Bounds on 𝑎HVP,LO Using Hölder’s Inequalities and Finite-Energy QCD Sum Rules

Authors

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

Document Type

Article

Publication Date

12-2024

Department

Engineering

Keywords

Muon 𝑔−2, HVP, QCD sum rules, finite-energy QCD sum rules

Abstract

This study establishes bounds on the leading-order (LO) hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon (𝑎HVP,LO 𝜇 ,𝑎𝜇 =(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 (657.0±34.8)×10−10 ≤𝑎HVP,LO 𝜇 ≤(788.4±41.8)×10−10.

Comments

Access on publisher's site:

Bounds on 𝑎HVP,LO Using Hölder’s Inequalities and Finite-Energy QCD Sum Rules

Source Publication Title

Nuclear and Particle Physics Proceedings

Publisher

Elsevier

Volume

347

First Page

6

DOI

10.1016/j.nuclphysbps.2024.09.002

Recommended Citation

Li, S., Steele, T. G., Ho, J. N., Raza, R., Williams, K., & Kleiv, R. T. (2024). Bounds on 𝑎HVP,LO Using Hölder’s Inequalities and Finite-Energy QCD Sum Rules. Nuclear and Particle Physics Proceedings, 347, 6. https://doi.org/10.1016/j.nuclphysbps.2024.09.002