Anomaly cancellation with an extra gauge boson

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 3 right-handed neutrinos.

Comments: 4 pages. v2: corrected typos, added clarifying comments and mathematica script of solution in ancillary directory