The unintegrated gluon distribution from the GBW and BGK models
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914051514171392 |
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| author | Boroun, G. R. |
| author_facet | Boroun, G. R. |
| contents | The gluon distribution is obtained from the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) and Bartels, Golec-Biernat and Kowalski (BGK) models at low $x$. We derive analytical results for the unintegrated color dipole gluon distribution function at small transverse momentum, which provides useful information to constrain the $k_{t}$-shape of the unintegrated gluon distribution in comparison with the unintegrated gluon distribution (UGD) models. The longitudinal proton structure function $F_{L}(x,Q^2)$ from the $k_{t}$ factorization scheme, using the unintegrated gluon density is computed. We compare the predictions for the on-shell and twist-2 corrections with the HERA data and the CJ15 parametrization method for $F_{L}$. We show that this method is very well described the experimental data within the on-shell and twist-2 framework. Effects of parameters on $F_{L}$, where charm contribution is taken into account, are investigated. These results are in good agreement with the data at fixed $W$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_04832 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The unintegrated gluon distribution from the GBW and BGK models Boroun, G. R. High Energy Physics - Phenomenology The gluon distribution is obtained from the Golec-Biernat-W$\ddot{\mathrm{u}}$sthoff (GBW) and Bartels, Golec-Biernat and Kowalski (BGK) models at low $x$. We derive analytical results for the unintegrated color dipole gluon distribution function at small transverse momentum, which provides useful information to constrain the $k_{t}$-shape of the unintegrated gluon distribution in comparison with the unintegrated gluon distribution (UGD) models. The longitudinal proton structure function $F_{L}(x,Q^2)$ from the $k_{t}$ factorization scheme, using the unintegrated gluon density is computed. We compare the predictions for the on-shell and twist-2 corrections with the HERA data and the CJ15 parametrization method for $F_{L}$. We show that this method is very well described the experimental data within the on-shell and twist-2 framework. Effects of parameters on $F_{L}$, where charm contribution is taken into account, are investigated. These results are in good agreement with the data at fixed $W$. |
| title | The unintegrated gluon distribution from the GBW and BGK models |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2309.04832 |