Phenomenology of SM and SUSY Higgs bosons at the LHC

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I briefly review the physics of the Higgs sector in the Standard Model (SM) and its supersymmetric extension, in particular the MSSM, and discuss the prospects for discovering the Higgs particles at the Large Hadron Collider. Some emphasis will be put on the theoretical developments which occurred in the last few years.
20 pages, 15 figures, talk at "Physics at the LHC", Vienna, July 2004

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