We demonstrate that a broad class of modular inflation models predicts the emergence of new physics within an energy range of approximately \( 10^{ 15} \, \mathrm{ GeV} \) to \( 10^{ 17} \, \mathrm{ GeV} \). This prediction arises by comparing the moduli-dependent species scale with observational constraints on inflation. Specifically, we illustrate this within the context of \( SL(2, \mathbb{ Z}) \)-modular inflation models by re-expressing inflationary observables in terms of the species scale. We further discuss the implications of this approach for generic Calabi-Yau threefolds.
Categories: hep-th astro-ph.CO gr-qc hep-ph