Stable dark matter from Pauli blocking in the degenerate fermion background with Quantum Field Theory

TL;DR

This paper proposes a novel mechanism where Pauli blocking in a degenerate fermion background stabilizes dark matter, supported by quantum field theory derivations and applied to neutrino and dark matter models.

Contribution

It introduces a quantum field theory-based approach to dark matter stability via Pauli blocking, extending previous concepts with detailed evolution equations.

Findings

Dark matter stability can be achieved through Pauli blocking effects.

Derived evolution equations align with Boltzmann equation results.

Applied mechanism to neutrino and dark matter models successfully.

Abstract

We study a mechanism to make dark matter stable based on the Pauli blocking in the fermion background. In the background where fermions occupy the states, the decay of dark matter to those final states is not allowed, as a result, DM becomes stable. We derive the evolution equations of the distribution function in the quantum field theory and compare it with the Boltzmann equation. We apply this mechanism to a realistic model of neutrino and dark matter.