Radiative corrections to muon decays with massive Dirac neutrinos

Abstract

We have calculated the first-order radiative corrections to the muon decay ${\mu }^{+}\to e^{+}{\nu }_e{\overline{\nu }}_{\mu }$ along with the radiative decay ${\mu }^{+}\to e^{+}{\nu }_e{\overline{\nu }}_{\mu }\gamma$ for the case of a single intermediate-mass Dirac neutrino mixing in the three-neutrino world. The method of dimensional regularization was used. The $e^{+}$ spectra are shown for both unpolarized and polarized ${\mu }^{+}$ decays.