EWSB from the soft portal into Dark Matter and prediction for direct detection

TL;DR

It is shown that the soft portal into DM naturally triggers radiative electroweak symmetry breaking (EWSB) via large 1-loop DM corrections to the effective potential, predicting the DM mass range to be 700  GeV<M(DM)<2‬TeV.

Abstract

Scalar Dark Matter (DM) can have dimensionful coupling to the Higgs boson - the "soft" portal into DM - which is predicted to be unsuppressed by underlying SO(10) GUT. The dimensionful coupling can be large, μ/v >> 1, without spoiling perturbativity of low energy theory up to the GUT scale. We show that the soft portal into DM naturally triggers radiative EWSB via large 1-loop DM corrections to the effective potential. In this scenario EWSB, DM thermal freeze-out cross section and DM scattering on nuclei are all dominated by the same coupling, predicting DM mass range to be 700 GeV< M_{DM} < 2 TeV. The spin-independent direct detection cross section is predicted to be just at the present experimental sensitivity and can explain the observed CDMS II recoil events.

Figures (3)

• Figure 1: Dominant 1-loop diagrams contributing to $\mu^2_1.$
• Figure 2: An example of $\mu_1$ running from $M_\text{G}$ to $M_Z$ ($t = \log \mu/\text{GeV}$). The inset enlarges the low energy region, demonstrating EWSB due to 1-loop corrections from DM.
• Figure 3: Spin-independent DM direct detection cross-section/nucl. vs. $M_{\mathrm{DM}}$ for points where $\mu_{1}^{2}$ is negative due to corrections from dark sector. For SM Higgs mass see text.