A model of muon anomalies

The Standard Model (SM) is augmented with a U(1)B−3Lμ gauge symmetry spontaneously broken above
the TeV scale when an SM-singlet scalar condenses. Scalar leptoquarks S1(3) = (3, 1(3), 1/3) charged under
U(1)B−3Lμ mediate the intriguing effects observed in muon (g − 2), R K (∗) , and b → sμ+μ− angular
distributions, while generically evading all other phenomenological constraints. The fermionic sector
is minimally extended with three right-handed neutrinos, and a successful type-I seesaw mechanism
is realized. Charged lepton flavor violation is effectively suppressed, and proton decay—a common
prediction of leptoquarks—is postponed to the dimension-6 effective Lagrangian. Unavoidable radiative
corrections in the Higgs mass and muon Yukawa favor leptoquark masses interesting for collider searches.
The parameters of the model are radiatively stable and can be evolved by the renormalization group to
the Planck scale without inconsistencies. Alternative lepton-flavored gauge extensions of the SM, under
which leptoquarks become muoquarks, are proposed for comparison.