Vacuum-Polarization Contributions to the Sixth-Order Anomalous Magnetic Moment of the Muon and Electron

1971 ◽  
Vol 3 (2) ◽  
pp. 356-362 ◽  
Author(s):  
Stanley J. Brodsky ◽  
Toichiro Kinoshita
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Vacuum Polarization ◽  
Sixth Order

scholarly journals Two and three pseudoscalar production in e+e− annihilation and their contributions to (g − 2)μ

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Wen Qin ◽  
Ling-Yun Dai ◽  
Jorge Portolés
Keyword(s):  
Experimental Data ◽  
Theoretical Prediction ◽  
Pseudoscalar Meson ◽  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Vacuum Polarization ◽  
Meson Production ◽  
The Other ◽  
Joint Analysis ◽  
The Standard Model

Abstract A coherent study of e+e− annihilation into two (π+π−, K+K−) and three (π+π−π0, π+π−η) pseudoscalar meson production is carried out within the framework of resonance chiral theory in energy region E ≲ 2 GeV. The work of [L.Y. Dai, J. Portolés, and O. Shekhovtsova, Phys. Rev. D88 (2013) 056001] is revisited with the latest experimental data and a joint analysis of two pseudoscalar meson production. Hence, we evaluate the lowest order hadronic vacuum polarization contributions of those two and three pseudoscalar processes to the anomalous magnetic moment of the muon. We also estimate some higher-order additions led by the same hadronic vacuum polarization. Combined with the other contributions from the standard model, the theoretical prediction differs still by (21.6 ± 7.4) × 10−10 (2.9σ) from the experimental value.

scholarly journals On sixth-order corrections to the anomalous magnetic moment of the electron

1970 ◽  
Vol 33 (8) ◽  
pp. 605-606 ◽  
Author(s):  
A. De Rújula ◽  
B. Lautrup ◽  
A. Peterman
Keyword(s):  
Magnetic Moment ◽  
Anomalous Magnetic Moment ◽  
Sixth Order
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