The primordial inflation dilutes all matter except the quantum fluctuations
which we see in the cosmic microwave background (CMB) radiation. Therefore the
last phases of inflation must be embedded within a beyond the Standard Model
(SM) sector where the inflaton can directly excite the SM quarks and leptons.
In this paper we consider two inflaton candidates LLe and udd whose decay can
naturally excite all the relevant degrees of freedom besides thermalizing the
lightest supersymmetric particle (LSP) during and after reheating. In
particular, we present the regions of the parameter space which can yield
successful inflation with the right temperature anisotropy in the CMB, the
observed relic density for the neutralino LSP, and the recent Higgs mass
constraints from LHC within the MSSM with non-universal Higgs masses --
referred to as the NUHM2 model. We found that in most scenarios, the LSP seems
strongly mass degenerated with the next to lightest LSP (NLSP) and the
branching ratio B_s -> mu^+ mu^- very close to the present bound, thus leading
to falsifiable predictions. Also the dark matter interactions with XENON nuclei
would fall within the projected range for the XENON1T experiment. In the case
of a positive signal of low scale supersymmetry at the LHC, one would be able
to potentially pin down the inflaton mass by using the associated values for
the mass of the stau, the stop and the neutralino.Comment: 16 pages, 23 figures; v2: typos corrected; v3: version accepted by
PR