Study of electron-positron annihilation into $K\bar{K}π$ within resonance chiral theory
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916609305608192 |
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| author | Qin, Bing-Hai Qin, Wen Dai, Ling-Yun |
| author_facet | Qin, Bing-Hai Qin, Wen Dai, Ling-Yun |
| contents | In this paper, a coherent study of the $e^+e^-$ annihilation into $K^+K^-π^0$, $K^0_SK^0_Lπ^0$ and $K^0_SK^\pmπ^\mp$ is carried out within the framework of resonance chiral theory. The amplitudes are fixed by fitting to the experimental cross-section and invariant mass spectrum. With these amplitudes, one can calculate the hadronic vacuum polarization form factors of these processes. The leading order contributions of $σ(e^+e^- \to K\bar{K}π)$ to the anomalous magnetic moment of the muon, $(g-2)_μ$, is obtained as $a_μ^{\rm HVP,LO}(e^+e^- \to K\bar{K}π)=(3.178\pm0.071)\times10^{-10}$ up to $E_{\rm cm}=2.3$ GeV. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Study of electron-positron annihilation into $K\bar{K}π$ within resonance chiral theory Qin, Bing-Hai Qin, Wen Dai, Ling-Yun High Energy Physics - Phenomenology Nuclear Theory In this paper, a coherent study of the $e^+e^-$ annihilation into $K^+K^-π^0$, $K^0_SK^0_Lπ^0$ and $K^0_SK^\pmπ^\mp$ is carried out within the framework of resonance chiral theory. The amplitudes are fixed by fitting to the experimental cross-section and invariant mass spectrum. With these amplitudes, one can calculate the hadronic vacuum polarization form factors of these processes. The leading order contributions of $σ(e^+e^- \to K\bar{K}π)$ to the anomalous magnetic moment of the muon, $(g-2)_μ$, is obtained as $a_μ^{\rm HVP,LO}(e^+e^- \to K\bar{K}π)=(3.178\pm0.071)\times10^{-10}$ up to $E_{\rm cm}=2.3$ GeV. |
| title | Study of electron-positron annihilation into $K\bar{K}π$ within resonance chiral theory |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2403.14294 |