Determination of αS from scaling violations of truncated moments of structure functions

Forte, Stefano; Latorre, José I.; Magnea, Lorenzo; Piccione, Andrea

doi:10.1016/s0550-3213(02)00688-0

Cited by 28 publications

(26 citation statements)

References 39 publications

(53 reference statements)

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“…In this approach, QCD evolution equations are directly expressed in terms of the scale dependence of the contribution to moments of structure functions from the experimentally accessible region. A precision determination of the strong coupling α s based on these techniques will be presented in a companion paper [17].…”

Section: Discussionmentioning

confidence: 99%

Neural network parametrization of deep-inelastic structure functions

Forte

Garrido

Latorre

et al. 2002

J. High Energy Phys.

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We construct a parametrization of deep-inelastic structure functions which retains information on experimental errors and correlations, and which does not introduce any theoretical bias while interpolating between existing data points. We generate a Monte Carlo sample of pseudo-data configurations and we train an ensemble of neural networks on them. This effectively provides us with a probability measure in the space of structure functions, within the whole kinematic region where data are available. This measure can then be used to determine the value of the structure function, its error, point-to-point correlations and generally the value and uncertainty of any function of the structure function itself. We apply this technique to the determination of the structure function F 2 of the proton and deuteron, and a precision determination of the isotriplet combination F 2 [p-d]. We discuss in detail these results, check their stability and accuracy, and make them available in various formats for applications.April 2002

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Section: Discussionmentioning

confidence: 99%

Neural network parametrization of deep-inelastic structure functions

Forte

Garrido

Latorre

et al. 2002

J. High Energy Phys.

Self Cite

190

330

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“…This circumstance can be the main reason for large uncertainties at data processing: this effect is aggravated if a singularity of f (x, µ 2 ) in the neighborhood of x = 0 is expected [6]. The idea of "truncated" Mellin moments of the parton densities in QCD analysis was introduced and developed in the late 1990s [7][8][9][10]. The authors obtained the nondiagonal differential evolution equations, in which the nth truncated moment couples to all higher ones.…”

Section: Introductionmentioning

confidence: 99%

Cut moments approach in the analysis of DIS data

Kotlorz

Михайлов²,

Teryaev³

et al. 2017

Phys. Rev. D

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We review the main results on the generalization of the DGLAP evolution equations within the cut Mellin moments (CMM) approach, which allows one to overcome the problem of kinematic constraints in Bjorken x. CMM obtained by multiple integrations as well as multiple differentiations of the original parton distribution also satisfy the DGLAP equations with the simply transformed evolution kernel. The CMM approach provides novel tools to test QCD; here we present one of them. Using appropriate classes of CMM, we construct the generalized Bjorken sum rule that allows us to determine the Bjorken sum rule value from the experimental data in a restricted kinematic range of x. We apply our analysis to COMPASS data on the spin structure function g1.

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“…As discussed in Ref. [4], all are found to be negligible (< 1%) thanks to our choice of Q 2 range. A second source of theoretical error is given by the uncalculated NNLO and higher perturbative contributions to the evolution equation.…”

Section: Results and Errorsmentioning

confidence: 52%