Abstract: | A review of W boson properties in a constant magnetic field is given. The one-loop radiative corrections to the W boson mass operator and to the effective potential are taken into account simultaneously. The external field mass-shell equation and the Lorentz condition, which follows from it, also been considered with radiation effects included. The mass operator on the mass-shell in the weak and critical field limits is found and discussed. The critical field tachyon problem is investigated with regard to the radiative corrections. It is argued that the consistent treatment of the W boson in an external magnetic field crucially depends upon the value of the Higgs particle mass. The self consistency argument, related to the zero-charge situation in the critical field region, leads to an upper bound on the Higgs boson mass approximately equal to 280 GeV/c2. |