Radiative Effects in the Scalar Sector of Vector Leptoquark Models

TL;DR

This paper investigates the scalar sector of vector leptoquark models, focusing on renormalization group evolution, Landau poles, electroweak symmetry breaking, and scalar unification within the 4321 framework.

Contribution

It provides a detailed analysis of the scalar sector's behavior, including Landau pole emergence and potential for scalar unification in 4321 models.

Findings

Landau poles can occur at low scales due to quartic coupling running

Radiative electroweak symmetry breaking is possible within the model

Scalar unification ideas are explored in the context of UV completions

Abstract

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.