QCD Bounds on Leading-Order Hadronic Vacuum Polarization Contributions to the Muon Anomalous Magnetic Moment

Authors

Siyuan Li
T. G. Steele
Jason N.E. Ho, Dordt UniversityFollow
R. Raza
K. Williams
R. T. Kleiv

Document Type

Article

Publication Date

7-30-2024

Department

Engineering

Keywords

quantum chromodynamics, strong interaction, sum rules, muons, magnetic moment

Abstract

QCD bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon [𝑎HVP,LO𝜇, 𝑎𝜇 =(𝑔−2)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 𝑎HVP,LO𝜇. 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 findthat (657.0±34.8) ×10−10 ≤𝑎HVP,LO𝜇 ≤(788.4±41.8) ×10−10, bridging the range between lattice QCD and data-driven values.

Comments

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QCD Bounds on Leading-Order Hadronic Vacuum Polarization...

Source Publication Title

Physical Review D

Publisher

American Physical Society

Volume

110

First Page

014046

DOI

10.1103/PhysRevD.110.014046

Recommended Citation

Li, S., Steele, T. G., Ho, J. N., Raza, R., Williams, K., & Kleiv, R. T. (2024). QCD Bounds on Leading-Order Hadronic Vacuum Polarization Contributions to the Muon Anomalous Magnetic Moment. Physical Review D, 110, 014046. https://doi.org/10.1103/PhysRevD.110.014046