  The Standard Model of Fundamental Interactions (SM) represents one of the
most precise theories in physics. Among the predictions of the SM we find, for
instance, the anomalous magnetic moment of the electron $a_e =
0.001159652181643(764)$. This prediction agrees with the experimental results
to more than ten significant digits, the most accurate prediction in the
history of physics. However, nowadays we have several evidences that the SM
only explains $5 \%$ of the matter content of the Universe. The other $95 \%$
are composed by the so-called Dark Energy and Dark Matter. As their names
suggest, the nature of these two components of the energy/matter content of the
Universe is still unclear and represents one of the most important challenges
for the particle physicists. In this Thesis we have focused in the study of the
phenomenology of one of these mysterious components of the Universe, the Dark
Matter. Although we have many evidences of its existence, this new type of
matter has not been detected yet. As a consequence, the landscape of the models
that can explain the Dark Matter properties is huge. In the present work we
propose and study several Dark Matter models, setting limits by using
experimental results.
