  Moduli potential loses its minima due to external energy sources of inflaton
energy density or radiation produced at the end of inflation. But, the
non-existence of minima does not necessarily mean destabilization of moduli. In
fact, the destabilization of moduli is always dependent on the initial field
values of the fields. In this work, we study carefully how the effects of
reheating ease the problem of moduli destabilization. The associated time scale
to produce the thermal bath allows a larger initial field range to stabilize
the field. Contrary to the usual notion, the allowed initial field range is
larger for higher temperatures when the effective potential is of a run-away
nature. This eases the moduli destabilization problem for heavy mass moduli.
For low mass moduli ($\lesssim$ 30 TeV), the allowed field range still causes
the cosmological moduli problem by violating the BBN constraints unless its
initial abundance is suppressed.

High Energy Physics - Phenomenology;Cosmology and Nongalactic Astrophysics;General Relativity and Quantum Cosmology;High Energy Physics - Theory