Anomalous $U(1)$ extension of the Standard Model

Abstract

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.

33 pages, 2 figures. Published version

References in corpus (16)

• Anomalies, Anomalous U(1)'s and generalized Chern-Simons terms
• Probing a Very Narrow $Z^{\prime }$ Boson with CDF and D0 Data
• Minimal Anomalous U(1)' Extension of the MSSM
• Anomaly driven signatures of new invisible physics at the Large Hadron Collider
• Global Analysis of Leptophilic Z' Bosons
• Vacuum Stability in U(1)-Prime Extensions of the Standard Model with TeV Scale Right Handed Neutrinos
• Probing the Green-Schwarz Mechanism at the Large Hadron Collider
• Anomalies, Chern-Simons Terms and Chiral Delocalization in Extra Dimensions
• Anomalous $Z^{\prime }$ bosons for anomalous $B$ decays
• Anomalous U(1)'s, Chern-Simons couplings and the Standard Model
• Search for the $Z^{\prime }$ boson decaying to a right-handed neutrino pair in leptophobic $\mathrm{U}(1)$ models
• Leptophilic U(1) Massive Vector Bosons from Large Extra Dimensions
• Anomalies and the Green-Schwarz Mechanism
• Anomalous and axial Z' contributions to g-2
• Leptophilic U(1) Massive Vector Bosons from Large Extra Dimensions: Reexamination of Constraints from LEP Data
• Pinning down the leptophobic $Z^{\prime }$ in leptonic final states with Deep Learning

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