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With the discovery of the Higgs boson, the LHC experiments have
closed the most important gap in our understanding of fundamental
interactions, confirming that such interactions between elementary
particles can be described by quantum field theory, more
specifically by a renormalizable gauge theory. This theory is "a
priori" valid for arbitrarily high energy scales and does not
require an ultraviolet completion.
Dark matter is a frequently discussed topic in contemporary particle physics. Written strictly in the language of particle physics and quantum field theory, these course-based lecture notes focus on a set of standard calculations that students need in order to understand weakly interacting dark matter candidates. After introducing some general features of these dark matter agents and their main competitors, the Higgs portal scalar and supersymmetric neutralinos are introduced as our default models. In turn, this serves as a basis for exploring four experimental aspects: the dark matter relic density extracted from the cosmic microwave background; indirect detection including the Fermi galactic center excess; direct detection; and collider searches. Alternative approaches, like an effective theory of dark matter and simplified models, naturally follow from the discussions of these four experimental directions.
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