Anomaly cancellation with an extra gauge boson

TL;DR

This paper provides a general solution to anomaly cancellation conditions in Standard Model extensions that include an extra gauge boson, focusing on models with Standard Model fermions plus three right-handed neutrinos.

Contribution

It derives a comprehensive solution to the anomaly cancellation equations for a broad class of models with an additional gauge boson and Standard Model-like fermion content.

Findings

Derived a general solution to anomaly cancellation equations.

Applicable to models with Standard Model fermions plus three right-handed neutrinos.

Facilitates the construction of consistent gauge extensions.

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.