The strong CP problem of QCD can be solved via the Peccei-Quinn mechanism. The resulting pseudo-Goldstone boson, the axion is a natural candidate for dark matter. In order to quantitatively understand axion dark matter production two important QCD inputs are required : the equation of state and the topological susceptibility at high temperatures. Recent lattice calculations of these quantities will be presented and they will be used to constrain the axion mass in different axion production scenarios.

Reference : S. Borsanyi et al., "Calculation of the axion mass based on high-temperature lattice quantum chromodynamics’’, Nature 539 (2016) no.7627, 69-71, https://arxiv.org/abs/1606.07494