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Hard Probes are an essential tool to discover the properties of thequark-gluon plasma created in heavy-ion collisions. The study of hard probesalways involves taking into account very different energy scales, and this isprecisely the situation in which Effective Fields Theories (EFTs) are useful.EFTs can be used to separate the short-distance and perturbative physics fromthe long-distance and non-perturbative. This method combined with Lattice QCDevaluations of the long-distance effects can provide accurate and firstprinciples results. In this proceeding, I will report recent advances in thisdirection. Results from an EFT computation of quarkonium $R_{AA}$ at$\sqrt{s_{NN}}=5.02\,\textit{TeV}$ are shown for the first time here.

Effective Field Theory and Lattice QCD approaches for hard probes in QCD matter