Scalar Quintuplet Minimal Dark Matter with Yukawa Interactions: Perturbative up to the Planck Scale

TL;DR

This paper extends the scalar quintuplet minimal dark matter model with fermionic fields and Yukawa interactions to maintain perturbativity and vacuum stability up to the Planck scale, while also explaining neutrino masses.

Contribution

The authors introduce fermionic quintuplets and singlets with Yukawa couplings to the scalar quintuplet, extending the model to achieve perturbativity up to the Planck scale and incorporate neutrino mass generation.

Findings

Yukawa interactions delay the Landau pole to the Planck scale.

Parameter regions are identified where perturbativity and stability are maintained.

The model naturally explains small neutrino masses via the type-I seesaw mechanism.

Abstract

We confront the perturbativity problem in the real scalar quintuplet minimal dark matter model. In the original model, the quintuplet quartic self-coupling inevitably hits a Landau pole at a scale $\sim 10^{14}$ GeV, far below the Planck scale. In order to push up this Landau pole scale, we extend the model with a fermionic quintuplet and three fermionic singlets which couple to the scalar quintuplet via Yukawa interactions. Involving such Yukawa interactions at a scale $\sim 10^{10}$ GeV can not only keep all couplings perturbative up to the Planck scale, but can also explain the smallness of neutrino masses via the type-I seesaw mechanism. Furthermore, we identify the parameter regions favored by the condition that perturbativity and vacuum stability are both maintained up to the Planck scale.