Self-Similar Properties of the Proton Structure at Low x within the \textbf{xFitter} framework
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910513992040448 |
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| author | Tehrani, Shahin Atashbar Shahri, Fatemeh Taghavi Mohsenabadi, Samira Shoeibi |
| author_facet | Tehrani, Shahin Atashbar Shahri, Fatemeh Taghavi Mohsenabadi, Samira Shoeibi |
| contents | The structure of the proton exhibits Fractal behavior at low \textit{x}, where \textit{x} is the fraction of the proton's momentum carried by the interacting partons. This Fractal behavior is characterized by self-similar properties at different scales and can be quantified using the concept of Fractal dimension. An investigation into the Fractal properties of the proton structure at low \textit{x} is critical for understanding the fundamental properties of the strong force and developing a more comprehensive understanding of the hadron structure. Fractals, characterized by self-similar patterns across scales, demonstrate a direct correlation between their Fractal dimension and entropy, where higher Fractal dimensions correspond to increased informational content. Furthermore, it is essential for designing high-energy physics experiments and developing more accurate models of subatomic particle interactions. This paper has a fresh look at the self-similar properties of the proton structure at low \textit{x}. Our study involves the use of the \textbf{xFitter} framework to parameterize the proton structure functions with a Fractal formalism at low \textit{x}. We also examine how the inclusion of new data affects the results of our analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-Similar Properties of the Proton Structure at Low x within the \textbf{xFitter} framework Tehrani, Shahin Atashbar Shahri, Fatemeh Taghavi Mohsenabadi, Samira Shoeibi High Energy Physics - Phenomenology The structure of the proton exhibits Fractal behavior at low \textit{x}, where \textit{x} is the fraction of the proton's momentum carried by the interacting partons. This Fractal behavior is characterized by self-similar properties at different scales and can be quantified using the concept of Fractal dimension. An investigation into the Fractal properties of the proton structure at low \textit{x} is critical for understanding the fundamental properties of the strong force and developing a more comprehensive understanding of the hadron structure. Fractals, characterized by self-similar patterns across scales, demonstrate a direct correlation between their Fractal dimension and entropy, where higher Fractal dimensions correspond to increased informational content. Furthermore, it is essential for designing high-energy physics experiments and developing more accurate models of subatomic particle interactions. This paper has a fresh look at the self-similar properties of the proton structure at low \textit{x}. Our study involves the use of the \textbf{xFitter} framework to parameterize the proton structure functions with a Fractal formalism at low \textit{x}. We also examine how the inclusion of new data affects the results of our analysis. |
| title | Self-Similar Properties of the Proton Structure at Low x within the \textbf{xFitter} framework |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.04187 |