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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15432 |
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| _version_ | 1866909299152781312 |
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| author | Li, Siyuan Steele, T. G. Ho, J. Raza, R. Williams, K. Kleiv, R. T. |
| author_facet | Li, Siyuan Steele, T. G. Ho, J. Raza, R. Williams, K. Kleiv, R. T. |
| contents | This study establishes bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_μ^{\mathrm{HVP,LO}}$, $a_μ= (g-2)_μ/2$) by using Hölder's inequality and related inequalities in Finite-Energy QCD sum rules. Considering contributions from light quarks ($u,d,s$) up to five-loop order in perturbation theory within the chiral limit, leading-order light-quark mass corrections, next-to-leading order for dimension-four QCD condensates, and leading-order for dimension-six QCD condensates, the study finds QCD lower and upper bounds as $\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}\,$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15432 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds on $a_μ^{\mathrm{HVP,LO}}$ using Hölder's inequalities and finite-energy QCD sum rules Li, Siyuan Steele, T. G. Ho, J. Raza, R. Williams, K. Kleiv, R. T. High Energy Physics - Phenomenology This study establishes bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_μ^{\mathrm{HVP,LO}}$, $a_μ= (g-2)_μ/2$) by using Hölder's inequality and related inequalities in Finite-Energy QCD sum rules. Considering contributions from light quarks ($u,d,s$) up to five-loop order in perturbation theory within the chiral limit, leading-order light-quark mass corrections, next-to-leading order for dimension-four QCD condensates, and leading-order for dimension-six QCD condensates, the study finds QCD lower and upper bounds as $\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}\,$. |
| title | Bounds on $a_μ^{\mathrm{HVP,LO}}$ using Hölder's inequalities and finite-energy QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.15432 |