  The proton radius puzzle, the discrepancy between the proton radius measured
in muonic hydrogen and electronic hydrogen, has yet to be resolved. There are
suggestions that beyond the standard model (BSM) physics could resolve both
this puzzle and the muon anomalous magnetic moment discrepancy. Karshenboim et
al. point out that simple, nonrenormalizable, models in this direction
involving new vector bosons have serious problems when confronting high energy
data. The prime example is radiative corrections to W to mu nu decay which
exceed experimental bounds. We show how embedding the model in a larger and
arguably renormalizable theory restores gauge invariance of the vector particle
interactions and controls the high energy behavior of decay and scattering
amplitudes. Thus BSM explanations of the proton radius puzzle can still be
viable.
