Vacuum stability from vector dark matter

TL;DR

This paper investigates the stability of the vacuum in a vector dark matter model with a Higgs portal, using 2-loop renormalisation group equations to analyze parameter space consistent with experimental dark matter constraints.

Contribution

It provides a detailed 2-loop analysis of vacuum stability and perturbativity in a vector dark matter model with experimental constraints.

Findings

Identifies parameter regions compatible with relic abundance and direct detection bounds.

Demonstrates vacuum stability within certain parameter ranges.

Shows the impact of 2-loop corrections on the model's viability.

Abstract

We study a model of vector dark matter with the complex scalar Higgs portal. Renormalisation group equations at the 2-loop level are used to analyse perturbativity and stability of the vacuum. We impose experimental and theoretical constraints on the model and find regions in the parameter space consistent with the dark matter relic abundance inferred from the Planck data and bounds on DM-nucleon scattering cross-section from XENON and LUX experiments.