Bootstrapping leading hadronic muon anomaly
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911089532338176 |
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| author | Zahed, Ahmadullah |
| author_facet | Zahed, Ahmadullah |
| contents | We bootstrap the leading order hadronic contribution to $a_μ$ using unitarity, analytic properties, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD), establishing a lower bound. Combining this lower bound with the remaining precisely calculated contributions from quantum electrodynamics and electroweak interactions, we achieve a lower bound on muon anomaly $a_μ$. Since the FESRs have uncertainties, our bound depends on the choices of FESRs within these uncertainties. A conservative choice of the FESR gives a conservative lower bound, consistent with Standard Model (SM) data-driven prediction. We show that there are other valid choices of FESRs within the uncertainties that lead to lower bounds, which are inconsistent with SM data-driven prediction but consistent with the measured values of the muon anomaly. The bootstrapped spectral density shows a $ρ$-resonance peak similar to experimental hadronic cross-ratio data, providing a bootstrap prediction for $ρ$-meson mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bootstrapping leading hadronic muon anomaly Zahed, Ahmadullah High Energy Physics - Theory High Energy Physics - Experiment High Energy Physics - Lattice High Energy Physics - Phenomenology We bootstrap the leading order hadronic contribution to $a_μ$ using unitarity, analytic properties, crossing symmetry and finite energy sum rules (FESR) from quantum chromodynamics (QCD), establishing a lower bound. Combining this lower bound with the remaining precisely calculated contributions from quantum electrodynamics and electroweak interactions, we achieve a lower bound on muon anomaly $a_μ$. Since the FESRs have uncertainties, our bound depends on the choices of FESRs within these uncertainties. A conservative choice of the FESR gives a conservative lower bound, consistent with Standard Model (SM) data-driven prediction. We show that there are other valid choices of FESRs within the uncertainties that lead to lower bounds, which are inconsistent with SM data-driven prediction but consistent with the measured values of the muon anomaly. The bootstrapped spectral density shows a $ρ$-resonance peak similar to experimental hadronic cross-ratio data, providing a bootstrap prediction for $ρ$-meson mass. |
| title | Bootstrapping leading hadronic muon anomaly |
| topic | High Energy Physics - Theory High Energy Physics - Experiment High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.00187 |