Polarized parton distribution functions: parametrization and transverse momentum dependence

Abstract We extract the polarized parton distribution functions (PPDFs) of proton. To this end we do a global analysis on recent and up-to-dated experimental data of polarized nucleon and deuteron structure functions at the NLO accuracy of perturbative QCD. We use the Jacobi polynomials expansion te...

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Main Authors: H. Nematollahi, P. Abolhadi, S. Atashbar, A. Mirjalili, M. M. Yazdanpanah
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-020-08810-1
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author H. Nematollahi
P. Abolhadi
S. Atashbar
A. Mirjalili
M. M. Yazdanpanah
author_facet H. Nematollahi
P. Abolhadi
S. Atashbar
A. Mirjalili
M. M. Yazdanpanah
author_sort H. Nematollahi
collection DOAJ
description Abstract We extract the polarized parton distribution functions (PPDFs) of proton. To this end we do a global analysis on recent and up-to-dated experimental data of polarized nucleon and deuteron structure functions at the NLO accuracy of perturbative QCD. We use the Jacobi polynomials expansion technique to do the required analyses. To achieve a more realistic estimation of the PPDFs and observable uncertainties we employ the Hessian error propagation. Following that we apply a theoretical approach which is based on imposing Lorentz structure in the parton model to investigate the transverse momentum dependence of these PPDFs. In this approach, the transverse momentum dependent (TMD) polarized parton distributions, which are also called the helicity distributions, are related to the integrated ones. This relation is indicating the priority and importance of data analysis for PPDFs. The results show a convenient general treatment expected for TMD densities which are in fact resulted from data analysis and fitting processes of integrated PPDFs in an adequate and a proper way.
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spelling doaj.art-ce5d9e8984874174b5da96c839c909fc2022-12-21T23:19:31ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-01-0181111310.1140/epjc/s10052-020-08810-1Polarized parton distribution functions: parametrization and transverse momentum dependenceH. Nematollahi0P. Abolhadi1S. Atashbar2A. Mirjalili3M. M. Yazdanpanah4Faculty of Physics, Shahid Bahonar University of KermanFaculty of Physics, Shahid Bahonar University of KermanSchool of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM)Physics Department, Yazd UniversityFaculty of Physics, Shahid Bahonar University of KermanAbstract We extract the polarized parton distribution functions (PPDFs) of proton. To this end we do a global analysis on recent and up-to-dated experimental data of polarized nucleon and deuteron structure functions at the NLO accuracy of perturbative QCD. We use the Jacobi polynomials expansion technique to do the required analyses. To achieve a more realistic estimation of the PPDFs and observable uncertainties we employ the Hessian error propagation. Following that we apply a theoretical approach which is based on imposing Lorentz structure in the parton model to investigate the transverse momentum dependence of these PPDFs. In this approach, the transverse momentum dependent (TMD) polarized parton distributions, which are also called the helicity distributions, are related to the integrated ones. This relation is indicating the priority and importance of data analysis for PPDFs. The results show a convenient general treatment expected for TMD densities which are in fact resulted from data analysis and fitting processes of integrated PPDFs in an adequate and a proper way.https://doi.org/10.1140/epjc/s10052-020-08810-1
spellingShingle H. Nematollahi
P. Abolhadi
S. Atashbar
A. Mirjalili
M. M. Yazdanpanah
Polarized parton distribution functions: parametrization and transverse momentum dependence
European Physical Journal C: Particles and Fields
title Polarized parton distribution functions: parametrization and transverse momentum dependence
title_full Polarized parton distribution functions: parametrization and transverse momentum dependence
title_fullStr Polarized parton distribution functions: parametrization and transverse momentum dependence
title_full_unstemmed Polarized parton distribution functions: parametrization and transverse momentum dependence
title_short Polarized parton distribution functions: parametrization and transverse momentum dependence
title_sort polarized parton distribution functions parametrization and transverse momentum dependence
url https://doi.org/10.1140/epjc/s10052-020-08810-1
work_keys_str_mv AT hnematollahi polarizedpartondistributionfunctionsparametrizationandtransversemomentumdependence
AT pabolhadi polarizedpartondistributionfunctionsparametrizationandtransversemomentumdependence
AT satashbar polarizedpartondistributionfunctionsparametrizationandtransversemomentumdependence
AT amirjalili polarizedpartondistributionfunctionsparametrizationandtransversemomentumdependence
AT mmyazdanpanah polarizedpartondistributionfunctionsparametrizationandtransversemomentumdependence