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
UsingMellinmoments(1),(4),expression
(2)
for
SF
andtakingtarget–masscorrec-pQCDtions(TMC)intoaccount,wehavereconstructedxF3(x,Q2).Fivefreeparameters:A,b,c,γandQCDparameterΛ
=184±
31MeVbutexhibitsrelativelylargestatisticalerrors.ResultsoftheNNLO.006NNLO2 tgivestheconstantofstronginteractionαS(MZ)=0.104+0 0.008(syst.)inagreementwithintheerrorswithusualDISresults[19]andwiththepredictionsofCCFR-NuTeVCollaboration[20]basedonthetestoftheGross–LlewellynSmith(GLS)sumrule.MS
Theshapeofh(x)demonstratesforLO,NLOandNNLO taverysmallvalueat0.015≤x≤0.045,anegativevalueat0.1≤x≤0.045(withaminimumlocatedataboutx=0.2)andincreasefromanegativetoapositivevalueat0.2≤x≤0.65.Thisbehaviorisinqualitativeagreementwiththeoreticalpredictionsof[3]andreproducesappropriatelythepredictedzeroofh(x):xtheor～0.67whileinourNNLOanalysisxNNL～0.40.Aseparate twithcutso Q2>5GeV2andQ2>10GeV2showsthestabilityofshapeofh(x)andincreaseoferrors.