Lattice QCD effort on charmed hadrons at super tau-charm facility

The Super Tau-Charm Facility (STCF) is a future collider dedicated to the precision study of tau-charm region. It plays a crucial role in probing the nonperturbative effects of Quantum Chromodynamics (QCD), testing the Cabibbo–Kobayashi–Maskawa (CKM) matrix and searching for new physics beyond the Standard Model. As a first-principles method for nonperturbatively solving QCD, Lattice QCD provides a reliable theoretical foundation for interpreting and guiding experimental results from the STCF. This paper summarizes recent progress in Lattice QCD research relevant to the STCF, focusing on two main research directions of charmed mesons and charmed baryons. We compile and analyze key results from recent literature, including decay constants, form factors and mixing effects. We discuss current theoretical uncertainties and challenges, and look forward to the potential synergistic effects between Lattice QCD calculations and future experiments at the STCF.