  We study the minimal extension of the SM by a scalar with quartic interaction
serving as an inflaton. For the model where scale symmetry is broken only in
the inflaton sector, the mass of the inflaton is constrained to be relatively
low. Here, we analysed the previously omitted situation of the inflaton masses
$m_{\chi}\gtrsim 250\text{ GeV}$. Therefore, we provide a window of inflaton
masses with viable inflationary properties that evade direct observational
constraints, due to their small mixing with the Higgs sector. The addition of
heavy neutral leptons with Majorana masses induced by the interaction with the
inflaton allow for Cold Dark Matter in the model with masses $O(1-10)\text{
MeV}$.
