Elementary Goldstone Higgs Boson and Dark Matter

TL;DR

This paper explores a perturbative extension of the Standard Model with elementary pseudo-Goldstone Higgs and dark matter particles, demonstrating their masses, stability, and compatibility with experimental data and relic density observations.

Contribution

It introduces a new elementary pseudo-Goldstone Higgs and dark matter model based on SU(4)/Sp(4) symmetry, with calculable quantum corrections and phenomenological viability.

Findings

Dark matter candidate is stable and neutral

Model aligns with Large Hadron Collider data

Dark matter relic density matches observations

Abstract

We investigate a perturbative extension of the Standard Model featuring elementary pseudo-Goldstone Higgs and dark matter particles. These are two of the five Goldstone bosons parametrising the SU(4)/Sp(4) coset space. They acquire masses, and therefore become pseudo-Goldstone bosons, due to the embedding of the Yukawa and the electroweak gauge interactions that do not preserve the full SU(4) symmetry. At the one-loop order the top corrections dominate and align the vacuum in the direction where the Higgs is mostly a pseudo-Goldstone boson. Because of the perturbative and elementary nature of the theory, the quantum corrections are precisely calculable. The remaining pseudo-Goldstone boson is identified with the dark matter candidate because it is neutral with respect to the Standard Model and stable. By a direct comparison with the Large Hadron Collider experiments, the model is found to be phenomenologically viable. Furthermore the dark matter particle leads to the observed thermal relic density while respecting the most stringent current experimental constraints.