Anomalous U(1) extension of the Standard Model
arxiv(2024)
摘要
We present a set of example models in which the Standard Model (SM) symmetry
group is extended by a new abelian symmetry. This additional symmetry appears
anomalous in the effective low-energy theory; however, the anomalies cancel out
when massive chiral fermions not present in the effective low-energy theory are
taken into account. These chiral fermions under the new abelian gauge group,
are chosen to be vector-like under the SM symmetries, and reside in the same
representations as quarks and leptons. This allows us to quantitatively
determine the magnitude of tree-level interactions between three vector bosons
induced in low-energy effective field theory by the integration of chiral heavy
fermions. We also examine the perturbativity constraints of the theory and the
ultraviolet cut-off. We conclude by highlighting possible extensions of our
work.
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