Twist decomposition of non-linear effects in Balitsky-Kovchegov evolution of proton structure functions

Abstract

Effects of non-linear small-x evolution of the gluon distribution given by the Balitsky-Kovchegov equation are analyzed within the collinear approximation framework. We perform a twist decomposition of the proton structure functions F2 and FL obtained from the Balitsky-Kovchegov equation using the Mellin representation of the scattering cross-sections at high energies. In both the structure functions we find strong corrections coming from the non-linear effects in the gluon evolution at twist 2, and strongly suppressed higher twist effects. This implies that unitarization effects of high energy scattering amplitudes are mostly the leading twist effect. Furthermore we consider the double logarithmic limit of the Balitsky--Kovchegov equation for the collinear gluon distribution, and compare the result to the Gribov-Levin-Ryskin equation. We find that these two equations differ by two powers of the hard scale logarithm for the large scales.

arXiv comment21 pages, 3 figures, the final version published in European Physical Journal C

References in corpus (49)

• 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
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Color Glass Condensate
• 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
• The Renormalization Group Equation for the Color Glass Condensate
• Saturation in Diffractive Deep Inelastic Scattering
• 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
• Geometric scaling for the total gamma^* p cross section in the low x region
• Universality of Unintegrated Gluon Distributions at small x
• A Modification of the Saturation Model: DGLAP evolution
• Small-x physics in perturbative QCD
• The Energy Dependence of the Saturation Momentum
• Geometric scaling as traveling waves
• Solution to the evolution equation for high parton density QCD
• Transverse momentum dependent (TMD) parton distribution functions: status and prospects
• The Large Hadron-Electron Collider at the HL-LHC
• The QCD Pomeron with Optimal Renormalization
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• Traveling wave fronts and the transition to saturation
• The Energy Dependence of the Saturation Momentum from RG Improved BFKL Evolution
• Collinearly-improved BK evolution meets the HERA data
• New Scaling at High Energy DIS
• Unitarity Corrections in High Energy QCD
• Diffusion into infra-red and unitarization of the BFKL pomeron
• Jalilian-Marian, Iancu, McLerran, Weigert, Leonidov, Kovner evolution at next to leading order
• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• Screening effects in the ultrahigh energy neutrino interactions
• Color Glass Condensate at next-to-leading order meets HERA data
• Unintegrated gluon distribution from modified BK equation
• On the small-x evolution of the color quadrupole and the Weizsäcker-Williams gluon distribution
• An estimate of higher twist at small x and low Q^2 based upon a saturation model
• Study of HERA ep Data at Low Q^2 and Low x_Bj and the Need for Higher-Twist Corrections to Standard pQCD Fits
• A momentum Space Analysis of the Triple Pomeron Vertex in pQCD
• Solving effective field theory of interacting QCD pomerons in the semi-classical approximation
• Twist expansion of the nucleon structure functions, F2 and FL, in the DGLAP improved saturation model
• An Estimate of Twist-Four Contributions at Small x and Low Q^2
• Unveiling saturation effects from nuclear structure function measurements at the EIC
• Evidence of strong higher twist effects in diffractive DIS at HERA at moderate Q2
• Evidence of quasi-partonic higher-twist effects in deep inelastic scattering at HERA at moderate $Q^2$
• Twist decomposition of proton structure from BFKL and BK amplitudes

Cited by in corpus (1)

• Investigation of the ratio $\frac{{\sigma }_r}{F_2}(Q^2/s,Q^2)$ in the momentum-space approach