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Main Authors: Boroun, G. R., Kuroda, M., Schildknecht, Dieter
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2407.03708
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author Boroun, G. R.
Kuroda, M.
Schildknecht, Dieter
author_facet Boroun, G. R.
Kuroda, M.
Schildknecht, Dieter
contents The behavior of the gluon distribution of the proton in the low-$x$, low-$Q^2$ domain of deep inelastic electron-proton scattering (DIS) is being investigated. By considering two-gluon exchange as the dominant interaction in the low-$x$, low-$Q^2$ domain, we imply the well-known result of scaling of the photoabsorption cross section in terms of the scaling variable $η(W^2,Q^2)$. From this, we derive a reliable result for the gluon distribution at the leading order of the perturbative QCD improved parton model, based on evolution from a starting scale of $Q_0^2\cong 2$ GeV$^2$. The validity of evolution, when considering its quantitative modification at low-$Q^2$ without any alteration at larger values of $Q^2$, leads to a quantitative improvement in the extraction of the gluon distribution based on evolution from a starting scale of $Q^2$ conventionally chosen as $Q^2= Q_0^2\cong 2$ GeV$^2$.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03708
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Photoabsorption cross section in the low-$x$ and low-$Q^2$ domain, and DGLAP evolution
Boroun, G. R.
Kuroda, M.
Schildknecht, Dieter
High Energy Physics - Phenomenology
The behavior of the gluon distribution of the proton in the low-$x$, low-$Q^2$ domain of deep inelastic electron-proton scattering (DIS) is being investigated. By considering two-gluon exchange as the dominant interaction in the low-$x$, low-$Q^2$ domain, we imply the well-known result of scaling of the photoabsorption cross section in terms of the scaling variable $η(W^2,Q^2)$. From this, we derive a reliable result for the gluon distribution at the leading order of the perturbative QCD improved parton model, based on evolution from a starting scale of $Q_0^2\cong 2$ GeV$^2$. The validity of evolution, when considering its quantitative modification at low-$Q^2$ without any alteration at larger values of $Q^2$, leads to a quantitative improvement in the extraction of the gluon distribution based on evolution from a starting scale of $Q^2$ conventionally chosen as $Q^2= Q_0^2\cong 2$ GeV$^2$.
title Photoabsorption cross section in the low-$x$ and low-$Q^2$ domain, and DGLAP evolution
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2407.03708