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The Standard Model (SM) is amended by one generation of quarks and leptonswhich are vector-like (VL) under the SM gauge group but chiral with respect toa new $\mathrm{U}(1)_{3-4}$ gauge symmetry. We show that this model cansimultaneously explain the deviation of the muon $g-2$ as well as the observedanomalies in $b\rightarrow s\mu^+\mu^-$ transitions without conflicting withthe data on Higgs decays, lepton flavor violation, or $B_s-\bar{B}_s$ mixing.The model is string theory motivated and GUT compatible, i.e. UV complete, andfits the data predicting VL quarks, leptons and a massive $Z'$ at the$\mathrm{TeV}$ scale, as well as $\tau\to3\mu$ and $\tau\to\mu\gamma$ withinreach of future experiments. The Higgs couplings to SM generations areautomatically aligned in flavor space.

A "Vector-like chiral" fourth family to explain muon anomalies