Following [ 10 ] , we explore the parameter space of the case when the supersymmetry ( SUSY ) breaking scale is lower , for example , in gauge mediated SUSY breaking model .
During inflation , the form of the potential is V _ { 0 } plus MSSM MSSM stands for Minimal Supersymmetric Standard Model ( or A-term It is called A-term inflation when the inflaton field is any direction ( gauge or singlet ) that generates an A-term . ) inflation .
We show that the model works for a wide range of the potential V _ { 0 } with the soft SUSY breaking mass m \sim O ( 1 ) TeV .
The implication to MSSM ( or A-term ) inflation is that the flat directions which is lifted by the non-renormalizable terms described by the superpotential W = \lambda _ { p } \phi ^ { p - 1 } / M ^ { p - 3 } _ { P } with p = 4 and p = 5 are also suitable to be an inflaton field for \lambda _ { p } = O ( 1 ) provided there is an additional false vacuum term V _ { 0 } with appropriate magnitude .
The flat directions corresponds to p = 6 also works for 0 ^ { < } _ { \sim } V _ { 0 } / M _ { P } ^ { 4 } { } ^ { < } _ { \sim } 10 ^ { -40 } .