Constraints on K\"ahler moduli inflation from reheating

Understand

We present predictions of the K\"ahler moduli inflation model for the spectral tilt by parametrising the reheating epoch by an effective equation-of-state parameter and the number of e-foldings of reheating; and taking into account the post-inflationary history of the model.

• This model has an epoch in which the energy density of the universe is dominated by cold moduli particles.
• We compare our results with data from the PLANCK mission and find that exotic reheating (with effective equation of state $w_{\rm re}$ greater than 1/3) is required to match the observations.
• For canonical reheating case with $w_{\rm re} = 0$, we deduce $\text{log}_{10}(T_{\rm re}/10^3~ \text{GeV}) \simeq 1190 (n_s - 0.956)$.