Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China
; Peking Univ, Dept Phys, Beijing 100871, Peoples R China
The details of reheating energy scale rho(reh) is largely uncertain today, independent of inflation models. This would induce uncertainty in predicting primordial spectrum. Such uncertainty could be very large, especially for spectra with large running n(S). We find that for some inflation models with a large dn(S) (k)/d ln k, rho(reh) could be highly restricted by current CMB observations.