Relic Abundance Predicts Universal Mass-Width Relations for Dark Matter Interactions

Understand

We find new and universal relations for the properties of dark matter particles consistent with standard relic abundances.

• Analysis is based on first characterizing the $s$-channel resonant annihilation process in great detail, keeping track of all velocity-dependence, the presence of multiple scales and treating each physical regime above, below, and close to thresholds separately.
• The resonant regime as well as extension to include non-resonant processes are then reduced to analytic formulas and inequalities that describe the full range of multi-dimensional numerical work.
• These results eliminate the need to recompute relic abundance model by model, and reduce calculations to verifying certain scale and parameter combinations are consistent.