Abstract
We propose an extension of the standard model with Majorana-type fermionic dark matters based on the flatland scenario where all scalar coupling constants, including scalar mass terms, vanish at the Planck scale, i.e. the scalar potential is flat above the Planck scale. This scenario could be compatible with the asymptotic safety paradigm for quantum gravity. We search the parameter space so that the model reproduces the observed values such as the Higgs mass, the electroweak vacuum and the relic abundance of dark matter. We also investigate the spin-independent elastic cross section for the Majorana fermions and a nucleon. It is shown that the Majorana fermions as dark matter candidates could be tested by dark matter direct detection experiments such as XENON, LUX and PandaX-II. We demonstrate that within the minimal setup compatible with the flatland scenario at the Planck scale or asymptotically safe quantum gravity, the extended model could have a strong predictability.
Highlights
With the discovery of the Higgs boson [1,2] the standard model (SM) was complete
We propose an extension of the standard model with Majorana-type fermionic dark matters based on the flatland scenario where all scalar coupling constants, including scalar mass terms, vanish at the Planck scale, i.e. the scalar potential is flat above the Planck scale
We have proposed an extension of the SM based on the flatland scenario with dark matter candidates
Summary
With the discovery of the Higgs boson [1,2] the standard model (SM) was complete. This brings us to the stage in elementary particle physics. The observed Higgs boson mass 125 GeV indicates that the perturbative renormalization group (RG) flow of the Higgs quartic coupling constant with the top quark mass Mt 171 GeV reaches to zero around the Planck scale Mpl within the standard model (SM) [3,4] This fact might indicate a compelling evidence for dynamics of particles from a high energy theory including quantum gravity if one assumes that the SM is valid up to Mpl or effects of new physics do not drastically change dynamics of SM particles. The dark matter relic abundance in this model corresponds to that of the Majorana fermions This constraint can fix, for instance, the value of the ratio between the Yukawa couplings. We propose a flatland model involving fermionic dark matter candidates
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