Reheating constraints on modified single-field Natural Inflation models

Understand

In this paper, we discuss three modified single-field natural inflation models in detail, including Special generalized Natural Inflation model(SNI), Extended Natural Inflation model(ENI) and Natural Inflation inspired model(NII).

• We derive the analytical expression of the tensor-to-scalar ratio $r$ and the spectral index $n_s$ for those models.
• Then the reheating temperature $T_{re}$ and reheating duration $N_{re}$ are analytically derived.
• Moreover, considering the CMB constraints, the feasible space of the SNI model in $(n_s, r)$ plane is almost covered by that of the NII, which means the NII is more general than the SNI.