Precision calculations in non-perturbative QCD (II): Effective Field Theories and Lattice QCD (LQCD)

EFT techniques complement very efficiently LQCD simulations, allowing to better control the needed extrapolations to physical kinematics and covering regions of parameter space not yet reachable in the lattice. Concerning systems made of two heavy quarks (generically called quarkonia) their study has witnessed an enormous theoretical progress due to the use of EFTs (non-relativistic QCD, NRQCD, potential NRQCD, pNRQCD, Born-Oppenheimer EFT, BOEFT, ...) combined with significant advancements in LQCD calculations of hadronic observables allowing precision spectroscopy of exotic and excited states and the treatment of states above thresholds in coupled-channel scattering analyses. Heavy quarkonia provide also a clear signature in heavy-ion experiments and their suppressed production is a hard-probe of the medium formed therein (e.g..bottomonium suppression has been already observed in heavy-ion collisions at the LHC). Further progress will crucially depend on accurate LQCD determinations of the relevant low-energy matrix elements.

Task 2 is divided into the following sub-tasks:

• T2.1 - Hadron resonances, form factors, LECs, fundamental parameters of QCD and light nuclei spectroscopy
• T2.2 - Computation of heavy-quark, hybrid and tetraquark potentials
• T2.3 - Computation of matrix elements for in medium quarkonium evolution