Next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith sum rule and the higher twist effects

Chýla, Jiřı́; Kataev, A. L.

doi:10.1016/0370-2693(92)91278-h

Cited by 56 publications

(74 citation statements)

References 28 publications

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“…Their central value is α s (3 GeV 2 ) = 0.278 [14] 13 and α s (M 2 Z ) = 0.114, thus slightly lower than that of Ref. [46], and significantly lower than our central value predictions (39) and (41). The principal reason for this difference shall be discussed in the following section.…”

Section: Comparison With Other Approachescontrasting

confidence: 77%

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Extraction ofαsfrom the Gross–Llewellyn Smith sum rule using Borel resummation

Contreras¹,

Cvetič²,

Jeong³

et al. 2002

Phys. Rev. D

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Using the CCFR data for the Gross-Llewellyn Smith (GLS) sum rule, we extract the strong coupling constant via Borel resummation of the perturbative QCD calculation. The method incorporates the correct nature of the first infrared renormalon singularity, and employs a conformal mapping to improve the convergence of the QCD perturbation expansion. The important twist-four contribution is calculated from resummation of the perturbation theory, which is based on the ansatz that the higher-twist contribution has a cut singularity only along the positive real axis on the complex coupling plane. Thus obtained, the strong coupling constant corresponding to the central GLS experimental value is in good agreement with the world average.

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Section: Comparison With Other Approachescontrasting

confidence: 77%

“…Resummations of the GLS sum rule based on this method were theoretically and numerically investigated in 1992 by the authors of Ref. [46]. They were confronting the TPS results with the measured values, paying particular attention to the RScl-and RSch-dependence of the predicted values of α s (M 2 Z ; MS).…”

Section: Comparison With Other Approachesmentioning

confidence: 99%

Extraction ofαsfrom the Gross–Llewellyn Smith sum rule using Borel resummation

Contreras¹,

Cvetič²,

Jeong³

et al. 2002

Phys. Rev. D

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“…The optimistic scheme-dependence error in the NNLO result of Ref. [34] is reflecting the uncertainty due to the unknown effects of the higher N 3 LO perturbative QCD corrections, estimated later on in the works of Ref. [38].…”

Section: In Ref[3] the Final Results For The Parameter λ (4) M Smentioning

confidence: 99%

Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF3 structure function and the higher twist contributions

et al. 1998

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We present the results of the next-to-next-to-leading order QCD analysis of the recently revised experimental data of the CCFR collaboration for the xF 3 structure function using the Jacobi polynomial expansion method. The effects of the higher twist contributions are included into the fits following the infrared renormalon motivated model. The special attention is paid to the checks of the predictive abilities of the infrared renormalon model and to the independent extractions of the x-dependent shape of the twist-4 contributions to the xF 3 structure function in the process of the leading order, next-to-leading order and next-to-next-to-leading order fits of the revised CCFR data. We stress that at the next-to-next-to-leading order the results for α s (M Z ) turn out to be almost nonsensitive to the higher-twist terms. We obtain the following result α N N LO s (M Z ) = 0.117±0.002(stat)± 0.005(syst) ± 0.003(theory). The comparison of the outcomes of our next-to-leading order and next-to-next-to-leading order analysis indicate that the theoretical QCD uncertainties were underestimated in the process of the next-to-leading order determination of α s (M Z ), made recently by the CCFR collaboration itself.Presented in part at the QCD session of Recontres des Moriond-97 (March, 1997).

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“…where the higher-twist contribution ∆HT is estimated to be (0.09 ± 0.045)/Q 2 in [29] [32] and to be somewhat smaller by [33]. The CCFR collaboration [34], combines their data with that from other experiments [35] and gives α s ( √ 3 GeV) = 0.28 ± 0.035 (expt.)…”

Section: Determination Of α S From Deep Inelastic Scat-teringmentioning

confidence: 99%