Vanishing Higgs potential at the Planck scale in a singlet extension of the standard model

Abstract

We discuss the realization of a vanishing effective Higgs potential at the Planck scale, which is required by the multiple-point criticality principle (MPCP), in the standard model with singlet scalar dark matter and a right-handed neutrino. We find the scalar dark matter and the right-handed neutrino play crucial roles for realization of the MPCP, where a neutrino Yukawa becomes effective above the Majorana mass of the right-handed neutrino. Once the top mass is fixed, the MPCP at the (reduced) Planck scale and the suitable dark matter relic abundance determine the dark matter mass, $m_S$, and the Majorana mass of the right-handed neutrino, $M_R$, as $8.5(8.0)\times 10^2\mathrm{GeV}\le m_S\le 1.4(1.2)\times 10^3\mathrm{GeV}$ and $6.3(5.5)\times 10^{13}\mathrm{GeV}\le M_R\le 1.6(1.2)\times 10^{14}\mathrm{GeV}$ within current experimental values of the Higgs and top masses. This scenario is consistent with current dark matter direct search experiments, and will be checked by future experiments such as LUX with further exposure and/or the XENON1T.

11 pages, 14 figures, published version

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Cited by in corpus (12)

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• Criticality and Inflation of the Gauged B-L Model
• Higgs Criticality beyond the Standard Model
• Principle of Multiple Point Criticality in Multi-Scalar Dark Matter Models
• Gravitational effects on vanishing Higgs potential at the Planck scale
• Multiple-point principle with a scalar singlet extension of the Standard Model
• Multiple Point Principle of the Gauged B-L Model
• The Multiple Point Principle and Extended Higgs Sectors