Cosmological window onto the string axiverse and the supersymmetry breaking scale

Abstract

In the simplest picture, the masses of string axions populating the axiverse depend on two parameters: the supersymmetry breaking scale $M_{\mathrm{susy}}$ and the action $S$ of the string instantons responsible for breaking the axion shift symmetry. In this work, we explore whether cosmological data can be used to probe these two parameters. Adopting string-inspired flat priors on ${\log }_{10}{M}_{\mathrm{susy}}$ and $S$, and imposing that $M_{\mathrm{susy}}$ be sub-Planckian, we find $S=198\pm 28$. These bounds suggest that cosmological data complemented with string-inspired priors select a quite narrow axion mass range within the axiverse, ${\log }_{10}(m_a/\mathrm{eV})=-21.5_{-2.3}^{+1.3}$. We find that $M_{\mathrm{susy}}$ remains unconstrained due to a fundamental parameter degeneracy with $S$. We explore the significant impact of other choices of priors on the results, and we comment on similar findings in recent previous literature.

13 pages, 4 figures. Abstract shortened, title slightly shortened, accepted for publication in PRD

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