Taghavi-Shahri, F. and Khanpour, Hamzeh and Tehrani, S. Atashbar (2016) Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach. Physical Review D, 93 (114024). ISSN 2470-0029

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Abstract

We present a first QCD analysis of next-to-next-leading-order (NNLO) contributions of the spindependent parton distribution functions (PPDFs) in the nucleon and their uncertainties using the Jacobi polynomial approach. Having the NNLO contributions of the quark-quark and gluon-quark splitting functions in perturbativeQCD[Nucl. Phys. B889, 351 (2014)], one can obtain the evolution of longitudinally polarized parton densities of hadrons up to NNLO accuracy of QCD. Very large sets of recent and up-to-date experimental data of spin structure functions of the proton gp1 , neutron gn1 , and deuteron gd1 have been used in this analysis. The predictions for the NNLOcalculations of the polarized parton distribution functions as well as the proton, neutron and deuteron polarized structure functions are compared with the corresponding results of the NLO approximation.We form a mutually consistent set of polarized PDFs due to the inclusion of the most available experimental data including the recently high-precision measurements from COMPASS16 experiments [Phys. Lett. B 753, 18 (2016)]. We have performed a careful estimation of the uncertainties using the most common and practical method, the Hessian method, for the polarized PDFs originating from the experimental errors. The proton, neutron and deuteron structure functions and also their first moments, Γp;n;d, are in good agreement with the experimental data at small and large momentum fractions of x. We will discuss how our knowledge of spin-dependence structure functions can improve at small and large values of x by the recent COMPASS16 measurements at CERN, the PHENIX and STAR measurements at RHIC, and at the future proposed colliders such as the Electron-Ion Collider.

Item Type:	Article
Additional Information:	Cite as: PhysRevD.93.114024, Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach, Taghavi-Shahri, F. and Khanpour, Hamzeh and Atashbar Tehrani, S. and Alizadeh Yazdi, Z., Phys. Rev. D, volume 93, issue 11, pages 114024, 2016. American Physical Society, doi 10.1103/PhysRevD.93.114024, https://link.aps.org/doi/10.1103/PhysRevD.93.114024
Keywords:	Next-to-next-to-leading order QCD analysis; spin-dependent parton distribution functions; uncertainties; Jacobi polynomials approach;
Academic Unit:	Faculty of Science and Engineering > Theoretical Physics
Item ID:	14760
Identification Number:	https://doi.org/10.1103/PhysRevD.93.114024
Depositing User:	Hamzeh Khanpour
Date Deposited:	07 Sep 2021 15:16
Journal or Publication Title:	Physical Review D
Publisher:	American Physical Society
Refereed:	No
Funders:	Ferdowsi University of Mashhad, University of Science and Technology of Mazandaran, School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)
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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