{"title":"Reduced cross section and gluon distribution in a momentum-space approach","authors":"G. R. Boroun, Phuoc Ha","doi":"10.1103/physrevd.111.034012","DOIUrl":null,"url":null,"abstract":"We present a calculation of the reduced cross section in the momentum-space approach utilizing the Block-Durand-Ha parametrization of the proton structure function F</a:mi>2</a:mn></a:msub>(</a:mo>x</a:mi>,</a:mo>Q</a:mi>2</a:mn></a:msup>)</a:mo></a:math> and the leading-order longitudinal structure function <e:math xmlns:e=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><e:msub><e:mi>F</e:mi><e:mi>L</e:mi></e:msub><e:mo stretchy=\"false\">(</e:mo><e:mi>x</e:mi><e:mo>,</e:mo><e:msup><e:mi>Q</e:mi><e:mn>2</e:mn></e:msup><e:mo stretchy=\"false\">)</e:mo></e:math>, proposed by Boroun and Ha [] using Laplace transform techniques. Our results are compared with the HERA data and extended to the Large Hadron electron Collider domain. We also examine the ratio <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msub><i:mi>F</i:mi><i:mrow><i:mi>L</i:mi><i:mn>2</i:mn></i:mrow></i:msub><i:mo stretchy=\"false\">(</i:mo><i:mi>x</i:mi><i:mo>,</i:mo><i:msup><i:mi>Q</i:mi><i:mn>2</i:mn></i:msup><i:mo stretchy=\"false\">)</i:mo><i:mo>=</i:mo><i:msub><i:mi>F</i:mi><i:mi>L</i:mi></i:msub><i:mo stretchy=\"false\">(</i:mo><i:mi>x</i:mi><i:mo>,</i:mo><i:msup><i:mi>Q</i:mi><i:mn>2</i:mn></i:msup><i:mo stretchy=\"false\">)</i:mo><i:mo>/</i:mo><i:msub><i:mi>F</i:mi><i:mn>2</i:mn></i:msub><i:mo stretchy=\"false\">(</i:mo><i:mi>x</i:mi><i:mo>,</i:mo><i:msup><i:mi>Q</i:mi><i:mn>2</i:mn></i:msup><i:mo stretchy=\"false\">)</i:mo></i:math> obtained from our work, comparing it with both the H1 data and the color dipole picture bounds. We find that our results for the reduced cross section and the ratio <q:math xmlns:q=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><q:msub><q:mi>F</q:mi><q:mrow><q:mi>L</q:mi><q:mn>2</q:mn></q:mrow></q:msub><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> agree with the H1 data. Finally, our evaluation of the gluon distribution functions <u:math xmlns:u=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><u:mi>G</u:mi><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> in the momentum-space approach shows very good concordance with the NNPDF3.0LO gluon structure functions for moderate <y:math xmlns:y=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><y:msup><y:mi>Q</y:mi><y:mn>2</y:mn></y:msup></y:math> in the range 10</ab:mn>−</ab:mo>5</ab:mn></ab:mrow></ab:msup>≤</ab:mo>x</ab:mi>≤</ab:mo>1</ab:mn></ab:math>. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"62 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.034012","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
Abstract
We present a calculation of the reduced cross section in the momentum-space approach utilizing the Block-Durand-Ha parametrization of the proton structure function F2(x,Q2) and the leading-order longitudinal structure function FL(x,Q2), proposed by Boroun and Ha [] using Laplace transform techniques. Our results are compared with the HERA data and extended to the Large Hadron electron Collider domain. We also examine the ratio FL2(x,Q2)=FL(x,Q2)/F2(x,Q2) obtained from our work, comparing it with both the H1 data and the color dipole picture bounds. We find that our results for the reduced cross section and the ratio FL2(x,Q2) agree with the H1 data. Finally, our evaluation of the gluon distribution functions G(x,Q2) in the momentum-space approach shows very good concordance with the NNPDF3.0LO gluon structure functions for moderate Q2 in the range 10−5≤x≤1. Published by the American Physical Society2025
期刊介绍：
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
Particle physics experiments,
Electroweak interactions,
Strong interactions,
Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
Gravity, cosmology, cosmic rays,
Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.
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