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What is commonly called the reheat temperature, Tₑ₇, is not the maximum temperature obtained after inflation. The maximum temperature is, in fact, much larger than Tₑ₇. As an application of this we consider the production of massive stable dark-matter particles of mass Mₗ during reheating, and show that their abundance is suppressed as a power of Tₑ₇/Mₗ rather than exp (-Mₗ/Tₑ₇). We find that particles of mass as large as 210^3 times the reheat temperature may be produced in interesting abundance. In addition to dark matter, our analysis is relevant for baryogenesis if the baryon asymmetry is produced by the baryon (or lepton) number violating decays of superheavy bosons, and also for relic ultra-high energy cosmic rays if decays of superheavy particles are responsible for the highest energy cosmic rays.
Chung et al. (Thu,) studied this question.