Additional corrections to the Gross–Llewellyn Smith sum rule

Londergan, J. T.; Thomas, A. W.

doi:10.1103/physrevd.82.113001

Cited by 3 publications

(2 citation statements)

References 53 publications

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“…[79] as 2.62 ± 0.15. In our work, we obtain GLS (|Q 2 | = 8 GeV 2 )) = 2.64 for the NLO analysis and GLS (|Q 2 | = 3 GeV 2 ) = 2.61 for the NNLO one, which are in good agreement with the results obtained by other groups.…”

Section: Resultsmentioning

confidence: 94%

QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach

Nejad

Khanpour

Tehrani³

et al. 2016

Phys. Rev. C

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We present a detailed QCD analysis of nucleon structure functions xF3(x, Q 2 ), based on Laplace transforms and Jacobi polynomials approach. The analysis corresponds to the next-to-leading order and next-to-next-to-leading order approximation of perturbative QCD. The Laplace transform technique, as an exact analytical solution, is used for the solution of nonsinglet Dokshitzer-GribovLipatov-Altarelli-Parisi evolution equations at low-and large-x values. The extracted results are used as input to obtain the x and Q 2 evolution of xF3(x, Q 2 ) structure functions using the Jacobi polynomials approach. In our work, the values of the typical QCD scale Λ (n f ) MSand the strong coupling constant αs(M 2 Z ) are determined for four quark flavors (n f = 4) as well. A careful estimation of the uncertainties shall be performed using the Hessian method for the valence-quark distributions, originating from the experimental errors. We compare our valence-quark parton distribution functions sets with those of other collaborations; in particular with the BBG, CT14, MMHT14 and NNPDF sets, which are contemporary with the present analysis. The obtained results from the analysis are in good agreement with those from the literature.

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Section: Resultsmentioning

confidence: 94%

QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach

Nejad

Khanpour

Tehrani³

et al. 2016

Phys. Rev. C

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“…Furthermore, if we make a more complicated parameterization for the nonperturbative input and include more constraints, the result possibly becomes better. The Gross-Llewellyn Smith sum rule [54][55][56] could be the further constraint, which would provide more information on valence quark distributions at high Q 2 . The Ellis-Jaffe sum rule [57,58] could be practically useful to constrain the polarized PDFs.…”

Section: Discussion and Summarymentioning

confidence: 99%

Valence quark distributions of the proton from maximum entropy approach

Wang

Chen

2015

Phys. Rev. D

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We present an attempt of maximum entropy principle to determine valence quark distributions in the proton at very low resolution scale Q 2 0 . The initial three valence quark distributions are obtained with limited dynamical information from quark model and QCD theory. Valence quark distributions from this method are compared to the lepton deep inelastic scattering data, and the widely used CT10 and MSTW08 data sets. The obtained valence quark distributions are consistent with experimental observations and the latest global fits of PDFs. Maximum entropy method is expected to be particularly useful in the case where relatively little information from QCD calculation is given.

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