Implications of Quantum Gravity for Dark Matter

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 $10^{-3}\mathrm{eV}\lesssim m\lesssim 10^7\mathrm{eV}$.

Honorable Mention in the 2021 Gravity Research Foundation Essay Competition. arXiv admin note: text overlap with arXiv:2009.11575

References in corpus (11)

• Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
• Test of the Equivalence Principle Using a Rotating Torsion Balance
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Test of Equivalence Principle at $10^{-8}$ Level by a Dual-species Double-diffraction Raman Atom Interferometer
• Short-range tests of the equivalence principle
• Quantum gravity at a TeV and the renormalization of Newton's constant
• Search for the effect of massive bodies on atomic spectra and constraints on Yukawa-type interactions of scalar particles
• New mass bound on fermionic dark matter from a combined analysis of classical dSphs
• Effective Theory for Dark Matter and a New Force in the Dark Matter Sector
• Excursion into Quantum Gravity via Inflation
• Hidden Sector and Gravity