Radiative effects in the scalar sector of vector leptoquark models

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 scales 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.

Automated summary

Studied gauge models with massive vector leptoquarks and focused on the renormalization group evolution of the scalar sector. Found that despite the asymptotic freedom of gauge couplings, Landau poles can appear at relatively low scales due to the fast running of quartic couplings. Discussed the possibility of radiative electroweak symmetry breaking and the associated fine-tuning related to the hierarchy between the electroweak scale and additional TeV-scale scalars. Explored the idea of scalar fields unification based on the ultraviolet embeddings of the 4321 model.