A modified Balitsky-Kovchegov equation

Abstract

We propose a modified version of the Balitsky-Kovchegov (B-K) evolution equation, which includes the main NLO corrections. We use the result that the main NLO corrections to the BFKL kernel are the LO DGLAP corrections. We present a numerical solution of the modified nonlinear equation, and compare with the solution of the unmodified B-K equation. We show that the saturation momentum has a sharp increase in the LHC energy range. Our numerical solution indicates that the influence of the pre-asymptotic corrections, related to the full anomolous dimensions of the DGLAP equation, are rather large. These corrections moderate the energy behaviour of the amplitude, as well as the value of the saturation scale. All our calculations are made with a fixed value of ${\alpha }_s$.

17 pages, 8 figures

References in corpus (20)

• Cronin Effect and High-p_T Suppression in pA Collisions
• Geometric scaling as traveling waves
• Parton saturation and N_part scaling of semi--hard processes in QCD
• Traveling wave fronts and the transition to saturation
• Nuclear Modification Factor in d+Au Collisions: Onset of Suppression in the Color Glass Condensate
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Renormalisation group improved small-x Green's function
• On solutions of the Balitsky-Kovchegov equation with impact parameter
• Small-x physics beyond the Kovchegov equation
• QCD Saturation and Deuteron-Nucleus Collisions
• Universality and tree structure of high energy QCD
• From Color Glass to Color Dipoles in high-energy onium--onium scattering
• Unintegrated gluon distribution from modified BK equation
• Rare fluctuations and the high-energy limit of the S-matrix in QCD
• A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei
• Towards a new global QCD analysis: low x DIS data from non-linear evolution
• Towards a New Global QCD Analysis: Solution to the Non-Linear Equation at Arbitrary Impact Parameter
• The spread of the gluon k_t-distribution and the determination of the saturation scale at hadron colliders in resummed NLL BFKL
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Impact Parameter Dependence in the Balitsky-Kovchegov Equation

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• HERA-data in the light of small x evolution with state of the art NLO input
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Asymptotic neutrino-nucleon cross section and saturation effects
• The BFKL Pomeron Calculus in the dipole approach
• Non-linear equation: energy conservation and impact parameter dependence
• Antishadowing effects in the unitarized BFKL equation
• Unitarity bound for gluon shadowing
• Inclusive Gluon Production in the QCD Reggeon Field Theory: Pomeron Loops Included
• High density QCD and nucleus-nucleus scattering deeply in the saturation region
• Soft processes at high energy without soft Pomeron: a QCD motivated model
• On the Nuclear Modification Factor at RHIC and LHC
• Saturation effects at LHC energies
• BFKL Pomeron calculus: nucleus-nucleus scattering
• High-energy factorization and evolution with improved kinematics
• Traveling waves and the renormalization group improved Balitsky-Kovchegov equation
• Saturation momentum at fixed and running QCD coupling
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x