Complete vectorlike fourth family and new 
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 for muon anomalies

Junichiro Kawamura, Stuart Raby, Andreas Trautner

doi:10.1103/physrevd.100.055030

We consider the Standard Model (SM) with the addition of a $\mathrm{U}(1{)}^{\ensuremath{'}}$ gauge symmetry and a complete fourth family of quarks and leptons which are vectorlike with respect to the full $\mathrm{SU}(3{)}_{\mathrm{C}}\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2{)}_{\mathrm{L}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}_{\mathrm{Y}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}^{\ensuremath{'}}$ gauge symmetry. The model provides a unified explanation of experimental anomalies in $(g\ensuremath{-}2{)}_{\ensuremath{\mu}}$ as well as $b\ensuremath{\rightarrow}s{\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{\ensuremath{-}}$ decays. We find good fits to the deviations from the SM, while at the same time fitting all other SM observables. The model includes a new ${Z}^{\ensuremath{'}}$ gauge boson, a $\mathrm{U}(1{)}^{\ensuremath{'}}$-breaking scalar, and vectorlike leptons all with mass of order a few hundred giga-electron-volts. It is consistent with all currently released high energy experimental data; however, it appears imminently testable with well-designed future searches. Also, precision flavor experiments, especially more accurate direct determinations of Cabibbo-Kobayashi-Maskawa matrix elements, would allow probing the best fit points.

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