QCD Calculation of $B$ Meson Form Factors and Exclusive Nonleptonic Decays

The method of QCD sum rules has proven to be particularly useful in heavy quark physics, where a small distance scale is provided by the inverse heavy quark mass. We present two new examples for the application of this method to B-physics: a calculation of the heavy-to-light form factors $B \rightarrow \pi,K$ and an estimate of the weak decay amplitude for $B \rightarrow J/\psi K $ beyond the factorization approximation.