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We present the searches for the Standard Model Higgs boson, using the full Run II dataset of the Fermilab Tevatron collider, collected with the CDF and D\O\ detectors. A significant excess of events is observed, consistent with the presence of a Standard Model Higgs boson of mass 125 GeV. We also present tests of different spin/parity hypotheses, performed in the $VH \to V b\bar b$ channels at D\O, and new searches in invisible modes conducted at CDF.

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