Speaker
Description
Spectral densities encode key QCD observables, including hadronic decay rates, cross sections, and transport properties of the quark-gluon plasma. Their Laplace transform corresponds to Euclidean correlation functions, which can be accessed non-perturbatively from first-principles lattice QCD. Building on our formalism describing how spectral functions can be reconstructed from integral transforms, in this talk we discuss how the lack of knowledge due to a finite temporal extent of the lattice imposes to introduce incomplete integral transforms and the corresponding incomplete smeared spectral densities. We then show how to rigorously bind the contribution from the unknowns so as to estimate and keep under control the associated systematic error, both for the continuous and discrete scenarios. Finally, we present preliminary numerical results where this strategy is applied on vector correlation function obtained from multi-level simulations.