  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.
