Dark Matter in Cosmology
Evidence for dark matter
From galaxies to the CMB
Dark matter is inferred from galaxy rotation curves, velocity dispersions, gravitational lensing, structure formation, and the CMB. A successful model must be cold or sufficiently nonrelativistic early enough to seed hierarchical clustering and match observed power spectra.
Cosmological role
Dark matter provides the gravitational scaffolding for baryonic collapse while interacting weakly enough to remain effectively collisionless on large scales.
Thermal relics and freeze-out
WIMP-style relic density
For a weakly interacting massive particle, the relic abundance is set by freeze-out when annihilations can no longer compete with expansion. A useful intuition is that the final density is inversely related to the thermally averaged annihilation rate .
Candidate classes
| Candidate | Typical idea |
|---|---|
| WIMPs | Thermal freeze-out with weak-scale interactions |
| Axions | Coherent field from Peccei-Quinn symmetry breaking |
| Sterile neutrinos | Warm dark matter or neutrino-portal scenarios |
| Primordial black holes | Non-particle compact objects as dark matter |
Axions and nonthermal production
Misalignment mechanism
Axion dark matter can arise from vacuum misalignment: the axion field initially sits away from the minimum of its potential and later begins oscillating when . These oscillations behave like cold matter on large scales.
What observable primarily motivates the existence of dark matter on galactic scales?
Flat rotation curves and gravitational lensing both provide strong evidence for unseen mass.
Correct answer: Galaxy rotation curves and lensing
In one phrase, what sets the relic abundance of a thermal WIMP?
The final abundance is determined by the freeze-out of annihilations against cosmic expansion.
Correct answer: freeze-out
Dark matter microphysics and constraints
Experimental and cosmological bounds
Direct detection, indirect detection, collider searches, and cosmological observables jointly restrict dark matter models. Small-scale structure, halo profiles, and CMB anisotropies can probe self-interactions, free-streaming, and energy injection.
Why are hot relics like standard light neutrinos not the dominant dark matter component?
Hot relics remain relativistic for too long and suppress small-scale structure formation.
Correct answer: They erase small-scale structure by free-streaming
Name one axion production mechanism in the early universe.
The misalignment mechanism is the canonical cosmological production channel for axions.
Correct answer: misalignment