Reheating phase diagram for single-field slow-roll inflationary models

We investigate the influence on the inflationary predictions from the reheating processes characterized by the e-folding number N-reh and the effective equation-of-state parameter wreh during the reheating phase. For the first time, reheating processes can be constrained in the N-reh - w(reh) plane from Planck 2015. We find that for Higgs inflation with a nonminimal coupling to gravity, the predictions are insensitive to the reheating phase for current CMB measurements. We also find that the spontaneously broken SUSY inflation and axion monodromy inflation with phi(2/3) potential, which with instantaneous reheating lie outside or at the edge of the 95% confidence region in the n(s) - r plane from Planck 2015 TT, TE, EE + lowP, can well fit the data with the help of reheating processes. Future CMB experiments would put strong constraints on reheating processes.