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

TL;DR

This paper explores how a vanishing Higgs potential at the Planck scale can be achieved in a standard model extension with singlet scalar dark matter and right-handed neutrinos, aligning with the multiple-point criticality principle.

Contribution

It demonstrates that scalar dark matter and right-handed neutrinos are essential for realizing the MPCP at the Planck scale in this extended model.

Findings

Dark matter mass range: 850-1400 GeV

Majorana neutrino mass range: 5.5-16 x 10^{13} GeV

Scenario consistent with current dark matter experiments

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 $8.5~(8.0)\times10^2~{\rm GeV}\leq m_S\leq1.4~(1.2)\times10^3~{\rm GeV}$ and $6.3~(5.5)\times10^{13}~{\rm GeV}\leq M_R\leq1.6~(1.2)\times10^{14}~{\rm GeV}$ 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.