Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $τ$
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| Format: | Preprint |
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2025
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| _version_ | 1866916745929818112 |
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| author | Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian |
| author_facet | Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian |
| contents | In Refs. [1,2] we provided a complete dispersive evaluation of the hadronic light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon. While the evaluation strategy was developed for the kinematic situation determined by the muon mass, a similar approach also applies to the HLbL corrections to the anomalous magnetic moments of the electron and $τ$ lepton, shifting the sensitivity in the loop integrals to smaller and larger momenta, respectively. In this Letter, we propagate the corresponding uncertainties of the various contributions, obtaining $a_e^\text{HLbL}= 3.51(23)\times 10^{-14}$ and $a_τ^\text{HLbL}= 3.77(29)\times 10^{-8}$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_10582 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $τ$ Hoferichter, Martin Stoffer, Peter Zillinger, Maximilian High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory In Refs. [1,2] we provided a complete dispersive evaluation of the hadronic light-by-light (HLbL) contribution to the anomalous magnetic moment of the muon. While the evaluation strategy was developed for the kinematic situation determined by the muon mass, a similar approach also applies to the HLbL corrections to the anomalous magnetic moments of the electron and $τ$ lepton, shifting the sensitivity in the loop integrals to smaller and larger momenta, respectively. In this Letter, we propagate the corresponding uncertainties of the various contributions, obtaining $a_e^\text{HLbL}= 3.51(23)\times 10^{-14}$ and $a_τ^\text{HLbL}= 3.77(29)\times 10^{-8}$. |
| title | Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $τ$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2504.10582 |