Running electromagnetic coupling constant: low energy normalization and the value at MZ
Abstract
A numerical value for the running electromagnetic coupling constant in the MS scheme is calculated at the low energy normalization scale equal to the tau-lepton mass Mτ. This low energy boundary value is used for running the electromagnetic coupling constant to larger scales where high precision experimental measurements can be performed. Particular scales of interest are the b-quark mass for studying the -resonance physics and the Z-boson mass MZ for high precision tests of the standard model and for the Higgs mass determination from radiative corrections. A numerical value for the running electromagnetic coupling constant at MZ in the on-shell renormalization scheme is also given.
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