Motivated by an alternative description of the Higgs sector, we present an non-Hermitian but PT-symmetric extension of scalar-QED. This extenion involves an imaginary mixing mass term for scalars, but keeps real energies. Fundamental concepts of field theory must be questioned in this approach, like the derivation of the equations of motion, Noether's theorem, gauge invariance, the definition of path integral, ... and we show how a consistent model is possible.