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]

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Summary

Introduction

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.

Results
Conclusion

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