QCD analysis of the CCFR data for $xF_3$ and Higher--Twist C(2)

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

Atpresent,theprecisemeasurementsofstructurefunctions(SF)anddetailedthe-oreticalcalculationsofQCDpredictionsforscalingviolations(upto3–looporderforxF3(x,Q2)andF2(x,Q2))provideanimportantmeansofaccuratecomparisonofQCDwithexperiment.Theimportanceofhigher–twist(HT)contributiontoSFwaspointedfromtheverybeginningofQCDcomparisonwithexperimentaldata[1]onSF.De-spiteafastprogressintheoreticalQCDcalculations

of

power

corrections

to

nonsinglet

SF

andsumrules[2,3](forreviewsandreferencessee[4]),theshapeofHT(order1/Q2)contributionsismeasuredonlyforF2SF[5]andisstillonlyestimatedforxF3

[6].Inthepresentnote,thexdependenceofHTcontributionisphenomenologycallydeterminedintheframeworkofQCDanalysisoftheexperimentaldataoftheCCFRcollaboration1obtainedatFermilabTevatron[7]forthexF3structurefunctionsofthedeep-inelasticscatteringofneutrinosandantineutrinosonanIrontargetbymeansoftheJacobipolynomialexpansionmethodinthe1–,2–and3–looporderofQCD.

Thedetailsofthismethodaredescribedin[8]-[13].TheQ2-evolutionoftheQCDmomentsM3(N,Q2)isgivenbyperturbativeQCD[14,15].

QCDM3(N,Q2)=αS(Q20)

AnnouncedbyCCFRcollaborationreevaluationofthestructurefunctionscouldchangetheresultsoftheQCDanalysis.1

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