Running coupling and power corrections in nonlinear evolution at the high--energy limit

Abstract

A main feature of high-energy scattering in QCD is saturation in the number density of gluons. This phenomenon is described by non-linear evolution equations, JIMWLK and BK, which have been derived at leading logarithmic accuracy. In this paper we generalize this framework to include running coupling corrections to the evolution kernel. We develop a dispersive representation of the dressed gluon propagator in the background of Weiszacker Williams fields and use it to compute O(beta_0^{n-1} alpha_s^n) corrections to the kernel to all orders in perturbation theory. The resummed kernels present infrared-renormalon ambiguities, which are indicative of the form and importance of non-perturbative power corrections. We investigate numerically the effect of the newly computed perturbative corrections as well as the power corrections on the evolution and find that at present energies they are both significant.

62 pages

References in corpus (85)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Harmonic Polylogarithms
• 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
• Green's Functions in the Color Field of a Large Nucleus
• The BFKL Equation from the Wilson Renormalization Group
• BFKL pomeron in the next-to-leading approximation
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Unitarization of the BFKL Pomeron on a Nucleus
• Saturation in Diffractive Deep Inelastic Scattering
• The Intrinsic Glue Distribution at Very Small x
• Renormalons
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Unitarity at small Bjorken x
• Energy Scale(s) and Next-to-leading BFKL Equation
• Single and Double BFKL Pomeron Exchange and a Dipole Picture of High Energy Hard Processes
• Geometric scaling for the total gamma^* p cross section in the low x region
• Relating different approaches to nonlinear QCD evolution at finite gluon density
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Saturation and BFKL dynamics in the HERA data at small x
• Unitarity and the BFKL Pomeron
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• Factorization and high-energy effective action
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Evolution at small x_bj: The Color Glass Condensate
• The Uses of Conformal Symmetry in QCD
• Unitarization of Gluon Distribution in the Doubly Logarithmic Regime at High Density
• The Energy Dependence of the Saturation Momentum
• Evolution of the nuclear modification factors with rapidity and centrality in d+Au collisions at $\sqrt{s_{NN}} = 200 GeV
• Geometric Scaling above the Saturation Scale
• Cronin Effect and High-p_T Suppression in pA Collisions
• Triumvirate of Running Couplings in Small-x Evolution
• Naive nonabelianization and resummation of fermion bubble chains
• Renormalization Group Improved Small-x Equation
• The QCD Pomeron with Optimal Renormalization
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus
• Structure function of the nucleus in the perturbative QCD with $N_c\to \infty$ (BFKL pomeron fan diagrams)
• Renormalisation group improved small-x Green's function
• Universal features of JIMWLK and BK evolution at small x
• Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
• Scale Setting in QCD and the Momentum Flow in Feynman Diagrams
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Numerical analysis of the Balitsky-Kovchegov equation with running coupling: dependence of the saturation scale on nuclear size and rapidity
• Large multiplicity fluctuations and saturation effects in onium collisions
• Parton densities and dipole cross-sections at small x in large nuclei
• Can the QCD running coupling have a causal analyticity structure?
• Resummation of Singlet Parton Evolution at Small x
• Saturation and parton level Cronin effect: enhancement vs suppression of gluon production in p-A and A-A collisions
• Nonlinear evolution in high-density QCD
• The Cronin Effect, Quantum Evolution and the Color Glass Condensate
• Gauss hypergeometric function: reduction, epsilon-expansion for integer/half-integer parameters and Feynman diagrams
• The Running Coupling BFKL Anomalous Dimensions and Splitting Functions
• All-Orders Renormalon Resummations for some QCD Observables
• Scaling phenomena from non-linear evolution in high energy DIS
• Operator Expansion for Diffractive High-Energy Scattering
• Disentangling running coupling and conformal effects in QCD
• Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
• Running Coupling Effects in BFKL Evolution
• Heavy-Quark Fragmentation
• The C parameter distribution in e+e- annihilation
• Parton densities and saturation scale from non-linear evolution in DIS on nuclei
• The interplay between Sudakov resummation, renormalons and higher twist in deep inelastic scattering
• Power corrections and resummation of radiative corrections in the single dressed gluon approximation - the average thrust as a case study
• Renormalon approach to higher-twist distribution amplitudes and the convergence of the conformal expansion
• Normalization of QCD corrections in top quark decay
• Color Neutrality and the Gluon Distribution in a Very Large Nucleus
• Extension of the Color Glass Condensate Approach to Diffractive Reactions
• Longitudinal Resolution in a Large Relativistic Nucleus: Adding a Dimension to the McLerran-Venugopalan Model
• Perturbative and non-perturbative aspects of moments of the thrust distribution in e+e- annihilation
• Small-x Parton Distributions of Large Hadronic Targets
• Gluon shadowing in the low x region probed by the LHC
• A modified Balitsky-Kovchegov equation
• Power corrections in deep inelastic structure functions at large Bjorken x
• Taming the B --> X(s) gamma spectrum by Dressed Gluon Exponentiation
• All Order Running Coupling BFKL Evolution from GLAP (and vice-versa)
• On power corrections in the dispersive approach
• Non-Gaussian Correlations in the McLerran-Venugopalan Model
• Running coupling and Borel singularities at small x

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• Brief Review of Saturation Physics
• A unitarized model of inclusive and diffractive DIS with Q2-evolution
• A parton shower generator based on the GLR equation
• BFKL pomeron with massive gluons and running coupling
• Next-to-Leading Order correction to inclusive particle spectra in the Color Glass Condensate framework
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• Remarks on Diffractive Dissociation within JIMWLK Evolution at NLO
• Bulk quantities in nuclear collisions from running coupling $k_T$-factorization and hybrid simulations
• Nuclear transverse momentum imbalance in the color dipole approach at the LHC regime
• Two-Particle Correlations in Heavy-Light Ion Collisions
• Particle Multiplicities in Nuclear Collisions at the LHC from Saturation Physics
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