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In the simplest picture, the masses of string axions populating the axiversedepend on two parameters: the supersymmetry breaking scale $M_{\rm susy}$ andthe action $S$ of the string instantons responsible for breaking the axionshift symmetry. In this work, we explore whether cosmological data can be usedto probe these two parameters. Adopting string-inspired flat priors on$\log_{10}M_{\rm susy}$ and $S$, and imposing that $M_{\rm susy}$ besub-Planckian, we find $S=198\pm28$. These bounds suggest that cosmologicaldata complemented with string-inspired priors select a quite narrow axion massrange within the axiverse, $\log_{10}(m_a/{\rm eV}) = -21.5^{+1.3}_{-2.3}$. Wefind that $M_{\rm susy}$ remains unconstrained due to a fundamental parameterdegeneracy with $S$. We explore the significant impact of other choices ofpriors on the results, and we comment on similar findings in recent previousliterature.

Cosmological window onto the string axiverse and the supersymmetry breaking scale