It is known that Higgs mechanism is right but the theory does not fully explain mass and gravitation (see for instance http://www.higgs-boson.org/).
In the meantime, there is a rather old paper by M. Consoli where he tries to make connection between Newtonian gravity and Higgs condensate (Url: http://cds.cern.ch/record/404050/files/9910372.pdf).
Another paper by Paul S. Wesson suggests a connection between scalar field 5D gravity and the Higgs field of particle physics. See http://arxiv.org/ftp/arxiv/papers/1003/1003.2476.pdf.
For more recent reference, see for example Dejan Stojkovic (http://arxiv.org/abs/1305.6960) who discusses implications of the Higgs discovery for gravity and cosmology. The abstract goes as follows: "The discovery of the Higgs boson is one of the greatest discoveries in this century. The standard model is finally complete. Apart from its significance in particle physics, this discovery has profound implications for gravity and cosmology in particular. Many perturbative quantum gravity interactions involving scalars are not suppressed by powers of Planck mass. Since gravity couples anything with mass to anything with mass, then Higgs must be strongly coupled to any other fundamental scalar in nature, even if the gauge couplings are absent in the original Lagrangian."
So do you think it is possible to explain gravitation from Higgs boson? If yes, then how? And are there experimental supports for it?