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Main Authors: Shahrzad, Javad, Khorramian, Ali
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2405.02254
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author Shahrzad, Javad
Khorramian, Ali
author_facet Shahrzad, Javad
Khorramian, Ali
contents A new ''$\mathtt{SK24}$'' non-singlet QCD analysis of the structure functions at the NNLO approximation is performed, utilizing the global fit of the data from various charged lepton scattering experiments. We extract the valence parton distribution functions (PDFs) and provide a parametrization of them, along with the correlated errors for a wide range of $x$ and $Q^2$. We compare valence PDFs and their uncertainties with those from different PDF sets provided by various groups. We also obtain valence PDFs and the strong coupling constant $α_{s}(M_Z^2)$, taking into account the nuclear correction concerning large $x$ as well as the target mass correction (TMC) and higher twist (HT) effects at the NNLO. In the large $x$ region, we extract the higher twist contributions of $xF_3(x,Q^2)$, $F_2^p (x,Q^2)$, and $F_2^d(x,Q^2)$. We determine $α_{s}(M_Z^2)$ without and with considering the TMC and HT corrections and perform a comparison with the world average of $α_{s}(M_Z^2)$ and other reported results. The extracted results concerning valence PDFs with their uncertainties and $α_{s}(M_Z^2)$ value agree with available theoretical models.
format Preprint
id arxiv_https___arxiv_org_abs_2405_02254
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering
Shahrzad, Javad
Khorramian, Ali
High Energy Physics - Phenomenology
High Energy Physics - Experiment
A new ''$\mathtt{SK24}$'' non-singlet QCD analysis of the structure functions at the NNLO approximation is performed, utilizing the global fit of the data from various charged lepton scattering experiments. We extract the valence parton distribution functions (PDFs) and provide a parametrization of them, along with the correlated errors for a wide range of $x$ and $Q^2$. We compare valence PDFs and their uncertainties with those from different PDF sets provided by various groups. We also obtain valence PDFs and the strong coupling constant $α_{s}(M_Z^2)$, taking into account the nuclear correction concerning large $x$ as well as the target mass correction (TMC) and higher twist (HT) effects at the NNLO. In the large $x$ region, we extract the higher twist contributions of $xF_3(x,Q^2)$, $F_2^p (x,Q^2)$, and $F_2^d(x,Q^2)$. We determine $α_{s}(M_Z^2)$ without and with considering the TMC and HT corrections and perform a comparison with the world average of $α_{s}(M_Z^2)$ and other reported results. The extracted results concerning valence PDFs with their uncertainties and $α_{s}(M_Z^2)$ value agree with available theoretical models.
title QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
url https://arxiv.org/abs/2405.02254