direction VEV as 〈 ϕ 〉 ∝ H 3 / $^{4}$, which is a faster rate than the change in the temper- ature T ∝ H 1 / $^{2}$. Once g 〈 ϕ 〉 ≃ T , gluon/gluino fields come into equilibrium with the thermal bath. When this happens the final reheat temperature is generically small, i.e. T$_{R}$ ≤ 10 7 GeV [89, 122]. See Secs. VI D 4, VI D 5, and VI E. In this section we explore the available parameter space for inflation in conjunction with a thermal cold dark matter abundance within the minimal SUGRA model. Remarkably for the inflaton, which is a combination of squarks and sleptons, there is a stau-neutralino coannihilation region below the inflaton mass 500 GeV for the observed density perturbations and the tilt of the spectrum. For such a low mass of the inflaton the LHC is capable of discovering the inflaton candidates within a short period of its operation. Inflation is also compatible with the focus point region which opens up for the inflaton masses above TeV. Since m$_{φ}$ is related to the scalar masses, sleptons ( LLe direction) and squarks ( udd direction), the bound on m$_{φ}$ will be translated into the bounds on these scalar masses which are expressed in terms of the model parameters [89]. Note that CMB constraints m$_{φ}$ at φ$_{0}$ ∼ 10 14 GeV which is two orders of magnitude below the GUT scale. From this m$_{φ}$ , m$_{0}$ and m$_{1}$$_{/}$$_{2}$ are determined at the GUT scale by solving the RGEs for fixed values of A$_{0}$ and tan β . The RGEs for m$_{φ}$ are 1. Benchmark points for MSSM inflation and dark matter abundance M$_{1}$, M$_{2}$ and M$_{3}$ are U (1) , SU (2) and SU (3) gaugino masses respectively. After determine m$_{0}$ and m$_{1}$$_{/}$$_{2}$ from m$_{φ}$ , one can determine the allowed values of m$_{φ}$ from the experimental bounds on the mSUGRA parameters space [729–732]. The models of mSUGRA depend only on four parameters and one sign. These are m$_{0}$ (the universal scalar soft breaking mass at the GUT scale M$_{G}$ ); m$_{1}$$_{/}$$_{2}$ (the universal gaugino soft breaking mass at M$_{G}$ ); A$_{0}$ (the universal trilinear soft breaking mass at M$_{G}$ ); tan β = 〈 H$_{u}$ 〉〈 H$_{d}$ 〉 at the electroweak scale (where H$_{u}$ gives rise to u quark masses and H$_{d}$ to d quark and lepton masses); and the sign of µ , the Higgs mixing parameter in the superpotential ( W$_{µ}$ = µH$_{u}$H$_{d}$ ). µ dm 2 φ dµ = − 1 6 π $_{2}$( 3 2 M 2 $_{2}$g 2 + 9 10 M 2 $_{1}$g 2 $_{1}$) , (for LLe) µ dm 2 φ dµ = − 1 6 π $_{2}$(4 M 2 $_{3}$g 2 3 + 2 5 M 2 $_{1}$g 2 $_{1}$) , (for udd) . (356) 162