What is the reheating temperature of neutrinos during the BBN?

I want to integrate a differential distribution function of sterile neutrinos and the boundaries are the decoupling and the reheating temperature of neutrinos, but I don’t know what is an acceptable value for a reheating temperature.

In most sources the neutrino’s $T_{text{decoupling}}$ $approx 1 text{MeV}$ (p14 section B ; p24 section 3.3.1 and $1.5 text{MeV}$ in p1 Introduction).

But I keep on finding different values for the reheating temperature:

• Low reheating temperature: $T_{RH} =5 text{MeV and } T_{RH} =10 text{MeV} ; $ p52 Figure 11
• Low reheating temperature: $T_{RH} =5 text{MeV} $ ; p17 section 5.2
• Reheating temperature boundaries: $T_R lt 10^{6-7} text{GeV}$ p36 section 5.5

What are the reasons behind choosing the correct temperature? How do I know which temperature is the correct reheating temperature?

The idea I had from conversations with professors was that it had to be around $T_R = 10^{10} text{GeV}$, but I don’t understand why, as this was simply stated to me.

Based on the following articles:

• Sterile Neutrinos as Dark Matter (1993)
• Sterile Neutrino Hot, Warm, and Cold Dark Matter (2001)