Subleading hadronic vacuum polarization contributions to muon g − 2: μ+μ− → γ → π0γ

• Published in: Journal of the Korean Physical Society Vol. 72; no. 2; pp. 221 - 227
• Main Authors: Hong, Deog Ki, Kim, Du Hwan, Lee, Jong-Wan
• Format: Journal Article
• Language: English
• Published: Seoul The Korean Physical Society 01.01.2018; 한국물리학회
• Subjects: Mathematical and Computational Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Theoretical; 물리학; Anomalous magnetic moment of muon; Hadronic vacuum polarization
• ISSN: 0374-4884; 1976-8524
• DOI: 10.3938/jkps.72.221

We consider the subleading contributions of the hadronic vacuum polarization, involving the π 0 γ * γ * transition form factor, to the muon anomalous magnetic moment g − 2. Various models for the form factor, based on hadronic ansatzes and holographic principles, are considered: They are the Wess-Zumino-Witten, vector meson dominance, lowest meson dominance (one and two vector resonances), and anti-de Sitter/quantum chromodynamics (AdS/QCD) models. The model parameters are determined by fitting the experimental data for the e + e − → π 0 γ total cross section. We report the following numerical result for the corrections to the muon g − 2: the resulting values of two vector resonances model are one order-of-magntitude smaller than the one obtained from the dispersion relation.