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.

arXiv comment4 pages. v2: corrected typos, added clarifying comments and mathematica script of solution in ancillary directory

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• Global Fits of Third Family Hypercharge Models to Neutral Current B-Anomalies and Electroweak Precision Observables
• Floccinaucinihilipilification: Semisimple extensions of the Standard Model gauge algebra
• Anomaly-free $U(1{)}^m$ extensions of the Standard Model
• Ising Machines for Diophantine Problems in Physics
• Flatland: abelian extensions of the Standard Model with semi-simple completions
• Varieties of four-dimensional gauge theories
• Anomalous $U(1)$ extension of the Standard Model
• Two-dimensional gauge anomalies and $p$-adic numbers
• A $\nu$ Supersymmetric Anomaly-free Atlas
• Solving Gauge Anomaly Equations in the Standard Model using the Method of Chords
• Integer solutions to the anomaly equations for a class of chiral gauge theories