On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter

TL;DR

This paper develops Hermitian interactions for Elko-based quantum fields, proposing a derivative Elko-Higgs interaction as a dark matter candidate, constrained by cosmological and particle physics data.

Contribution

It introduces a Hermitian, renormalizable derivative Elko-Higgs interaction model, linking Elko spinors to dark matter phenomenology with specific parameter constraints.

Findings

The derivative Elko-Higgs interaction is a viable dark matter candidate.

Model parameters are constrained by cosmological and collider data.

The approach connects Elko theory with observable dark matter signatures.

Abstract

In this paper, we provide a set of Hermitian interactions for quantum fields based on Elko, considering the recent achievements concerning the most general form of singular spinors and Wigner degeneracy. We consider Hermiticity and renormalizability a criterion to define the derivative Elko-Higgs interaction as the suitable candidate for a dark coupling. Then, the free parameters of the model are fixed by cosmological constraints on the dark matter abundance, bounds on the Higgs invisible decays, and limits on the electron-dark matter scattering mediated by the Higgs.