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The left-right twin Higgs model predicts a light stable scalar \hat{S}, whichis a candidate for WIMP dark matter. We study its scattering on nucleon andfind that the cross section is below the CDMS II upper bound but can reach theSuperCDMS sensitivity. Then we study the Higgs phenomenology by paying specialattention to the decay h -> \hat{S} \hat{S} which is strongly correlated withthe dark matter scattering on nucleon. We find that such an invisible decay canbe sizable, which can severely suppress the conventional decay modes like h->VV(V=W,Z) and h->b\bar{b}. On the other hand, compared to the SM prediction, therates of Higgs boson productions at the LHC via gluon-gluon fusion, weak bosonfusion or in association with top quark pairs are all reduced significantly,e.g., the gluon-gluon fusion channel can be suppressed by about 30%.

Dark matter and Higgs phenomenology predicted by left-right twin Higgs model in light of CDMS II results