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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]: 

By solving the above equations, one finds: 

where the subscript 0 denotes the values of parameters at the high scale µ$_{0}$ . 

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