Search for $Z'$, vacuum (in)stability and hints of high-energy structures

TL;DR

This paper investigates anomaly-free abelian extensions of the Standard Model, exploring their high-energy behavior, unification patterns, and vacuum stability using renormalisation group methods and LHC boundary conditions.

Contribution

It introduces a detailed analysis of high-energy unification and vacuum stability in abelian extensions, highlighting the role of abelian mixing and GUT thresholds.

Findings

Unification patterns linked to SO(10) GUT emerge near LHC probe regions.

Abelian mixing evolution offers insights into high-energy embeddings.

Models can be perturbative and vacuum-stable within certain parameter regions.

Abstract

We study the high-energy behaviour of a class of anomaly-free abelian extensions of the Standard Model. We focus on the interplay among the phenomenological characterisation of the model and the use of precise renormalisation group methods. Using as boundary conditions regions of the parameter space at the verge of current LHC probe, interesting unification patterns emerge linked to thresholds belonging to a SO(10) grand unification theory (GUT). We stress how the evolution of the mixing between the two abelian factors may provide a valuable tool to address the candidate high-energy embedding. The emerging unification scenarios are then challenged to be perturbative and to allow for a stable vacuum.