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Logarithmic and power-law scaling violation in deep inelastic lepton scattering. QCD analysis of experimental data

Journal Article · · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)
OSTI ID:5543703
We have analyzed the experimental data of the European Muon Collaboration on deep inelastic muon scattering in hydrogen. We have studied the effects of the logarithmic and power-law violation of scaling. This study was based on the predictions of QCD for the structure functions in the second order of perturbation theory in the running coupling constant ..cap alpha../sub s/(Q/sup 2/), taking into account also the lowest-order 1/Q/sup 2/ correction. We have established a strong dependence of the QCD parameter ..lambda.., which we obtain from the experimental data, on the absolute magnitude of the power-law correction. We show that if one does not take account of this type of corrections the conclusions concerning the magnitude of ..lambda.. and the experimental status of QCD can be in error. We discuss the importance of the study of all aspects of power-law scaling violation as a source of new information on the structure of the nucleon. We have obtained some quantitative characteristics of the first 1/Q/sup 2/ power-law correction to the structure functions. Finally we discuss possible ways of separating the logarithmic effects from the power-law effects in the experimental data on deep inelastic lepton scattering.
Research Organization:
Joint Institute for Nuclear Research
OSTI ID:
5543703
Journal Information:
Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 40:3; ISSN SJNCA
Country of Publication:
United States
Language:
English