Implications of Quantum Gravity for Dark Matter

TL;DR

This paper explores how quantum gravity and spin-statistics theorem impose bounds on dark matter particle masses and decay properties, affecting both bosonic and fermionic candidates.

Contribution

It demonstrates the implications of quantum gravity for dark matter, deriving bounds on particle masses and decay lifetimes based on fundamental principles.

Findings

Lower bounds on bosonic dark matter masses due to quantum gravity

Lower bounds on fermionic dark matter masses from spin-statistics

Upper bounds on dark matter masses from decay lifetime constraints

Abstract

In this essay we show that quantum gravity and the spin-statistics theorem have very interesting consequences for dark matter candidates. Quantum gravity can lead to fifth force type interactions that lead to a lower bound on the masses of bosonic candidates. In the case of fermions, the spin-statistics theorem leads to a lower bound on fermion masses. For both bosonic and fermionic dark matter candidates, quantum gravity leads to a decay of dark matter particles. A comparison of their lifetime with the age of the universe leads to an upper bound on their masses. For singlet scalar dark matter fields, we find $10^{-3}{\rm eV} \lesssim m\lesssim 10^{7}{\rm eV}$.