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It is possible, and for several reasons attractive, to explain a collectionof recent anomalies involving $b\rightarrow s\mu\mu$ processes with a$Z^{\prime}$ gauge boson coupled only to the third family in the weakeigenbasis. From this premise, requiring cancellation of all gauge anomalies(including mixed and gravitational anomalies) fixes a unique charge assignmentfor the third family Standard Model fermions, which is simply proportional tohypercharge. After a brief discussion of some general features of anomalycancellation in $Z^\prime$ theories, we discuss the phenomenology of such a`Third Family Hypercharge Model', which is subject to a trio of importantconstraints: (i) $B_s-\bar{B}_s$ mixing, (ii) lepton universality of the $Z$boson couplings, and (iii) constraints from direct searches for the $Z^\prime$boson at the LHC. Finally, in gauging third family hypercharge, this modelforbids all Yukawa couplings (at the renormalisable level) save those of thethird family, leading to a possible explanation of the heaviness of the thirdfamily.

Connecting neutral current $B$ anomalies with the heaviness of the third family