Abstract
We study one-loop radiative neutrino mass models in which one of the beyond-the-standard model fields is either a hypercharge-zero fermion quintet (minimal dark matter) or a hypercharge-zero scalar septet. By systematically classifying all possible one-loop such models we identify various processes that render the neutral component of these representations (dark matter) cosmologically unstable. Thus, our findings show that these scenarios are in general not reconcilable with dark matter stability unless tiny couplings or additional ad hoc symmetries are assumed, in contrast to minimal dark matter models where stability is entirely due to the standard model gauge symmetry. For some variants based on higher-order loops we find that $\alpha_2$ reaches a Landau pole at rather low scales, a couple orders of magnitude from the characteristic scale of the model itself. Thus, we argue that some of these variations although consistent with dark matter stability and phenomenological constraints are hard to reconcile with perturbativity criteria.
Highlights
JHEP06(2016)108 which the SM and the dark sector transform differently, guaranteeing stability
We study one-loop radiative neutrino mass models in which one of the beyondthe-standard model fields is either a hypercharge-zero fermion quintet or a hypercharge-zero scalar septet
Our findings show that these scenarios are in general not reconcilable with dark matter stability unless tiny couplings or additional ad hoc symmetries are assumed, in contrast to minimal dark matter models where stability is entirely due to the standard model gauge symmetry
Summary
Minimal DM models rely on the observation that for higher-order SU(2) representations, R, renormalizable gauge invariant operators of the form. Depending on the spin of the representation, the effective operator in (2.1) is N = 5 (scalar) or N = 6 (fermion), with its full structure determined by the hypercharge of the corresponding state. The point is that the previous analysis rely on tree level effective decay modes, but for 70S one-loop radiative dim = 5 operators can be written through the operator 70S(70S70S)H†HH†H [28] (see discussion below). This argument rules out the 70S as well. Of particular relevance are those coming from γ-ray line searches from the galactic center, for which it has been proven that if the Milky Way possesses a Navarro-Frenk-White or Einasto DM profiles this representation is ruled out too [30, 31].4 It can be consistently considered in the context of cored profiles such as Burket or Isothermal
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