General parametrization of scale breaking

Barker, I.S.; Langensiepen, Caroline; Shaw, Graham

doi:10.1016/0550-3213(81)90093-6

Cited by 59 publications

(38 citation statements)

References 17 publications

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“…[11] and [12]. In practice one truncates the series (A.1) living in the expansion only finite number of moments N max -see Eq.…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

“…becomes higher with increase of j and second, the high moments become very sensitive to the replacement of integration by the sum over the 12 Calculating ν we just cut off the boundary distortions which hold for MJEM in the small vicinities of the boundary points (see the Appendix), and decrease the integration region, respectively. To be more precise, one can apply after cutting some extrapolation to the boundary points.…”

Section: Introductionmentioning

confidence: 99%

“…The most successful in applications (reconstruction of the local distributions from the evolved with GLAP moments and investigation of Λ QCD ) occurred the Jacobi polynomial expansion method (JEM) proposed in the pioneer work by Parisi and Sourlas [11] and elaborated 8 in Refs. [12] and [10]. The local in x B functions (structure functions or quark distributions) are expanded in the double series over the Jacobi polynomials and Mellin moments (see the Appendix):…”

Section: Introductionmentioning

confidence: 99%

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NLO QCD method of the polarized semiinclusive DIS data analysis

2006

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Method of polarized semi-inclusive deep inelastic scattering (SIDIS) data analysis in the next to leading order (NLO) QCD is developed. Within the method one first directly extracts in NLO few first truncated (available to measurement) Mellin moments of the quark helicity distributions. Second, using these moments as an input to the proposed modification of the Jacobi polynomial expansion method (MJEM), one eventually reconstructs the local quark helicity distributions themselves. All numerical tests demonstrate that MJEM allows us to reproduce with the high precision the input local distributions even inside the narrow Bjorken x region accessible for experiment. It is of importance that only four first input moments are sufficient to achieve a good quality of reconstruction. The application of the method to the simulated SIDIS data on the pion production is considered. The obtained results encourage one that the proposed NLO method can be successfully applied to the SIDIS data analysis. The analysis of HERMES data on pion production is performed. To this end the pion difference asymmetries are constructed from the measured by HERMES standard semi-inclusive spin asymmetries. The LO results of the valence distribution reconstruction are in a good accordance with the respective leading order SMC and HERMES results, while the NLO results are in agreement with the existing NLO parametrizations on these quantities.

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“…[11] and [12]. In practice one truncates the series (A.1) living in the expansion only finite number of moments N max -see Eq.…”

Section: Conclusion and Prospectsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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NLO QCD method of the polarized semiinclusive DIS data analysis

2006

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“…One of the simplest and fastest possibilities in the structure function reconstruction from the QCD predictions for its Mellin moments is Jacobi polynomials expansion. According to this method one can relate the structure function with its Mellin moments [10][11][12][13][14][15][16] …”

Section: The Methods Of the Qcd Analysismentioning

confidence: 99%

F L structure function and heavy quark contributions

et al. 2009

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In this paper we obtain the heavy-quark contribution to the longitudinal structure functions F L (x, Q 2 ). Since F L structure functions contains rather large heavy flavor contributions in the small x region, we need to use the massive operator matrix elements, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region Q 2 >> m 2 . The method of QCD analysis, based on the Jacobi polynomials method, is also described. Our results for longitudinal structure function are in good agreement with the available experimental data.

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“…This method was developed and applied for QCD analysis [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. The same method has also been applied in polarized case [17][18][19][20][21][22][23].…”

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confidence: 99%

Parton distribution functions up to NNLO

Tehrani

Khorramian

2009

Hyperfine Interact

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We calculate the unpolarized parton distribution functions up to NNLO approximation from the QCD analysis of the world DIS data. To study the proton structure functions F 2 (x, Q 2 ), we need to use the orthogonal polynomials expansion method. This method is very useful to parameterize parton distribution function at the input of Q 2 0 . Our calculations for parton distribution functions based on the Jacobi polynomials method are in good agreement with the other theoretical models.

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General parametrization of scale breaking

Cited by 59 publications

References 17 publications

NLO QCD method of the polarized semiinclusive DIS data analysis

NLO QCD method of the polarized semiinclusive DIS data analysis

F L structure function and heavy quark contributions

Parton distribution functions up to NNLO

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