To test the Standard Model of particle physics and to search for new phenomena beyond that theory, various processes are studied that are mediated through electroweak transitions of quarks. A large number of such flavour-changing processes can only be observed in a form of exclusive decays of hadrons. A complete description of these decays is not possible without knowledge of their hadronic matrix elements. Calculating these matrix elements on the basis of Quantum Chromodynamics (QCD) poses an ongoing challenge. Light-cone distribution amplitudes (LCDAs) are a central and universal set of inputs used to describe the long-distance components of hadronic matrix elements in QCD. The recent years were marked by a significant progress in developing the theory of LCDAs. Their characteristics are currently being computed from the first principles using lattice QCD simulations. Furthermore, knowledge of LCDAs is needed when calculating observables of multi-hadron matrix elements in frameworks based on various QCD-based factorization methods. We propose to organize a dedicated scientific program that will bring together the experts from different subfields of QCD and flavour physics to exchange new results and to generate collaborative efforts concerning the theory, phenomenology and applications of LCDAs.
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