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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | https://arxiv.org/abs/2405.13638 |
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| _version_ | 1866914972176482304 |
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| author | Boito, Diogo London, Cristiane Y. Masjuan, Pere Rojas, Camilo |
| author_facet | Boito, Diogo London, Cristiane Y. Masjuan, Pere Rojas, Camilo |
| contents | The MUonE experiment is designed to extract the hadronic contribution to the electromagnetic coupling in the space-like region, $Δα_{\rm had}(t)$, from elastic $eμ$ scattering. The leading order hadronic vacuum polarization contribution to the muon $g-2$, $a_μ^{\mathrm{HVP, \,LO}}$, can then be obtained from a weighted integral over $Δα_{\rm had}(t)$. This, however, requires knowledge of $Δα_{\rm had}(t)$ in the whole domain of integration, which cannot be achieved by experiment. In this work, we propose to use Padé and D-Log Padé approximants as a systematic and model-independent method to fit and reliably extrapolate the future MUonE experimental data, extracting $a_μ^{\mathrm{HVP,\,LO}}$ with a conservative but competitive uncertainty, using no, or very limited, external information. The method relies on fundamental analytic properties of the two-point correlator underlying $a_μ^{\mathrm{HVP,\,LO}}$ and provides lower and upper bounds for the result for $a_μ^{\mathrm{HVP,\,LO}}$. We demonstrate the reliability of the method using toy data sets generated from a model for $Δα_{\rm had}(t)$ reflecting the expected statistics of the MUonE experiment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13638 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Model-independent extrapolation of MUonE data with Padé and D-Log approximants Boito, Diogo London, Cristiane Y. Masjuan, Pere Rojas, Camilo High Energy Physics - Phenomenology The MUonE experiment is designed to extract the hadronic contribution to the electromagnetic coupling in the space-like region, $Δα_{\rm had}(t)$, from elastic $eμ$ scattering. The leading order hadronic vacuum polarization contribution to the muon $g-2$, $a_μ^{\mathrm{HVP, \,LO}}$, can then be obtained from a weighted integral over $Δα_{\rm had}(t)$. This, however, requires knowledge of $Δα_{\rm had}(t)$ in the whole domain of integration, which cannot be achieved by experiment. In this work, we propose to use Padé and D-Log Padé approximants as a systematic and model-independent method to fit and reliably extrapolate the future MUonE experimental data, extracting $a_μ^{\mathrm{HVP,\,LO}}$ with a conservative but competitive uncertainty, using no, or very limited, external information. The method relies on fundamental analytic properties of the two-point correlator underlying $a_μ^{\mathrm{HVP,\,LO}}$ and provides lower and upper bounds for the result for $a_μ^{\mathrm{HVP,\,LO}}$. We demonstrate the reliability of the method using toy data sets generated from a model for $Δα_{\rm had}(t)$ reflecting the expected statistics of the MUonE experiment. |
| title | Model-independent extrapolation of MUonE data with Padé and D-Log approximants |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.13638 |