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Light-cone distribution amplitudes (LCDAs) frequently arise in factorizationtheorems involving light and heavy mesons. The QCD LCDA for heavy mesonsincludes short-distance physics at energy scales of the heavy-quark mass. Inthis paper we achieve the separation of this perturbative scale from the purelyhadronic effects by matching the QCD LCDA to the convolution of a perturbativefunction with the universal, quark-mass independent LCDA defined in heavy-quarkeffective theory. This factorization allows to resum potentially largelogarithms between $\Lambda_{\rm QCD}$ and $m_Q$ as well as between $m_Q$ andthe scale $Q$ of the hard process in the production of boosted heavy mesons atcolliders. As an application we derive new theoretical predictions for thebranching ratio of the decay $W^\pm \to B^\pm \gamma$. Furthermore, we providephenomenological models for the QCD LCDAs of both the $\bar{B}$ and $D$ mesonsexpressed as expansions in Gegenbauer polynomials.

QCD Light-Cone Distribution Amplitudes of Heavy Mesons from boosted HQET