New Evaluation of the QED Running Coupling and of the Muonium Hyperfine Splitting
Abstract
Description
We present a new independent evaluation of the hadronic and QCD contributions to the QED running coupling α(M_Z) and to the muonium hyperfine splitting ν. We obtain: Δα_{had}=2770(17)10^{-5} and Δν_{had}=232.5(2.5) Hz. Combined with the QED and Electroweak Standard Model contributions, they lead to: α^{-1}(M_Z)=128.926(25) and to the Fermi energy splitting ν_F=4~459~031~783(229) Hz, where for the latter, we have used, in addition, the precise measurement of the muonium hyperfine splitting ν_{exp}. We use ν_F in order to predict the ratios of masses m_μ/m_e=206.768~276(11) and of the magnetic moments μ_μ/μ^e_B=4.841~970~47(25)10^{-3}, which are in excellent agreement with the ones quoted by the Particle Data Group. These remarkable agreements can provide strong constraints on some contributions beyond the Standard Model.
Some corrections and explanations added. 6 pages (latex file), 2 tables, 1 figure
Some corrections and explanations added. 6 pages (latex file), 2 tables, 1 figure