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XENON100 and the LHC are two of the most promising machines to test thephysics beyond the Standard Model. In the meantime, indirect hints push us tobelieve that the dark matter and Higgs boson could be the two next fundamentalparticles to be discovered. Whereas ATLAS and CMS have just released their newlimits on the Higgs searches, XENON100 obtained very recently strongconstraints on DM-proton elastic scattering. In this work, we show that when wecombined WMAP and the most recent results of XENON100, the invisible width ofthe Higgs to scalar dark matter is negligible($\lesssim 10%$), except in asmall region with very light dark matter ($\lesssim 10$ GeV) not yet excludedby XENON100 or around 60 GeV where the ratio can reach 50% to 60%. The newresults released by the Higgs searches of ATLAS and CMS set very strong limitson the elastic scattering cross section, even restricting it to the region $8\times 10^{-46} \mrm{cm^2} \lesssim \sigma_{S-p}^{SI}\lesssim 2 \times 10^{-45}\mrm{cm^{2}}$ in the hypothesis $135 \mrm{GeV} \lesssim M_H \lesssim 155\mrm{GeV}$.

Higgs searches and singlet scalar dark matter: Combined constraints from XENON 100 and the LHC