2018
DOI: 10.1103/physrevc.97.055201
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Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation

Abstract: In this paper, we present "SMKA18" analysis which is a first attempt to extract the set of nextto-next-leading-order (NNLO) spin-dependent parton distribution functions (spin-dependent PDFs) and their uncertainties determined through the Laplace transform technique and Jacobi polynomial approach. Using the Laplace transformations, we present an analytical solution for the spindependent Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NNLO approximation. The results are extracted using a wide r… Show more

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Cited by 28 publications
(11 citation statements)
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References 126 publications
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“…Since that time, along with the studies of unpolarized parton distribution functions (PDFs), many experimental, theoretical and phenomenological investigations have been performed to understand the constituents of the proton's spin and also determine their distributions. In this regard, the determination of polarized PDFs (PPDFs), which describe the structure of a nucleon in a helicity eigenstate, by performing a global analysis of available experimental data has also been of great interest [2][3][4][5][6][7][8][9][10][11][12][13]. On the other hand, the structure of nucleon both in unpolarized and polarized cases can be investigated in more detail using generalized parton distributions (GPDs) [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] which comprise important concepts of Quantum Chromodynamics (QCD).…”
Section: Introductionmentioning
confidence: 99%
“…Since that time, along with the studies of unpolarized parton distribution functions (PDFs), many experimental, theoretical and phenomenological investigations have been performed to understand the constituents of the proton's spin and also determine their distributions. In this regard, the determination of polarized PDFs (PPDFs), which describe the structure of a nucleon in a helicity eigenstate, by performing a global analysis of available experimental data has also been of great interest [2][3][4][5][6][7][8][9][10][11][12][13]. On the other hand, the structure of nucleon both in unpolarized and polarized cases can be investigated in more detail using generalized parton distributions (GPDs) [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] which comprise important concepts of Quantum Chromodynamics (QCD).…”
Section: Introductionmentioning
confidence: 99%
“…More details can be found in Refs. [62][63][64][65][66][67]. According to the fit procedure which will be presented in Sec.…”
Section: Technical Detail Of Qcd Analysismentioning
confidence: 99%
“…It is well known now that the factorisation theorem of Quantum Chromodynamics (QCD) [1,2] can provide a powerful tool for calculating cross sections of high energy processes, by dividing them to perturbative and nonperturbative parts. In this respect, the nonperturbative objects such as the parton distribution functions (PDFs) [3,4,5,6,7,8,9,10,11,12,13], polarized PDFs [14,15,16,17,18,19,20], nuclear PDFs [21,22,23,24,25], and fragmentation functions (FFs) [26,27,28,29] play an essential role for testing QCD, describing the experimental data, and searching New Physics. Among them, the PDFs have always been of particular importance.…”
Section: Introductionmentioning
confidence: 99%