Empirical Determination of the Kaon Distribution Amplitude
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917981863280640 |
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| author | Chang, Lei Liu, Yu-Bin Raya, Khépani Sultan, M. Atif |
| author_facet | Chang, Lei Liu, Yu-Bin Raya, Khépani Sultan, M. Atif |
| contents | We propose a data-driven approach to extract the Kaon leading-twist distribution amplitude (DA) from empirical information on the ratio of the neutral-to-charged kaon electromagnetic form factors, $\mathcal{R}_K$. Our study employs a two-parameter representation of the DA at $ζ=2$ GeV, designed to capture the expected broadening and asymmetry of the distribution, as well as the soft endpoint behavior predicted by quantum chromodynamics (QCD). Our leading-order analysis of the latest experimental measurements of $\mathcal{R}_K$ reveals that the extracted DA exhibits a somewhat significant skewness, with the first symmetric moment approximately $\langle 1-2x \rangle_K= 0.082(7)$. On the other hand, the brodaness and general shape of the produced distributions show a reasonable consistency with contemporaty lattice and continuum QCD analyses. These findings highlight the importance of accurately determining the profile of the DA, especially the skewness and its relation to $SU_F(3)$ flavor symmetry breaking, as well as the inclusion of higher-order effects in the hard-scattering kernels for analyzing data at experimentally accessible scales. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07372 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Empirical Determination of the Kaon Distribution Amplitude Chang, Lei Liu, Yu-Bin Raya, Khépani Sultan, M. Atif High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory We propose a data-driven approach to extract the Kaon leading-twist distribution amplitude (DA) from empirical information on the ratio of the neutral-to-charged kaon electromagnetic form factors, $\mathcal{R}_K$. Our study employs a two-parameter representation of the DA at $ζ=2$ GeV, designed to capture the expected broadening and asymmetry of the distribution, as well as the soft endpoint behavior predicted by quantum chromodynamics (QCD). Our leading-order analysis of the latest experimental measurements of $\mathcal{R}_K$ reveals that the extracted DA exhibits a somewhat significant skewness, with the first symmetric moment approximately $\langle 1-2x \rangle_K= 0.082(7)$. On the other hand, the brodaness and general shape of the produced distributions show a reasonable consistency with contemporaty lattice and continuum QCD analyses. These findings highlight the importance of accurately determining the profile of the DA, especially the skewness and its relation to $SU_F(3)$ flavor symmetry breaking, as well as the inclusion of higher-order effects in the hard-scattering kernels for analyzing data at experimentally accessible scales. |
| title | Empirical Determination of the Kaon Distribution Amplitude |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2504.07372 |