Moosavi Nejad, Seyed Mohammad and Khanpour, Hamzeh and Tehrani, S. Atashbar and Mahdavi, Mahdi (2016) QCD analysis of nucleon structure functions in deep-inelastic neutrinonucleon scattering: Laplace transform and Jacobi polynomials approach. Physical Review C, 94 (045201). ISSN 2469-9993

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Abstract

We present a detailed QCD analysis of nucleon structure functions x F 3 ( x , Q 2 ) , based on Laplace transforms and the Jacobi polynomials approach. The analysis corresponds to the next-to-leading order and next-to-next-to-leading order approximations of perturbative QCD. The Laplace transform technique, as an exact analytical solution, is used for the solution of nonsinglet Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution equations at low- and large-x values. The extracted results are used as input to obtain the x and Q 2 evolution of x F 3 ( x,Q2) structure functions using the Jacobi polynomials approach. In our work, the values of the typical QCD scale Λ ( n f)MS and the strong coupling constant α s (M2Z) are determined for four quark flavors (n f =4) as well. A careful estimation of the uncertainties shall be performed using the Hessian method for the valence-quark distributions, originating from the experimental errors. We compare our valence-quark parton distribution functions sets with those of other collaborations, in particular with the CT14, MMHT14, and NNPDF sets, which are contemporary with the present analysis. The obtained results from the analysis are in good agreement with those from the literature.

Item Type:	Article
Additional Information:	Cite as: Moosavi Nejad, Seyed Mohammad & Khanpour, Hamzeh & Tehrani, S. & Mahdavi, Mahdi. (2016). QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach. Physical Review C. 94. 045201. 10.1103/PhysRevC.94.045201.
Keywords:	QCD analysis; nucleon structure functions; deep-inelastic neutrinonucleon scattering; Laplace transform; Jacobi polynomials approach;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	14761
Identification Number:	https://doi.org/10.1103/PhysRevC.94.045201
Depositing User:	Hamzeh Khanpour
Date Deposited:	07 Sep 2021 15:40
Journal or Publication Title:	Physical Review C
Publisher:	American Physical Society
Refereed:	No
Funders:	School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), University of Science and Technology of Mazandaran
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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