sneutrino ˜ N is a singlet under the SM gauge group, its mass receives the smallest contribution from quantum corrections due to SM gauge interactions, and hence it can be set to be the lightest SUSY particle (LSP). Therefore the dark matter candidate arises from the RH sneutrino component of the inflaton, see Eq. (334). The potential along the flat direction, after the minimization along the angular direction, is found to be [88, 716], The flat direction mass m$_{φ}$ is given in terms of ˜ N, H$_{u}$, ˜ L masses: m 2 φ = m 2 ˜ $_{N}$+ m 2 H $_{u}$+ m 2 ˜ L 3 . For A ≈ 4 m$_{φ}$ , there exists an inflection point for which V ′ ( φ$_{0}$ ) = 0 , V ′′ ( φ$_{0}$ ) = 0, where inflation takes place Here m$_{ν}$ denotes the neutrino mass which is given by m$_{ν}$ = h 〈 H$_{u}$ 〉 , with 〈 H$_{u}$ 〉 ≃ 174 GeV. For neutrino masses with a hierarchical pattern, the largest neutrino mass is m$_{ν}$ ≃ 0 . 05 eV in order to explain the atmospheric neutrino oscillations [717], while the current upper bound on the sum of the neutrino masses from cosmology, using WMAP and SDSS data alone, is 0 . 94 eV [718]. Here m$_{φ}$ denotes the loop-corrected value of the inflaton mass at the scale φ$_{0}$ in Eqs. (336,337). In Fig. (10), we have shown the neutrino mass as a function of the in- flaton mass for δ$_{H}$ = 1 . 91 × 10 − $^{5}$. We see that the neutrino mass in the range 0 to 0 . 30 eV corresponds to the inflaton mass of 0 to 30 GeV. The spectral tilt as usual has a range of values 0 . 90 ≤ n$_{s}$ ≤ 1 . 0 [88, 716]. The amplitude of density perturbations follows [88, 716]. 6. Inflection point inflation in gauge mediation In GMSB the two-loop correction to the flat direction potential results in a logarithmic term above the messenger scale, i.e. φ > M$_{S}$ [36, 91, 92, 719]. Together with the A -term 153 V ( | φ | ) = m 2 φ 2 | φ | 2 + h 2 12 | φ | 4 − Ah $_{6}$√$_{3}$ | φ | $^{3}$. (335) φ$_{0}$ = √$_{3}$ m$_{φ}$ h = 6 × 10 12 m$_{φ}$ ( 0 . 05 eV m$_{ν}$ ) , V ( φ$_{0}$ ) = m 4 φ 4 h 2 = 3 × 10 24 m 4 φ ( 0 . 05 eV m$_{ν}$ ) $^{2}$. (336) δ$_{H}$ ≃ 1 5 π H 2 inf ˙ φ ≃ 3 . 5 × $_{10}$− 27 ( m$_{ν}$ 0 . 05 eV ) 2 ( M$_{P}$ m$_{φ}$ ) N 2 $_{Q}$. (337)