QCD analysis of the CCFR data for $xF_3$ and Higher--Twist C(3)

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.

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