Pion transverse charge density from $e^+$$e^-$ annihilation data and logarithmic dispersion relations
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917956072505344 |
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| author | Arriola, Enrique Ruiz Sanchez-Puertas, Pablo Weiss, Christian |
| author_facet | Arriola, Enrique Ruiz Sanchez-Puertas, Pablo Weiss, Christian |
| contents | The transverse charge density of the pion is extracted from a dispersive analysis of the $e^+e^- \rightarrow π^+π^-$ exclusive annihilation data. A logarithmic dispersion relation is used to compute the unknown phase of the timelike pion form factor from the modulus obtained from the annihilation cross section. The method is model-independent and permits quantitative uncertainty estimates. The density is obtained with few-percent accuracy down to $b \sim 0.1$ fm; at smaller distances it depends qualitatively on the assumed high-energy behavior of the timelike form factor. Implications for pion structure and the relevance of pQCD asymptotics are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pion transverse charge density from $e^+$$e^-$ annihilation data and logarithmic dispersion relations Arriola, Enrique Ruiz Sanchez-Puertas, Pablo Weiss, Christian High Energy Physics - Phenomenology The transverse charge density of the pion is extracted from a dispersive analysis of the $e^+e^- \rightarrow π^+π^-$ exclusive annihilation data. A logarithmic dispersion relation is used to compute the unknown phase of the timelike pion form factor from the modulus obtained from the annihilation cross section. The method is model-independent and permits quantitative uncertainty estimates. The density is obtained with few-percent accuracy down to $b \sim 0.1$ fm; at smaller distances it depends qualitatively on the assumed high-energy behavior of the timelike form factor. Implications for pion structure and the relevance of pQCD asymptotics are discussed. |
| title | Pion transverse charge density from $e^+$$e^-$ annihilation data and logarithmic dispersion relations |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.10465 |