Radiative corrections to order a for the muon decay rate using Sirlin's on-mass-shell renormalization scheme give a 7% increase35 in the muon decay rate compared to the tree graph prediction:
Since the decay rate is directly proportional to mµ^5 , the increase can be considered to be an increase in the muon mass of about 1.36%, from the uncorrected theoretical value of 104.8 MeV to 106.2 MeV.
The experimental value is 105.7 MeV.