THE GLUON DISTRIBUTION AT SMALL x OBTAINED FROM A UNIFIED EVOLUTION EQUATION.

Abstract

We solve a unified integral equation to obtain the $x,Q_T$ and $Q$ dependence of the gluon distribution of a proton in the small $x$ regime; where $x$ and $Q_T$ are the longitudinal momentum fraction and the transverse momentum of the gluon probed at a scale $Q$. The equation generates a gluon with a steep $x^{-\lambda }$ behaviour, with $\lambda \sim 0.5$, and a $Q_T$ distribution which broadens as $x$ decreases. We compare our solutions with, on the one hand, those that we obtain using the double-leading-logarithm approximation to Altarelli-Parisi evolution and, on the other hand, to those that we determine from the BFKL equation.

LaTeX file with 10 postscript figures (uuencoded)

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
• Implications of Scaling Violations of F2 at HERA for Perturbative QCD

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