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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.04172 |
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| _version_ | 1866908577240711168 |
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| author | Li, Zhi-Xin Li, Ao Hao, Jin Duan, Chun-Gui Guo, Zhi-Hui |
| author_facet | Li, Zhi-Xin Li, Ao Hao, Jin Duan, Chun-Gui Guo, Zhi-Hui |
| contents | In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $ππ$ channel to the muon anomalous magnetic moment $a_μ$ by using the experimental $τ\toππν_τ$ data. The isospin breaking corrections play the decisive role in this approach of computing $a_μ$. One of such important isospin breaking sources is the long-distance electromagnetic correction factor $G_{\rm EM}$ of the $τ\toππν_τ$ process from the real photon radiation. The latter effect can be calculated from the $τ\toππν_τγ$ amplitude, which is revised in this work within the resonance chiral theory by simultaneously including the even-intrinsic-parity and odd-intrinsic-parity resonance operators. We update the determination of the only unknown resonance coupling through the $ω\toπ^0π^0γ$ decay by including contributions from both the vector and scalar resonances. By taking other remaining contributions from the muon $g-2$ White Paper 2025, we further revise the complete value of $a_μ$, which turns out to deviate from the newest world average result after Fermilab's measurement at the level of 2.7 $σ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04172 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Revisit of the electromagnetic correction to $τ\toππν_τ$ and its implication for muon $g-2$ based on $τ$ data Li, Zhi-Xin Li, Ao Hao, Jin Duan, Chun-Gui Guo, Zhi-Hui High Energy Physics - Phenomenology In this work we focus on the evaluation of the leading-order hadronic vacuum polarization contribution from the $ππ$ channel to the muon anomalous magnetic moment $a_μ$ by using the experimental $τ\toππν_τ$ data. The isospin breaking corrections play the decisive role in this approach of computing $a_μ$. One of such important isospin breaking sources is the long-distance electromagnetic correction factor $G_{\rm EM}$ of the $τ\toππν_τ$ process from the real photon radiation. The latter effect can be calculated from the $τ\toππν_τγ$ amplitude, which is revised in this work within the resonance chiral theory by simultaneously including the even-intrinsic-parity and odd-intrinsic-parity resonance operators. We update the determination of the only unknown resonance coupling through the $ω\toπ^0π^0γ$ decay by including contributions from both the vector and scalar resonances. By taking other remaining contributions from the muon $g-2$ White Paper 2025, we further revise the complete value of $a_μ$, which turns out to deviate from the newest world average result after Fermilab's measurement at the level of 2.7 $σ$. |
| title | Revisit of the electromagnetic correction to $τ\toππν_τ$ and its implication for muon $g-2$ based on $τ$ data |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.04172 |