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| Format: | Preprint |
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2023
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| Online-Zugang: | https://arxiv.org/abs/2311.06406 |
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| _version_ | 1866909424710320128 |
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| author | Roa, Michael Garrido, José Guevara, Miguel |
| author_facet | Roa, Michael Garrido, José Guevara, Miguel |
| contents | In this paper we confront the CGC/saturation approach of Ref.~\cite{CLMS} with the experimental combined HERA data and obtain its parameters. The model includes two features that are in accordance with our theoretical knowledge of deep inelastic scattering. These consist of: \textit{i}) the use of analytical solution for the non-linear Balitsky-Kovchegov (BK) evolution equation and \textit{ii}) the exponential behavior of the saturation momentum on the impact parameter $b$-dependence, characterized by $Q_s$ $\propto\exp(-mb)$ which reproduces the correct behavior of the scattering amplitude at large $b$ in accord with Froissart theorem. The model results are then compared to data at small-$x$ for the structure-function of the proton $F_{2}$, the longitudinal structure function $F_{L}$, the charm structure function $F_2^{c\bar{c}}$, the exclusive vector meson ($J/ψ,ϕ,ρ$) production and Deeply Virtual Compton Scattering (DVCS). We obtain a good agreement for the processes in a wide kinematic range of $Q^2$ at small-$x$. Our results provide a strong guide for finding an approach, based on Color Glass Condensate/saturation effective theory for high energy QCD, to make reliable predictions from first principles and for forthcoming experiments like the Electron-Ion Collider and the LHeC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06406 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data Roa, Michael Garrido, José Guevara, Miguel High Energy Physics - Phenomenology In this paper we confront the CGC/saturation approach of Ref.~\cite{CLMS} with the experimental combined HERA data and obtain its parameters. The model includes two features that are in accordance with our theoretical knowledge of deep inelastic scattering. These consist of: \textit{i}) the use of analytical solution for the non-linear Balitsky-Kovchegov (BK) evolution equation and \textit{ii}) the exponential behavior of the saturation momentum on the impact parameter $b$-dependence, characterized by $Q_s$ $\propto\exp(-mb)$ which reproduces the correct behavior of the scattering amplitude at large $b$ in accord with Froissart theorem. The model results are then compared to data at small-$x$ for the structure-function of the proton $F_{2}$, the longitudinal structure function $F_{L}$, the charm structure function $F_2^{c\bar{c}}$, the exclusive vector meson ($J/ψ,ϕ,ρ$) production and Deeply Virtual Compton Scattering (DVCS). We obtain a good agreement for the processes in a wide kinematic range of $Q^2$ at small-$x$. Our results provide a strong guide for finding an approach, based on Color Glass Condensate/saturation effective theory for high energy QCD, to make reliable predictions from first principles and for forthcoming experiments like the Electron-Ion Collider and the LHeC. |
| title | CGC and saturation approach: Impact-parameter dependent model of perturbative QCD and combined HERA data |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2311.06406 |