Analytic Approach to Small-X Structure Functions

Abstract

We present a method for the analytic solution of small $x$ structure functions. The essential small $x$ logarithms are summed to all orders in the anomalous dimensions and coefficient functions. Although we work at leading logarithmic accuracy, the method is general enough to allow the systematic inclusion of sub-leading logarithms. Results and predictions are presented for the gluon density, and the structure functions $F_2(x,Q^2)$ and $F_L(x,Q^2)$. We find that corrections to the simple double logarithmic calculation are important in the HERA range and obtain good fits to all available data.

15 pages Latex + 5 figures which are compressed as a uuencoded file (Physics Letters B -- to appear)

References in corpus (8)

• High-Energy Factorization and Small-X Deep Inelastic Scattering Beyond Leading Order
• A Measurement of the Proton Structure Function $F_2(x,Q^2)$
• Double Asymptotic Scaling at HERA
• QCD Scaling Violation at Small x
• A Direct Test of Perturbative QCD at Small x
• Dijet Cross Sections in Photoproduction at HERA
• Determining the Gluon Distributions in the Proton and Photon from Two-Jet Production at HERA
• Direct Photoproduction of Jets in the KT Factorisation Prescription

Cited by in corpus (18)

• A unified BFKL and GLAP description of $F_2$ data
• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Structure Functions of the Nucleon and their Interpretation
• The Evolution of Unpolarized Singlet Structure Functions at Small x
• Small x behaviour of parton distributions with soft initial conditions
• Small x behavior of parton distributions. A study of higher twist effects
• Limitations on using the operator product expansion at small values of x
• Dimensional Regularisation and Factorisation Schemes in the BFKL Equation at Subleading Leve
• The Evolution of Unpolarized and Polarized Structure Functions at Small $x$
• Renormalization Scheme Consistent Structure Functions, Including Leading ln (1/x) Terms
• The description of F2 at small x incorporating angular ordering
• Small x resummations confronted with F_2(x,Q^2) data
• A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions
• Working Group Report on the Structure of the Proton
• Limitations of small x resummation methods from F_2 data
• Theoretical issues of small $x$ physics
• Deep Inelastic Scattering at HERA
• Further analysis of the BFKL equation with momentum cutoffs