Color dipole cross-section from unifying the color dipole picture and improved saturation models
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929712201203712 |
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| author | Boroun, G. R. |
| author_facet | Boroun, G. R. |
| contents | We present an analysis of the color-dipole picture (CDP) for determination of the gluon density at low-$x$ which is obtained from the Altarelli-Martinelli equation by expansion at distinct points of expansion. The dipole cross-sections with respect to the improved saturation model of Bartels-Golec-Biernat-Kowalski (BGK) are obtained in a wide range of transverse sizes $r$ and compared with the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) model. We find that the model gives a good description of the dipole cross-section at large $r$ which confirms saturation and matches the perturbative QCD result at a small $r$ due to the significant role of the running of the gluon distribution. The transition between these regions occurs with decreasing transverse sizes with a decrease of Bjorken $x$ and dependence on the expansion point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19981 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Color dipole cross-section from unifying the color dipole picture and improved saturation models Boroun, G. R. High Energy Physics - Phenomenology We present an analysis of the color-dipole picture (CDP) for determination of the gluon density at low-$x$ which is obtained from the Altarelli-Martinelli equation by expansion at distinct points of expansion. The dipole cross-sections with respect to the improved saturation model of Bartels-Golec-Biernat-Kowalski (BGK) are obtained in a wide range of transverse sizes $r$ and compared with the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) model. We find that the model gives a good description of the dipole cross-section at large $r$ which confirms saturation and matches the perturbative QCD result at a small $r$ due to the significant role of the running of the gluon distribution. The transition between these regions occurs with decreasing transverse sizes with a decrease of Bjorken $x$ and dependence on the expansion point. |
| title | Color dipole cross-section from unifying the color dipole picture and improved saturation models |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.19981 |