QCD analysis of non-singlet neutrino structure functions

Barker, I.S.; Martin, B.R.; Shaw, Graham

doi:10.1007/bf01571777

Cited by 32 publications

(20 citation statements)

References 18 publications

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“…This method was developed and applied for different QCD analyses [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. The same method has also been applied in the polarized case in Refs.…”

Section: Introductionmentioning

confidence: 99%

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

2010

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We present the results of our QCD analysis for nonsinglet unpolarized quark distributions and structure function F 2 ðx; Q 2 Þ up to next-to-next-to-next-to leading order (N 3 LO). In this regards 4-loop anomalous dimension can be obtained from the Padé approximations. The analysis is based on the Jacobi polynomials expansion of the structure function. New parameterizations are derived for the nonsinglet quark distributions for the kinematic wide range of x and Q 2 . Our calculations for nonsinglet unpolarized quark distribution functions up to N 3 LO are in good agreement with available theoretical models. The higher twist contributions of F p;d 2 ðx; Q 2 Þ are extracted in the large x region in N 3 LO analysis. The values of Ã QCD and s ðM 2 z Þ are determined.

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Section: Introductionmentioning

confidence: 99%

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

2010

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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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“…The importance of higher twist (HT) contribution to structure functions was pointed from the very beginning of QCD in comparison with experimental data [38] on structure functions. Several reports are available on the determination of the higher twist contributions in the electron-DIS structure functions F ep,ed 2 (x, Q 2 )(see [46][47][48] for details)as well as neutrino-DIS structure function xF 3 (x, Q 2 ) [49][50][51][52][53]. Further, in general the higher twist corrections are also present in the case of polarized deeply inelastic scattering.…”

Section: Higher Twist Corrections On Structure Functionsmentioning

confidence: 99%

xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

Nath

Mukharjee

Das

et al. 2016

Commun. Theor. Phys.

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We present an analysis of the xF3(x, Q 2 ) structure function and Gross-Llewellyn Smith(GLS) sum rule taking into account the nuclear effects and higher twist correction. This analysis is based on the results presented in "N. M. Nath et al., Indian J Phys 90(1), 117 (2016)". The corrections due to nuclear effects predicted in several earlier analysis are incorporated to our results of xF3(x, Q 2 ) structure function and GLS sum rule for free nucleon, corrected upto next-next-to-leading order (NNLO) perturbative order and calculate the nuclear structure function as well as sum rule for nuclei. In addition, by means of a simple model we have extracted the higher twist contributions to the non-singlet structure function xF3(x, Q 2 ) and GLS sum rule in NNLO perturbative orders and then incorporated them to our results. Our NNLO results along with nuclear effect and higher twist corrections are observed to be compatible with corresponding experimental data and other phenomenological analysis.

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QCD analysis of non-singlet neutrino structure functions

Cited by 32 publications

References 18 publications

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

F L structure function and heavy quark contributions

xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

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QCD analysis of non-singlet neutrino structure functions

Cited by 32 publications

References 18 publications

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit

F L structure function and heavy quark contributions

xF 3 ( x,Q 2 ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction

Contact Info

Product

Resources

About

xF ₃ ( x,Q ² ) Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction