A study of electroweak vacuum metastability with a singlet scalar dark   matter
  We study several aspects of electroweak vacuum metastability when an extra gauge singlet scalar, a viable candidate for a dark matter particle, is added to the standard model of particle physics, which is assumed to be valid up to the Planck scale. Phase diagrams are drawn for different parameter spaces, and based on that, we graphically demonstrate how the confidence level, at which stability of electroweak vacuum is excluded, depends on such new physics parameters. 
Najimuddin Khan and Subhendu Rakshit
hep-ph astro-ph.HE