New Evaluation of the QED Running Coupling and of the Muonium Hyperfine Splitting
Abstract
We present a new independent evaluation of the hadronic and QCD contributions to the QED running coupling α(MZ) and to the muonium hyperfine splitting . We obtain: αhad=2770(17)10-5 and had=232.5(2.5) Hz. Combined with the QED and Electroweak Standard Model contributions, they lead to: α-1(MZ)=128.926(25) and to the Fermi energy splitting F=4~459~031~783(229) Hz, where for the latter, we have used, in addition, the precise measurement of the muonium hyperfine splitting exp. We use F in order to predict the ratios of masses mμ/me=206.768~276(11) and of the magnetic moments μμ/μeB=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.
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