Renormalization Group Evolution with Scalar Leptoquarks

TL;DR

This paper calculates the two-loop renormalization group evolution of scalar leptoquark models, providing detailed anomalous dimensions and threshold corrections to understand their behavior at different energy scales.

Contribution

It presents the first comprehensive two-loop RG equations for scalar leptoquark models, including all couplings and threshold effects, with analytical results and computational tools.

Findings

Analytic expressions for anomalous dimensions and threshold corrections.

Insights into gauge and Yukawa coupling unification in leptoquark models.

Availability of computational notebook for further analysis.

Abstract

Leptoquarks are theoretically well-motivated and have received increasing attention in recent years as they can explain several hints for physics beyond the Standard Model. In this article, we calculate the renormalisation group evolution of models with scalar leptoquarks. We compute the anomalous dimensions for all couplings (gauge, Yukawa, Higgs and leptoquarks interactions) of the most general Lagrangian at the two-loop level and the corresponding threshold corrections at one-loop. The most relevant analytic results are presented in the Appendix, while the notebook containing the full expressions can be downloaded at https://github.com/SumitBanikGit/SLQ-RG. In our phenomenological analysis, we consider some exemplary cases with focus on gauge and Yukawa coupling unification.