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Higgs Physics

We discuss the interpretation of the LHC Higgs data and the test of the Higgs mechanism. This is done in a more model-independent approach relying on an effective Lagrangian, as well as in specific models like composite Higgs models and supersymmetric extensions of the Standard Model. The proper interpretation of the data requires the inclusion of higher-order corrections both for the relevant Higgs parameters and the production and decay processes. We review recent results obtained within the Collaborative Research Centre / Transregio 9 "Computational Particle Physics".