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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| Online Access: | https://arxiv.org/abs/2304.00272 |
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| _version_ | 1866910374298648576 |
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| author | Saikia, Ranjan Phukan, Pragyan Sarma, Jayanta Kumar |
| author_facet | Saikia, Ranjan Phukan, Pragyan Sarma, Jayanta Kumar |
| contents | In this paper, the proton structure function $F_2 ^p (x,Q^2)$ at small-$x$ is investigated using an analytical solution of the Balitsky-Kovchegov (BK) equation. In the context of the color dipole description of deep inelastic scattering (DIS), the structure function $F_2 ^p (x,Q^2)$ is computed by applying the analytical expression for the scattering amplitude $N(k,Y)$ derived from the BK solution. At transverse momentum $k$ and total rapidity $Y$, the scattering amplitude $N(k,Y)$ represents the propagation of the quark-antiquark dipole in the color dipole description of DIS. Using the BK solution we extracted the integrated gluon density $xg(x,Q^2)$ and then compared our theoretical estimation with the LHAPDF global data fits NNPDF3.1sx and CT18. Finally, we investigated the behavior of $F_2 ^p (x,Q^2)$ in the kinematic region of $10^{-5} \leq x \leq 10^{-2}$ and $2.5$ $GeV^{2}$ $\leq$ $Q^2$ $\leq$ $60$ $GeV^{2}$. Our predicted results for $F_2 ^p (x,Q^2)$ within the specified kinematic region are in good agreement with the recent high-precision data for $F_2 ^p (x,Q^2)$ from HERA (H1 Collaboration) and the LHAPDF global parametrization group NNPDF3.1sx. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00272 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Investigation of proton structure function $F_2 ^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation Saikia, Ranjan Phukan, Pragyan Sarma, Jayanta Kumar High Energy Physics - Phenomenology In this paper, the proton structure function $F_2 ^p (x,Q^2)$ at small-$x$ is investigated using an analytical solution of the Balitsky-Kovchegov (BK) equation. In the context of the color dipole description of deep inelastic scattering (DIS), the structure function $F_2 ^p (x,Q^2)$ is computed by applying the analytical expression for the scattering amplitude $N(k,Y)$ derived from the BK solution. At transverse momentum $k$ and total rapidity $Y$, the scattering amplitude $N(k,Y)$ represents the propagation of the quark-antiquark dipole in the color dipole description of DIS. Using the BK solution we extracted the integrated gluon density $xg(x,Q^2)$ and then compared our theoretical estimation with the LHAPDF global data fits NNPDF3.1sx and CT18. Finally, we investigated the behavior of $F_2 ^p (x,Q^2)$ in the kinematic region of $10^{-5} \leq x \leq 10^{-2}$ and $2.5$ $GeV^{2}$ $\leq$ $Q^2$ $\leq$ $60$ $GeV^{2}$. Our predicted results for $F_2 ^p (x,Q^2)$ within the specified kinematic region are in good agreement with the recent high-precision data for $F_2 ^p (x,Q^2)$ from HERA (H1 Collaboration) and the LHAPDF global parametrization group NNPDF3.1sx. |
| title | Investigation of proton structure function $F_2 ^p$ at HERA in light of an analytical solution to Balitsky-Kovchegov equation |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2304.00272 |