QCD Scaling Violation at Small x

Abstract

We investigate the evolution of parton densities at small values of the momentum fraction, x, by including resummed anomalous dimensions in the renormalization group equations. The resummation takes into account the leading-logarithmic contributions (α_S \ln x)^k given by the BFKL equation and the next-to-leading-logarithmic corrections from quark evolution. We present numerical results for the parton densities and the deep inelastic structure function F_2.

8 pages, Latex, 3 uuencoded figures

References in corpus (3)

• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• Properties of the BFKL equation and structure function predictions for HERA
• The $O(g^4)$ Lipatov Kernels

Cited by in corpus (54)

• Ultrahigh-Energy Neutrino Interactions
• Small-x physics in perturbative QCD
• Pinning down the Glue in the Proton
• Renormalization Group Improved Small-x Equation
• The Large Hadron-Electron Collider at the HL-LHC
• A unified BFKL and GLAP description of $F_2$ data
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Transverse momentum dependent gluon density from DIS precision data
• Structure Functions of the Nucleon and their Interpretation
• Factorization and Resummation of Small x Scaling Violations with Running Coupling
• On the Behaviour of Non--Singlet Structure Functions at Small $x$
• Analytic Continuation of Mellin Transforms up to two-loop Order
• An anomalous dimension for small x evolution
• The Theory of Deeply Inelastic Scattering
• Resummation of Singlet Parton Evolution at Small x
• Perturbatively Stable Resummed Small x Evolution Kernels
• The Evolution of Unpolarized Singlet Structure Functions at Small x
• Non Abelian $q\bar{q}$ contributions to small-$x$ anomalous dimensions
• Heavy Quark Production at High Energy
• k-Factorization and Small-x Anomalous Dimensions
• Small x behaviour of parton distributions with soft initial conditions
• The gluon splitting function at moderately small x
• Small-x Resummation and HERA Structure Function Data
• Asymptotically Free Partons at High Energy
• Conformal Invariance of the Transition Vertex $2\to 4$ gluons
• Resummation of Hadroproduction Cross-sections at High Energy
• Limitations on using the operator product expansion at small values of x
• Recent results on unintegrated parton distributions
• Analytic Approach to Small-X Structure Functions
• The Evolution of Unpolarized and Polarized Structure Functions at Small $x$
• Renormalization Scheme Consistent Structure Functions, Including Leading ln (1/x) Terms
• Less Singular Terms and Small x Evolution in a Soluble Model
• An Estimate of Twist-Four Contributions at Small x and Low Q^2
• Matching next-to-leading-order and high-energy-resummed calculations of heavy-quarkonium-hadroproduction cross sections
• The Challenge of Small x
• BFKL predictions at small x from k_T and collinear factorization viewpoints
• Momentum Conservation at Small x
• Small x resummations confronted with F_2(x,Q^2) data
• The description of F2 at small x incorporating angular ordering
• A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions
• Working Group Report on the Structure of the Proton
• Small$-x$ Resummation Effects in Electroweak Processes
• Limitations of small x resummation methods from F_2 data
• Twist-4 Gluon Recombination Corrections for Deep Inelastic Structure Functions
• Diffractive jet production in lepton-hadron collisions
• Theoretical issues of small $x$ physics
• Deep Inelastic Scattering at HERA
• MSbar quark distribution and dipole scattering matrix elements at high energy
• Perturbative evolution: a different approach at small x
• Collinear and TMD distributions with dynamical soft-gluon resolution scale
• On the n -> 0 limit of gamma_gg(a) in QCD
• The QCD Coupling and Parton Distributions at High Precision
• Properties of inclusive hadron production in Deep Inelastic Scattering on heavy nuclei at low x
• Fall and rise of the gluon splitting function