  Gauge models with massive vector leptoquarks at the TeV scale provide a
successful framework for addressing the B-physics anomalies. Among them, the
4321 model has been considered as the low-energy limit of some complete
theories of flavor. In this work, we study the renormalization group evolution
of this model, laying particular emphasis on the scalar sector. We find that,
despite the asymptotic freedom of the gauge couplings, Landau poles can arise
at relatively low scale due to the fast running of quartic couplings. Moreover,
we discuss the possibility of radiative electroweak symmetry breaking, and
characterize the fine-tuning associated with the hierarchy between the
electroweak scale and the additional TeV-scale scalars. Finally, the idea of
scalar fields unification is explored, motivated by ultraviolet embeddings of
the 4321 model.
