We provide a unified presentation of extensions of the Minimal Dark Matter framework in which new fermionic electroweak multiplets are coupled to each other via the Standard Model Higgs doublet. We study systematically the generic features of all the possibilities, starting with a singlet and two doublets (akin to Bino-Higgsino dark matter) up to a Majorana quintuplet coupled to two Weyl quadruplets. We pay special attention to this last case, since it has not yet been discussed in the literature. We estimate the parameter space for viable dark matter candidates. This includes an estimate for the mass of a quasi-pure quadruplet dark matter candidate taking into account the Sommerfeld effect. We also argue how the coupling to the Higgs can bring the Minimal Dark Matter scenario within the reach of present and future direct detection experiments.
ContentsA Generators of SU (2) and other useful formulas 34 B Cross-sections for two-particle states in SU (2) symmetric limit 35Einasto or Navarro-Frenk-White (NFW) profiles for the dark matter distribution in the Galaxy. This is because of the Sommerfeld effect, which typically enhances the annihilation cross section of MDM candidates at small relative velocities, giving rise to strong gammaray spectral features, see [11][12][13] for the wino case and [14,15] for the quintuplet. 2 Notice that on general grounds, dark matter bound state formation [16][17][18][19][20] could also affect the dark matter annihilation. It has been shown that the latter effect is expected to be relevant for quintuplet dark matter, while it is negligible in the case of the triplet [21,22]. In general, the wino-like dark matter appears now strongly disfavoured by current indirect detection searches [23] while the quintuplet could be tested by very near future HESS-II data release on searches for gamma-ray lines from the 10 years Galactic Center data [24].Because of the advent of these constraints, it may be timely to consider possible variations around the MDM framework, which at the same time may lead to a broader range of possible DM candidates. As mentioned above, a basic assumption of this framework is that there is one and only one electroweak multiplet. This, in particular, precludes Yukawa coupling to the SM Higgs doublet for fermionic candidates. 3 A natural yet simple variation on the MDM framework is to consider simultaneously different multiplets, in particular fermionic representations that differ by isospin ∆I = 1/2, that allows for "integrating the Higgs portal to fermion DM" [26]. A familiar instance is the neutralino of the Minimal Supersymmetric Standard Model (MSSM), which is generically a mixture of bino/higgsino/wino complex. Recently, there have been much studies of DM candidates from mixed (as compared to pure) representations: singlet-doublet (∼ bino-higgsino) [26-33] (see also [34] for the case of a Dirac singlet), doublet-triplet (∼ higgsino-wino) [26,35,36] and triplet-quadruplet [33,37].In the present work, we complete this panorama by adding to this list the case of tw...