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Higher twists and α s (M Z) extractions from the NNLO QCD analysis of the CCFR data for the xF 3 structure function. Abstract A detailed next-to-next-to-leading order (NNLO) QCD analysis is performed for the experimental data of the CCFR collaboration for the xF 3 structure function. Theoretical ambiguities of the results of our NNLO fits are estimated by application of the Padé resummation technique and variation of the factorization and renormal-ization scales. The NNLO and N 3 LO α s (Q 2) M S-matching conditions are used. In the process of the fits we are taking account of twist-4 1/Q 2-terms. We found that the amplitude of the x-shape of the twist-4 factor is decreasing in NLO and NNLO, though some remaining twist-4 structure seems to retain in NNLO in the case when only statistical uncertainties are taken into account. The question of the stability of these results to the application of the [0/2] Padé resummation technique is considered. Our NNLO results for α s (M Z) values, extracted from the CCFR xF 3 data, are α s (M Z) = 0.118 ± 0.002(stat) ± 0.005(syst) ± 0.003(theory) provided the twist-4 contributions are fixed through the infrared renormalon model and α s (M Z) = 0.121 +0.007 −0.010 (stat) ± 0.005(syst) ± 0.003(theory) provided the twist-4 terms are considered as free parameters. 1 1. Introduction. Deep-inelastic lepton-nucleon scattering (DIS) belongs to classical and constantly studied processes in modern particle physics. The traditionally measurable characteristics of νN DIS are SFs (structure functions) F 2 and xF 3. It should be stressed that the program of getting information about the behavior of SFs of νN DIS is among the aims of the experimental program of Fermilab Tevatron and CCFR/NuTeV collaboration, in particular. The CCFRR collaboration started to study the νN scattering process in 1980 [1]. The data for SFs of νN DIS, obtained by a follower of the CCFRR collaboration, namely, the CCFR group, were distributed among the potential users in the beginning of 1997 [2], while the final results of the original CCFR DGLAP [3] NLO analysis of these data were presented in the journal publication of Ref.[2]. This experimental information was already used in the process of different NLO analyses , performed by CTEQ, MRST, and GRV groups (see Refs.[4, 5, 6], respectively). Subsequent steps of performing NLO and the first NNLO analysis of the CCFR data with the …