurement of exclusive ${\rm Y}$ photoproduction from protons in pPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Forward di-hadron back-to-back correlations in $\mathbf{pA}$ collisions from rcBK evolution
• Collinearly improved kernel suppresses Coulomb tails in the impact-parameter dependent Balitsky-Kovchegov evolution
• Exclusive vector meson production and small-x evolution
• Dissociative production of vector mesons at electron-ion colliders
• The neutrino-nucleon cross section at UHE and its astrophysical implications

Cited by in corpus (30)

• The ALICE experiment: a journey through QCD
• Mining for Gluon Saturation at Colliders
• Color Glass Condensate at next-to-leading order meets HERA data
• Relativistic corrections to the vector meson light front wave function
• First measurement of the $|\text{t}|$-dependence of coherent $J/\psi$ photonuclear production
• Sub-femtometer scale color charge fluctuations in a proton made of three quarks and a gluon
• Energy dependence of coherent photonuclear production of J/$\psi$ mesons in ultra-peripheral Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=5.02 TeV
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Photonuclear $J/\psi$ production at the LHC: proton-based versus nuclear dipole scattering amplitudes
• Diffractive deeply inelastic scattering in future electron-ion colliders
• Finite-size effects on small-$x$ evolution and saturation in proton and nuclear targets
• High energy asymptotic behavior of the $S$-matrix in the saturation region with the smallest dipole running coupling prescription
• Predictions for nuclear structure functions from the impact-parameter dependent Balitsky-Kovchegov equation
• Cubic color charge correlator in a proton made of three quarks and a gluon
• Extended collinearly-improved Balitsky-Kovchegov evolution equation in target rapidity
• Momentum transfer squared dependence of exclusive quarkonia photoproduction in UPCs
• Exclusive processes in $ep$ collisions at the EIC and LHeC: A closer look on the predictions of saturation models
• Solutions to the Balitsky-Kovchegov equation including the dipole orientation
• Large impact parameter behaviour in the CGC/saturation approach: a new non-linear equation
• Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
• Exclusive vector meson productions with the analytical solution of Balitsky-Kovchegov Equation
• QCD traveling waves phenomenology revisited
• Exclusive quarkonium photoproduction: predictions with the Balitsky-Kovchegov equation including the full impact-parameter dependence
• Non-linear evolution in the re-summed next-to-leading order of perturbative QCD:\confronting the experimental data
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Contribution of the non-linear term in the Balitsky-Kovchegov equation to the nuclear structure functions
• Determination of the initial condition for the Balitsky-Kovchegov equation with transformers
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• Probing nuclear structure with the Balitsky-Kovchegov equation in full impact-parameter dependence