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The QCD topological observables are essential inputs to obtain theoreticalpredictions about axion phenomenology, which are of utmost importance forcurrent and future experimental searches for this particle. Among them, wefocus on the topological susceptibility, related to the axion mass. We presentlattice results for the topological susceptibility in QCD at high temperaturesobtained by discretizing this observable via spectral projectors on eigenmodesof the staggered Dirac operator, and we compare them with those obtained withthe standard gluonic definition. The adoption of the spectral discretization ismotivated by the large lattice artifacts affecting the standard gluonicsusceptibility, related to the choice of non-chiral fermions in the latticeaction.

The QCD topological susceptibility at high temperatures via staggered fermions spectral projectors