Abstract
Abstract We investigate gravitino dark matter produced thermally at high temperatures and in decays of a long-lived sneutrino. We consider the Non-Universal Higgs Model and a generalized gauge mediation model, and in each case identify sneutrino LOSP regions of the parameter space consistent with the mass of the Higgs-like boson observed at the LHC. We apply relevant collider and cosmological bounds, including constraints from Big Bang Nucleosynthesis and from warm dark matter on large scale structures. Generally, we find allowed values of the reheating temperature T R below 109 GeV, i.e. somewhat smaller than the values needed for thermal leptogenesis, even with a conservative lower bound of 122 GeV on the Higgs mass. Requiring mass values closer to 126 GeV implies T R below 107 GeV and the gravitino mass less than 10 GeV.
Highlights
Abundance of such thermally produced EWIMP is proportional to the reheating temperature TR
We have shown that if the scale at which supersymmetry is broken is close to the unification scale, the sneutrino can be the lightest ordinary supersymmetric particles (LOSP) either if gauginos are non-universal or D2 < 0 at the high scale
We have performed a detailed study of representative examples of these two possibilities: one arising in the Non-Universal Higgs Model (NUHM) and the other in models of generalized gauge mediation of supersymmetry breaking
Summary
The τ -sneutrino, ντ , is the lightest of the sneutrinos due to the τ -Yukawa coupling driving its mass slightly below the sneutrinos of the other two generations, and on we will refer to it as the sneutrino. Leading corrections arising due to the τ Yukawa couplings are denoted by δE2 ,yτ and δL2 ,yτ ; for small and moderate values of tan β they are small and their only role is to make the third generation of sleptons slightly lighter than the first two, but they can become important if the mass parameters m2Hd at the high scale or the coefficient Aτ in the trilinear coupling of staus are much larger than m2L and m2E. The second option is to relax the gaugino mass universality This possibility is naturally realized in GGM models, leading to the sneutrino LOSP and we shall later present some representative examples of mass spectra arising in such models, as well.
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