The QCD analysis of the $xF_3$ structure function measured in deep-inelastic scattering of neutrinos and antineutrinos on an iron target at the Fermilab Tevatron is done in 1--, 2-- and 3--loop order of QCD. The x dependence of the higher--twist contributi
Theabsolutevalueofh(x)slightlydecreasesfromLOtoNNLO t.ItmaybeindicatesaspecialroleofhigherorderperturbativeQCDcorrectionsrevealsbypQCDrenormalontechnique[25]:athigherorderxF3in(5)describese ectivelythepowercorrections.
De nitetheoreticalpredictionsarepresentedforthe rstmomentofh(x)which contributestotheGLSsumrule[21]:h1=01h(x)
π+...±0.02 0.07
Q2
D/N+O(1/Q4)Itshouldbenotedthatthe twithoutthenucleare ectRF=1providesLO,R=1NLO,R=1NNLO,R=1h1=0.11±0.51,h1=0.12±0.40andh1=0.12±0.48in
agoodagreementwithpreviousresults.Thelargecontributionofsmallxregiontoh1needstheshadowingcorrectiontakingintoaccountformoredetailanalysis
[26].
Inconclusionitshouldbestressed,thatforprecisedeterminationoftheHTcontribu-tiontoSFtheroleofnucleare ectshouldbeclari edandamorerealisticapproximationFe/NFeNforRF=F3/F3isneeded.Apossibleinterplayofthenucleare ectandTMCwasconsideredin[27].Wealsodidnottakeintoaccountthethresholde ectsonQ2evolutionofSFduetoheavyquarks[28]whichisnecessaryowingtoawidekinematicalregionofdataunderconsideration.
Acknowledgements.
TheauthorisgratefultoProf.M.V.Tokarevfordiscussions.ThisinvestigationhasbeensupportedinpartbyINTASgrantNo93-1180andbytheRussianFoundationforFundamentalResearch(RFFR)N95-02-04314a.
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