Bounds on very low reheating scenarios after Planck

We consider the case of very low reheating scenarios ($T_{rm RH}simmathcal{O}({rm MeV})$) with a better calculation of the production of the relic neutrino background (with three-flavor oscillations). At 95% confidence level, a lower bound on the reheating temperature $T_{rm RH}>4.1$ MeV is obtained from Big Bang Nucleosynthesis, while $T_{rm RH}>4.3$ MeV from Planck data for very light ($sum m_i = 0.06$ eV) neutrinos. If neutrino masses are allowed to vary, Planck data yield $T_{rm RH}>4.7$ MeV, the most stringent bound on the reheating temperature to date. Neutrino masses as large as 1 eV are possible for very low reheating temperatures.