QCD analysis of the CCFR data for $xF_3$ and Higher--Twist C(4)

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.

References

[1]L.F.AbbottandR.M.Barnett,Ann.Phys.125(1980)276.

[2]D.J.BroadhurstandA.L.Kataev,Phys.Lett.B315(1993)179;

X.-D.Ji,Nucl.Phys.B448(1995)51;

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