Diffractive Leptoproduction of Small Masses in QCD

Abstract

In this paper we consider the process of diffraction dissociation in deep inelastic scattering producing a small mass. This process is analyzed by the calculation of $\bar q\, q$ and $\bar q\, q\, G$ production. We show that the small distance contributions ($r_{\perp}\,\propto\,1/Q$) to the longitudinal polarised virtual photon dominate the diffractive channels. Formulae for the cross section using the gluon density are written within the framework of perturbative QCD. We show that the production of small masses by a transverse polarised photon is concentrated at moderate values of $r_{\perp} \,\sim\,1 GeV^{-1}$, where the pQCD approach is valid. It is shown that only $\bar q\, q$ pair production contributes to diffraction dissociation with $\b\,>\,$ 0.4 and the possibility to extract the values of the gluon density from the measurements in this kinematic region is discussed. Shadowing corrections are assessed for both longitudinal and transverse polarised photons and estimates of the different damping factors are given. The relation between diffractive production and the corrections to $F_2$ is alluded to. The evolution of the diffractive structure function is studied and a solution to the difractive evolution equations is proposed.