Abstract

We discuss recent results on the excitation spectra of B and D-mesons obtained in the framework of non-relativistic lattice QCD in the quenched approximation. The results allow for the determination of the MS -mass of m b, MS ( m b, MS ) = 4.34(7) GeV in O (α 3 s ) in the perturbative matching. The determination of the decay constants f B s and f D s , is discussed in detail. Results for the matrix elements of semi-leptonic B to D decays are shown.

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