Scaling violation and shadowing corrections at HERA

Abstract

Abstract:We study the value of shadowing corrections (SC) in HERA kinematic region in Glauber -Mueller approach. Since the Glauber -Mueller approach was proven in perturbative QCD in the double logarithmic approximation (DLA), we develop the DLA approach for deep inelastic structure function which takes into account the SC. Our estimates show small SC for F 2 in HERA kinematic region while they turn out to be sizable for the gluon structure function. We compare our estimates with those for gluon distribution in leading order (LO) and next to leading order (NLO) in the DGLAP evolution equations. *

New possibilities of old soft pomeron in DIS

“…These restrictions were taken into account when fitting (6)(7)(8)(9)(10)(11)(12)(13) to the available experimental data.…”

“…How important are the shadowing corrections (SC) to the hard pomeron at small values of x [4,5,8,9] ? Does the Froissart-Martin bound for hadronic total cross-sections remain valid for γp-interaction?…”

“…However, numerical estimates of SC originated from short distances show [8,13] that these effects are not small though they do not change qualitatively the behaviour of structure functions at least at moderate Q 2 and when x ∼ < 10 −2 . As for the unitarity condition in DIS, there is a common belief that the Froissart-Martin bound can not be proved for a process including "external" offmass-shell particles.…”

The effect of screening on the x and Q2 behaviour of F2 slopes

“…In the second diagram of Fig.2 the relevant integration is over the size of the constituent quark ( see Refs. [19] [20] ). Eq.…”

“…Such predictions have been discussed previously ( see Refs. [10,15,19,25] ) and we consider them here as a limit with which we can compare our actual calculations.…”