Reheating constraints to modulus mass for single field inflationary
  models
  We consider string and supergravity motivated scenarios in which moduli
fields dominate the energy density of the Universe in a post-inflationary
epoch. For the case of a single light modulus it has been shown that
considering the evolution of a specific scale from the time of its Hubble
crossing during inflation to the present time, a relation can be obtained among
the lightest modulus mass, the reheating parameters ($T_{\text{reh}}$,
$\bar{w}_{\text{reh}}$ and $N_{\text{reh}}$) and the inflationary observables.
By paying closer attention to the role of the $\bar{w}_{\text{reh}}$, we obtain
more stringent constraints on the value of the modulus mass and the reheating
parameters using the CMB data. Next, the analysis is extended to include
features in the inflaton potential as a source of CMB low multipole anomalies,
which further constrains the mass of the modulus to be substantially higher
than without such a constraint. By both considerations and for several
inflation models considered, we find a constraint on the mass of the lightest
modulus particle, $m_{\chi}$, generically $\gtrsim10^{15}$GeV, with possible
low values $\sim10^{12}$GeV. While a simplification of the reheating phase is
assumed, the bounds are reliably suggestive, and the study may be taken as a
demonstration that substantial knowledge about reheating phase buried deep in
the early epochs of the Universe is accessible through the use of CMB
observables today.
