Effects of genuine dimension-six Higgs operators

We systematically discuss the consequences of genuine dimension-six Higgs operators. These operators are not subject to stringent constraints from electroweak precision data. However, they can modify the couplings of the Higgs boson to electroweak gauge bosons and, in particular, the Higgs self-interactions. We study the sensitivity to which those couplings can be probed at future $e^{+}{e}^{-}$ linear colliders in the sub-TeV and in the multi-TeV range. We find that for $\sqrt{s}=500\mathrm{}\mathrm{GeV}$ with a luminosity of $1{\mathrm{ab}}^{-1}$ the anomalous WWH and ZZH couplings may be probed to about the 0.01 level, and the anomalous HHH coupling to about the 0.1 level.