Electromagnetic structure of axial-vector mesons and implications for the muon $g-2$
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| Format: | Preprint |
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2025
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| _version_ | 1866912598769795072 |
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| author | Xing, Zanbin Chang, Lei Raya, Khépani |
| author_facet | Xing, Zanbin Chang, Lei Raya, Khépani |
| contents | The electromagnetic structure of axial-vector mesons is investigated via elastic and two-photon transition form factors (TFFs). To this end, we employ a framework based on the Dyson-Schwinger and Bethe-Salpeter equations within a contact interaction model. This largely algebraic approach transparently exposes the role of symmetries and their breaking, and has proven successful in describing anomaly-sensitive processes, including pseudoscalar to two-photon TFFs, $γ\to 3 π$, and vector-to-pseudoscalar radiative decays. Restricting our analysis to the lowest-lying states, $\text{A}=\{ a_1, f_1,f_1'\}$, we also evaluate the corresponding light-by-light contribution to the muon anomalous magnetic moment, and obtain $a_μ^{\text{A}}=11.30(4.71)\times10^{-11}$, consistent with contemporary estimates. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_17311 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electromagnetic structure of axial-vector mesons and implications for the muon $g-2$ Xing, Zanbin Chang, Lei Raya, Khépani High Energy Physics - Phenomenology Nuclear Theory The electromagnetic structure of axial-vector mesons is investigated via elastic and two-photon transition form factors (TFFs). To this end, we employ a framework based on the Dyson-Schwinger and Bethe-Salpeter equations within a contact interaction model. This largely algebraic approach transparently exposes the role of symmetries and their breaking, and has proven successful in describing anomaly-sensitive processes, including pseudoscalar to two-photon TFFs, $γ\to 3 π$, and vector-to-pseudoscalar radiative decays. Restricting our analysis to the lowest-lying states, $\text{A}=\{ a_1, f_1,f_1'\}$, we also evaluate the corresponding light-by-light contribution to the muon anomalous magnetic moment, and obtain $a_μ^{\text{A}}=11.30(4.71)\times10^{-11}$, consistent with contemporary estimates. |
| title | Electromagnetic structure of axial-vector mesons and implications for the muon $g-2$ |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2509.17311 |