Open-charm Euclidean correlators within heavy-meson EFT interactions

TL;DR

This paper computes open-charm Euclidean correlators using a novel thermal spectral function approach based on heavy-meson effective field theory, showing good agreement with lattice QCD at low temperatures and highlighting areas for improvement at higher temperatures.

Contribution

It introduces the first calculation of open-charm Euclidean correlators using a self-consistent unitarized EFT approach incorporating heavy-quark spin symmetry.

Findings

Correlators match lattice QCD results below deconfinement temperature.

Including a continuum of scattering states improves small-time correlator agreement.

Discrepancies at high temperatures suggest missing high-energy states in the spectral functions.

Abstract

The open-charm Euclidean correlators have been computed for the first time using the thermal spectral functions extracted from a finite-temperature self-consistent unitarized approach based on a chiral effective field theory that implements heavy-quark spin symmetry. The inclusion of the full-energy dependent open-charm spectral functions in the calculation of the Euclidean correlators leads to a similar behaviour as the one obtained in lattice QCD for temperatures well below the transition deconfinement temperature. The discrepancies at temperatures close or above the transition deconfinement temperature could indicate that higher-energy states, that are not present in the open-charm spectral functions, become relevant for a quantitative description of the lattice QCD correlators at those temperatures. In fact, we find that the inclusion of a continuum of scattering states improves the comparison at small Euclidean times, whereas differences still arise for large times.