A conformal gauge mediation and dark matter with only one mass parameter

Abstract

If the supersymmetry (SUSY) is a solution to the hierarchy problem, it is puzzling that any SUSY particle has not been discovered yet. We show that there is a low-scale conformal gauge mediation model which contains all necessary ingredients, i.e. not only a SUSY-breaking dynamics and a gauge mediation mechanism, but also a candidate for the dark matter. The model has only one free parameter, that is, the mass for messengers. In this model, the dark matter is provided by a composite particle in the SUSY-breaking sector, and the observed value of the dark matter density uniquely fixes the mass of messengers at the order of 10 2 TeV. Then, the sfermion and gaugino masses are fixed to be of order 10 2 ∼ 10 3 GeV without any arbitrariness, thus the SUSY particles are expected not to be discovered at the Tevatron or LEP, while having a discovery possibility at the LHC.

Higgs boson mass in low scale gauge mediation models

“…We should note, here, that there is an excellent possibility on the DM candidate in strongly coupled low scale gauge mediation models [61,62,63,64,47]. In fact, some …”

“…For explicit models realizing this situation, we have the conformal gauge mediation models discussed in Refs. [43,44,45,46,47] in mind.…”

Cascade supersymmetry breaking and low-scale gauge mediation

“…As discussed in refs. [58][59][60][61], the models where messengers are charged under the strong gauge dynamics of the DSB sector generically suffer from the existence of the unwanted stable composite fields with MSSM quantum numbers. The model of section 4 possesses two global U (1) symmetries (under which F and R fields are charged).…”

“…For example, if B is the lightest composite with the Standard Model quantum numbers, the simplest operator that allows one to avoid direct detection constraints is [61],…”

Cosmologically viable low-energy supersymmetry breaking

“…A non-minimal Higgs sector or strongly coupled messengers may achieve m 3/2 16 eV [17], but it is unclear if the gravitino mass can be pushed below 4.7 eV. These problems can be ameliorated by using the Next-to-Minimal Supersymmetric Standard Model (NMSSM) or Dirac-NMSSM [18], coupling the Higgs to messengers [19], or having a strongly coupled messenger sector [20][21][22][23]. However, these models are quite intricate.…”