Common explanations for the Dark Matter and the muon g-2 anomaly

Recently the Fermilab Moun g-2 experiment measured the muon anomalous magnetic moment confirming the deviation from the Standard Model value, found in the previous BNL experiment. In this thesis we will study how the Standard Model can be extended in order to explain such deviation. Within these models we will focus on those one that provide a Dark Matter candidate compatible with the most recent bounds from direct detection and relic density measurements.