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We extend our study of deriving the local gauge invariance with spontaneoussymmetry breaking in the context of an effective field theory by consideringself-interactions of the scalar field and inclusion of the electromagneticinteraction. By analyzing renormalizability and the scale separation conditionsof three-, four- and five-point vertex functions of the scalar field, we fixthe two couplings of the scalar field self-interactions of the leading orderLagrangian. Next we add the electromagnetic interaction and derive conditionsrelating the magnetic moment of the charged vector boson to its charge and themasses of the charged and neutral massive vector bosons to each other and thetwo independent couplings of the theory. We obtain the bosonic part of theLagrangian of the electroweak Standard Model as a unique solution to theconditions imposed by the self-consistency conditions of the consideredeffective field theory.

physics letters b

Derivation of spontaneously broken gauge symmetry from the consistency  of effective field theory II: Scalar field self-interactions and the  electromagnetic interaction