Abstract
The influence of electromagnetic interaction in one photon approximation was applied to study the muon decay in electroweak interaction. The divergences that ariose in this process were infrared ones in the low energy region. The divergent treatment was carried out with two methods: the minimum mass method and the dimensional regularization method. As a result, an electromagnetic correction was calculated for the muon electroweak decay rate. The results that we received confirm that the Fermi theory of weak interaction is a non-renormalizable theory.
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