3 5 7 9 11 13 15 0.8 1 1.2 1.4 1.6 1.8 2 log$_{10}$( ) m 2  / m 2 $_{(}$φ 0 ) FIG. 11: The running of m 2 φ for the LLe inflaton when the saddle point is at φ$_{0}$ = 2 . 6 × 10 $^{14}$GeV (corresponding to n = 6, m$_{φ}$ = 1 TeV and λ = 1). The three curves correspond to different values of the ratio of gaugino mass to flat direction mass at the GUT scale: ξ = 2 (dashed), ξ = 1 (solid) and ξ = 0 . 5 (dash-dot) [89]. Here ˜ m$_{1}$ , ˜ m$_{2}$ denote the mass of the U (1)$_{Y}$ and SU (2)$_{W}$ gauginos respectively and g$_{1}$, g$_{2}$ are the associated gauge couplings. The running of gauge couplings and gaugino masses obey the usual equations [31, 32, 89]: µ dg$_{1}$ dµ = 11 16 π $_{2}$g 3 1 , µ dg$_{2}$ dµ = 1 16 π $_{2}$g 3 2 , d dµ ( ˜ m$_{1}$ g 2 1 ) = d dµ ( ˜ m$_{2}$ g 2 ) = 0 . (346) K$_{1}$ ≈ − 1 4 π 2 [( ˜ m$_{2}$ m$_{φ}$$_{0}$ ) 2 g 2 + ( ˜ m$_{1}$ m$_{φ}$$_{0}$ ) 2 g 2 1 ] , K$_{2}$ ≈ − 3 4 π 2 ˜ m$_{2}$ A$_{0}$ g 2 + ( ˜ m$_{1}$ A$_{0}$ ) g 2 1 ] , K$_{3}$ ≈ − 3 8 π $_{2}$λ$_{0}$ [ g 2 + g 2 1 ] , (347) By solving the above equations, one finds: where the subscript 0 denotes the values of parameters at the high scale µ$_{0}$ . 156