Using the approach based on Bogoliubov compensation principle is applied to the calculation of a contribution to the muon [Formula: see text]. Using the previous results on spontaneous generation of the effective anomalous three-boson interaction we calculate the contribution, which proves to agree with the well-known discrepancy. The calculated quantity contains no adjusting parameters but the experimental values for the muon and the [Formula: see text]-boson masses. The result can be considered as a confirmation of the approach.