Abstract
We investigate Planck scale boundary conditions on the Higgs sector of the standard model with a gauge singlet scalar dark matter. We will find that vanishing selfcoupling and Veltman condition at the Planck scale are realized with the 126 GeV Higgs mass and top pole mass, 172 GeV ≲ M t ≲ 173.5 GeV, where a correct abundance of scalar dark matter is obtained with mass of 300 GeV ≲ m S ≲ 1 TeV. It means that the Higgs potential is flat at the Planck scale, and this situation can not be realized in the standard model with the top pole mass.
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Haba, N., Kaneta, K. & Takahashi, R. Planck scale boundary conditions in the standard model with singlet scalar dark matter. J. High Energ. Phys. 2014, 29 (2014). https://doi.org/10.1007/JHEP04(2014)029
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DOI: https://doi.org/10.1007/JHEP04(2014)029