Properties of the BFKL equation and structure function predictions for HERA

Abstract

The general properties of the Lipatov or BFKL equation are reviewed. Modifications to the infrared region are proposed. Numerical predictions for the deep-inelastic electron-proton structure functions at small $x$ are presented and confronted with recent HERA measurements.

21 pages, 11 figures, Latex file, Durham preprint DTP 92/28

References in corpus (3)

• Total cross sections
• Proton structure function at small Q^2
• On the Validity of Perturbative Evolution of Structure Functions from Low $Q^2$

Cited by in corpus (60)

• The BFKL Equation from the Wilson Renormalization Group
• The Wilson renormalization group for low x physics: Gluon evolution at finite parton density
• Geometric Scaling above the Saturation Scale
• Pinning down the Glue in the Proton
• Parton Distributions of the Proton
• Hard diffractive electroproduction of vector mesons in QCD
• Unintegrated parton distributions and electroweak boson production at hadron colliders
• Froissart Bound from Gluon Saturation
• Multiplicity distribution of colour dipoles at small~$x$
• QCD Scaling Violation at Small x
• The Gluon Density of the Proton at Low $x$ from a QCD Analysis of $F_2$
• Kt-Factorization vs. Renormalization Group: A small-x Consistency Argument
• THE GLUON DISTRIBUTION AT SMALL x OBTAINED FROM A UNIFIED EVOLUTION EQUATION.
• Elastic double diffractive production of axial-vector χ_c(1^{++}) mesons and the Landau-Yang theorem
• Inclusive production of $J/\psi$ meson in proton-proton collisions at BNL RHIC
• QCD effective charge and the structure function $F_2$ at small-$x$
• Gluon transverse momenta and charm quark-antiquark pair production in $p-\bar{p}$ collisions at Tevatron
• Angular and momentum asymmetry in particle production at high energies
• QCD Predictions for the Transverse Energy Flow in Deep-Inelastic Scattering in the Small x HERA Regime
• A Numerical Estimate of the Small-$k_T$ Region in the BFKL Pomeron
• The chaotic effects in a nonlinear QCD evolution equation
• Can a chaotic solution in the QCD evolution equation restrain high-energy collider physics?
• A new phenomenological Investigation of $KMR$ and $MRW$ $unintegrated$ parton distribution functions
• Renormalization Scheme Consistent Structure Functions, Including Leading ln (1/x) Terms
• Nucleon Structure Functions at Moderate Q**2: Relativistic Constituent Quarks and Spectator Mass Spectrum
• Dijet Production at HERA as a Probe of BFKL Dynamics
• Transverse Energy Flow at HERA
• Minijet and Transverse Energy Production in the BFKL Regime
• Charm quark-antiquark correlations in photon-proton scattering
• The dipole cross section by the unintegrated gluon distribution at small $x$
• Unintegrated gluon distributions and Higgs boson production in proton-proton collisions
• BFKL predictions at small x from k_T and collinear factorization viewpoints
• The description of F2 at small x incorporating angular ordering
• Small x resummations confronted with F_2(x,Q^2) data
• An analytic solution of the BFKL equation with momentum cutoffs
• Quark and gluon distributions at the earliest stage of heavy ion collision
• BFKL Evolution as a Communicator Between Small and Large Energy Scales
• Antishadowing effects in the unitarized BFKL equation
• A Complete Leading-Order, Renormalization-Scheme-Consistent Calculation of Structure Functions
• Dijet correlations at RHIC, leading-order $k_t$-factorization approach versus next-to-leading order collinear approach
• Working Group Report on the Structure of the Proton
• Limitations of small x resummation methods from F_2 data
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• Unified QCD Evolution Equations and the Dominant Behaviour of Structure Functions at Low X
• The gluon condensation in hadron collisions
• Small x resummation in collinear factorisation
• A phenomenological investigation of the integral and the differential versions of the Kimber-Martin$-Ryskin$unintegrated$ parton distribution functions using two different constraints and the MMHT2014 PDF
• The BFKL Pomeron: Can it be Detected?
• Theoretical issues of small $x$ physics
• BFKL versus HERA
• Truncated BFKL Series and Hadronic Collisions
• Structure functions from renormalization group improved small $x$ evolution
• Studies on gluon evolution and geometrical scaling in kinematic constrained unitarized BFKL equation: application to high-precision HERA DIS data
• Further analysis of the BFKL equation with momentum cutoffs
• Deep inelastic events containing a forward photon as a probe of small $x$ dynamics
• Unintegrated parton distributions and meson production in hadronic collisions
• Non-linear evolution of unintegrated gluon density at large values of coupling constant
• Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics
• Gluon distributions from Oliveira-Martin-Ryskin combined BFKL+DGLAP evolution equations
• Charmed Meson Production in Proton - (ANTI)PROTON Collisions