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We study the vacuum stability of a minimal Higgs portal model in which thestandard model (SM) particle spectrum is extended to include one complex scalarfield and one Dirac fermion. These new fields are singlets under the SM gaugegroup and are charged under a global U(1) symmetry. Breaking of this U(1)symmetry results in a massless Goldstone boson, a massive CP-even scalar, andsplits the Dirac fermion into two new mass-eigenstates, corresponding toMajorana fermions. The lightest Majorana fermion (w) is absolutely stable,providing a plausible dark matter (DM) candidate. We show that interactionsbetween the Higgs sector and the lightest Majorana fermion which are strongenough to yield a thermal relic abundance consistent with observation caneasily destabilize the electroweak vacuum or drive the theory into anon-perturbative regime at an energy scale well below the Planck mass. However,we also demonstrate that there is a region of the parameter space whichdevelops a stable vacuum (up to the Planck scale), satisfies the relicabundance, and is in agreement with direct DM searches. Such an interestingregion of the parameter space corresponds to DM masses 350 GeV \alt m_w \alt 1TeV. The region of interest is within reach of second generation DM directdetection experiments.

Majorana dark matter through the Higgs portal under the vacuum stability lamppost