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 $\bar{q}qG$ 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 $r_{\perp }\sim 1Ge{V}^{-1}$, 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.

37 pages, and 16 figures (these are now included)(gzip compressed and uuencoded)

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Cited by in corpus (43)

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• Solution to the evolution equation for high parton density QCD
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• New Scaling at High Energy DIS
• HERA Collider Physics
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• Diffractive Dijet Production in Deep Inelastic Scattering and Photon-Hadron Collisions in the Color Glass Condensate
• Inclusive and Diffractive Structure Functions at Small x
• On the one loop ${\gamma }^{(\ast )}\to q\bar{q}$ impact factor and the exclusive diffractive cross sections for the production of two or three jets
• Large Rapidity Gap Events in Deep Inelastic Scattering
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• Geometric scaling and QCD evolution
• The effect of screening on the $x$ and $Q^2$ bhaviour of $F_2$ slopes
• The $F_2$ slope and shadowing corrections in DIS
• Hard scattering factorization and light cone hamiltonian approach to diffractive processes
• Color transparency in deeply inelastic diffraction
• A unitary model for structure functions and diffractive production at small x
• A Pomeron Approach to Hadron-Nucleus and Nucleus-Nucleus "Soft" Interactions at High Energy
• Deep Inelastic Scattering Data and the Problem of Saturation in Small-x Physics
• Conformal invariant saturation
• Gluon shadowing in the low x region probed by the LHC
• Momentum Transfer Dependence of the Differential Cross Section for $J/\psi$ Production
• Shadowing Corrections and Diffractive Production in DIS on Nuclei
• Higher twists and maxima for DIS on nuclei in high density QCD region
• Soft Double-Diffractive Higgs Production at Hadron Colliders
• Survival probability for high mass diffraction
• Has HERA reached a new QCD regime?
• Survival Probability of Large Rapidity Gaps
• Diffractive charm jet production at hadron colliders in the two-gluon exchange model
• Unitarity Corrections to the Proton Structure Functions through the Dipole Picture
• Higher Twist Corrections and Maxima for DIS on a Proton in the High Density QCD Region
• DGLAP evolution for DIS diffraction production of high masses
• Diffractive light quark jet and gluon jet production at hadron colliders in the two-gluon exchange model
• Quark initiated coherent diffractive production of muon pair and W boson at hadron colliders
• CGC/saturation approach: an impact-parameter dependent model for diffraction production in DIS
• Modified homotopy approach for diffractive production in the saturation region
• Low-x Physics
• Diffractive D_s production in charged current DIS
• Diffractive hadron production in DIS off heavy nuclei and gluon saturation
• Sudakov Form Factors in Leptoproduction of Vector Mesons