A Numerical Estimate of the Small-$k_T$ Region in the BFKL Pomeron

Abstract

A computer study is performed to estimate the influence of the small-$k_T$ region in the BFKL evolution equation. We consider the small-x region of the deep inelastic structure function $F_2$ and show that the magnitude of the small-$k_T$ region depends on $Q^2$ and $x_B$. We suggest that the width of the $\log k_T^2$-distribution in the final state may serve as an additional footprint of BFKL dynamics. For diffractive dissociation it is shown that the contribution of the infrared region is large - even for large $Q^2$. This contribution becomes smaller only if restrictions on the final state are imposed.

15 pages, latex, 9 figures ,revised version, some discussion added, one reference added, two figures removed, final version to be published in Phys. Lett. B

References in corpus (5)

• First Measurement of the Deep--Inelastic Structure of Proton Diffraction
• Measurement of the Cross Section for the Reaction $γp \to \jpsi~p$ with the ZEUS Detector at HERA
• Exclusive ${\rho }^0$ production in deep inelastic electron-proton scattering at HERA
• Transverse Energy and Forward Jet Production in the Low $x$ Regime at HERA
• The Gluon Density of the Proton at Low $x$ from a QCD Analysis of $F_2$

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• NLO BFKL Equation, Running Coupling and Renormalization Scales
• Quark-Antiquark Production in DIS Diffractive Dissociation
• Scale Anomaly and "Soft" Pomeron in QCD
• Bootstrap and momentum transfer dependence in small x evolution equations
• The BFKL high energy asymptotics in the next-to-leading approximation
• The chaotic effects in a nonlinear QCD evolution equation
• The BFKL Pomeron with running coupling constant: how much of its hard nature survives?
• The Challenge of Small x
• A Study of the Gluon Ladder in Diffractive Processes
• Monte Carlo calculations for the hard Pomeron
• The BFKL Pomeron: Can it be Detected?
• The DLLA limit of BFKL in the Dipole Picture
• The non-forward BFKL equation and infrared effects