Predictivity of many non-thermal dark matter (DM) models is marred by the
gravitational production background. This problem is ameliorated in models with
lower reheating temperature TRβ, which allows for dilution of gravitationally
produced relics. We study the freeze-in dark matter production mechanism in the
thermal bath with the electroweak scale temperature. The process is
Boltzmann-suppressed if the dark matter mass is above TRβ. In this case, the
coupling to the thermal bath has to be significant to account for the observed
dark matter relic density. As a result, the direct DM detection experiments
already probe such freeze-in models, excluding significant parts of parameter
space. The forthcoming experiments will explore this framework further,
extending to lower couplings and higher reheating temperatures.Comment: 10 page