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Main Authors: Li, Siyuan, Steele, T. G., Ho, J., Raza, R., Williams, K., Kleiv, R. T.
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2404.08591
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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 QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_μ^{\mathrm{HVP,LO}}$, $a_μ=\left(g-2\right)_μ/2$) are determined by imposing Hölder inequalities and related inequality constraints on systems of Finite-Energy QCD sum-rules. This novel methodology is complementary to lattice QCD and data-driven approaches to determining $a_μ^{\mathrm{HVP,LO}}$. For the light-quark ($u,d,s$) contributions up to five-loop order in perturbation theory in the chiral limit, LO in light-quark mass corrections, next-to-leading order in dimension-four QCD condensates, and to LO in dimension-six QCD condensates, we find that $\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}\,$, bridging the range between lattice QCD and data-driven values.
format Preprint
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institution arXiv
publishDate 2024
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spellingShingle QCD bounds on leading-order hadronic vacuum polarization contributions to the muon anomalous magnetic moment
Li, Siyuan
Steele, T. G.
Ho, J.
Raza, R.
Williams, K.
Kleiv, R. T.
High Energy Physics - Phenomenology
QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon ($a_μ^{\mathrm{HVP,LO}}$, $a_μ=\left(g-2\right)_μ/2$) are determined by imposing Hölder inequalities and related inequality constraints on systems of Finite-Energy QCD sum-rules. This novel methodology is complementary to lattice QCD and data-driven approaches to determining $a_μ^{\mathrm{HVP,LO}}$. For the light-quark ($u,d,s$) contributions up to five-loop order in perturbation theory in the chiral limit, LO in light-quark mass corrections, next-to-leading order in dimension-four QCD condensates, and to LO in dimension-six QCD condensates, we find that $\left(657.0\pm 34.8\right)\times 10^{-10}\leq a_μ^{\mathrm{HVP,LO}} \leq \left(788.4\pm 41.8\right)\times10^{-10}\,$, bridging the range between lattice QCD and data-driven values.
title QCD bounds on leading-order hadronic vacuum polarization contributions to the muon anomalous magnetic moment
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2404.08591