Abstract
Many extensions of the standard model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel. We find a general solution to the resulting diophantine equations in the plausible case where the chiral fermion content is that of the standard model plus three right-handed neutrinos.
Highlights
Many extensions of the standard model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel
We find a general solution to the resulting diophantine equations in the plausible case where the chiral fermion content is that of the standard model plus three right-handed neutrinos
The couplings of the Z0 to fermionic matter cannot be arbitrarily chosen; just as for the hypercharge gauge boson, we expect first that they should be commensurate and second that anomalies should cancel [6]
Summary
Many extensions of the standard model include an extra gauge boson, whose couplings to fermions are constrained by the requirement that anomalies cancel. We find a general solution to the resulting diophantine equations in the plausible case where the chiral fermion content is that of the standard model plus three right-handed neutrinos.
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