QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering

This is the authors' abstract. We don't add key points for this paper.

A new “” nonsinglet 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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>x</a:mi></a:math> and <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>Q</c:mi><c:mn>2</c:mn></c:msup></c:math>. 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 <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>α</e:mi><e:mi>s</e:mi></e:msub><e:mo stretchy="false">(</e:mo><e:msubsup><e:mi>M</e:mi><e:mi>Z</e:mi><e:mn>2</e:mn></e:msubsup><e:mo stretchy="false">)</e:mo></e:math>, taking into account the nuclear correction concerning large <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>x</i:mi></i:math> as well as the target mass correction (TMC) and higher twist (HT) effects at the NNLO. In the large <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi>x</k:mi></k:math> region, we extract the higher twist contributions of <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mi>x</m:mi><m:msub><m:mrow><m:mi>F</m:mi></m:mrow><m:mrow><m:mn>3</m:mn></m:mrow></m:msub><m:mo stretchy="false">(</m:mo><m:mi>x</m:mi><m:mo>,</m:mo><m:msup><m:mrow><m:mi>Q</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow></m:msup><m:mo stretchy="false">)</m:mo></m:mrow></m:math>, <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"><q:msubsup><q:mi>F</q:mi><q:mn>2</q:mn><q:mi>p</q:mi></q:msubsup><q:mo stretchy="false">(</q:mo><q:mi>x</q:mi><q:mo>,</q:mo><q:msup><q:mi>Q</q:mi><q:mn>2</q:mn></q:msup><q:mo stretchy="false">)</q:mo></q:math>, and <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" display="inline"><u:msubsup><u:mi>F</u:mi><u:mn>2</u:mn><u:mi>d</u:mi></u:msubsup><u:mo stretchy="false">(</u:mo><u:mi>x</u:mi><u:mo>,</u:mo><u:msup><u:mi>Q</u:mi><u:mn>2</u:mn></u:msup><u:mo stretchy="false">)</u:mo></u:math>. We determine <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"><y:msub><y:mi>α</y:mi><y:mi>s</y:mi></y:msub><y:mo stretchy="false">(</y:mo><y:msubsup><y:mi>M</y:mi><y:mi>Z</y:mi><y:mn>2</y:mn></y:msubsup><y:mo stretchy="false">)</y:mo></y:math> without and with considering the TMC and HT corrections and perform a comparison with the world average of <cb:math xmlns:cb="http://www.w3.org/1998/Math/MathML" display="inline"><cb:msub><cb:mi>α</cb:mi><cb:mi>s</cb:mi></cb:msub><cb:mo stretchy="false">(</cb:mo><cb:msubsup><cb:mi>M</cb:mi><cb:mi>Z</cb:mi><cb:mn>2</cb:mn></cb:msubsup><cb:mo stretchy="false">)</cb:mo></cb:math> and other reported results. The extracted results concerning valence PDFs with their uncertainties and <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"><gb:msub><gb:mi>α</gb:mi><gb:mi>s</gb:mi></gb:msub><gb:mo stretchy="false">(</gb:mo><gb:msubsup><gb:mi>M</gb:mi><gb:mi>Z</gb:mi><gb:mn>2</gb:mn></gb:msubsup><gb:mo stretchy="false">)</gb:mo></gb:math> value agree with available theoretical models. Published by the American Physical Society 2024