Salajegheh, Maral and Nejad, S. Mohammad Moosavi and Khanpour, Hamzeh and Tehrani, S. Atashbar (2018) Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation. Physical Review C, 97 (055201). ISSN 2469-9993

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Abstract

In this paper, we present SMKA18 analysis, which is a first attempt to extract the set of next-to-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 spin-dependent Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at NNLO approximation. The results are extracted using a wide range of proton gp1(x,Q2), neutron g n1(x,Q2) , and deuteron gd1(x,Q2) spin-dependent structure functions data set including the most recent high-precision measurements from COMPASS16 experiments at CERN, which are playing an increasingly important role in global spin-dependent fits. The careful estimations of uncertainties have been done using the standard Hessian error propagation. We will compare our results with the available spin-dependent inclusive deep inelastic scattering data set and other results for the spin-dependent PDFs in the literature. The results obtained for the spin-dependent PDFs as well as spin-dependent structure functions are clearly explained both in the small and large values of x.

Item Type:	Article
Additional Information:	Cite as: Salajegheh, Maral & Moosavi Nejad, Seyed Mohammad & Khanpour, Hamzeh & Atashbar Tehrani, Shahin. (2018). Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation. Physical Review C. 97. 10.1103/PhysRevC.97.055201.
Keywords:	spin-dependent parton distribution functions; NNLO approximation;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	14777
Identification Number:	https://doi.org/10.1103/PhysRevC.97.055201
Depositing User:	Hamzeh Khanpour
Date Deposited:	09 Sep 2021 16:54
Journal or Publication Title:	Physical Review C
Publisher:	American Physical Society
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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