Abstract
We explore a dark matter model extending the standard model particle content by one fermionic $SU(2)_L$ triplet and two fermionic $SU(2)_L$ quadruplets, leading to a minimal realistic UV-complete model of electroweakly interacting dark matter which interacts with the Higgs doublet at tree level via two kinds of Yukawa couplings. After electroweak symmetry-breaking, the physical spectrum of the dark sector consists of three Majorana fermions, three singly charged fermions, and one doubly charged fermion, with the lightest neutral fermion $\chi_1^0$ serving as a dark matter candidate. A typical spectrum exhibits a large degree of degeneracy in mass between the neutral and charged fermions, and we examine the one-loop corrections to the mass differences to ensure that the lightest particle is neutral. We identify regions of parameter space for which the dark matter abundance is saturated for a standard cosmology, including coannihilation channels, and find that this is typically achieved for $m_{\chi_1^0}\sim 2.4~\mathrm{TeV}$. Constraints from precision electroweak measurements, searches for dark matter scattering with nuclei, and dark matter annihilation are important, but leave open a viable range for a thermal relic.
Highlights
Natural DM candidates and whose interactions suggest the correct relic density for weak scale masses
We explore a dark matter model extending the standard model particle content by one fermionic SU(2)L triplet and two fermionic SU(2)L quadruplets, leading to a minimal realistic UV-complete model of electroweakly interacting dark matter which interacts with the Higgs doublet at tree level via two kinds of Yukawa couplings
After electroweak symmetry-breaking, the physical spectrum of the dark sector consists of three Majorana fermions, three singly charged fermions, and one doubly charged fermion, with the lightest neutral fermion χ01 serving as a dark matter candidate
Summary
If y1 is equal to y2, there exists a global custodial SU(2)R global symmetry, as is well known in the SM Higgs sector. 3.1 mQ < mT If mQ < mT , the leading order (LO) dark sector fermion masses can be derived to be: mLχ01O = mLχ±1O = mLχ±O± = mQ, mLχ02O mLχ±2O. 3.2 mQ > mT If mQ > mT and |yv| < 3mQ(mQ − mT ), the fermion masses are mLχ01O mLχ±1O mLχ02O = mLχ±2O = mLχ±O± = mQ,. In this case, the coupling to the Higgs boson does not vanish, that with the Z boson still vanishes because |N21|2 = |N31|2 = 1/b2.
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