Three main strategies are being pursued to search for non-gravitational dark
matter signals: direct detection, indirect detection and collider searches.
Interestingly, experiments have reached sensitivities in these three search
strategies which may allow detection in the near future. In order to take full
benefit of the wealth of experimental data, and in order to confirm a possible
dark matter signal, it is necessary to specify the nature of the dark matter
particle and of the mediator to the Standard Model. In this paper, we focus on
a simplified model where the dark matter particle is a Majorana fermion that
couples to a light Standard Model fermion via a Yukawa coupling with a scalar
mediator. We review the observational signatures of this model and we discuss
the complementarity among the various search strategies, with emphasis in the
well motivated scenario where the dark matter particles are produced in the
early Universe via thermal freeze-out.Comment: 40+11 pages, 19 figures, review article, v2: matches published
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