We use the Bodwin-Braaten-Lepage factorization scheme to separate the
long- and short-distance factors that contribute to the decay rates of
Upsilon, eta(b) (S-wave) and (chi b),h(b) (P-wave). The long distance
matrix elements are calculated on the lattice in the quenched approxi
mation using a non-relativistic formulation of the b quark dynamics.