2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207510We use the Bodwin-Braaten-Lepage factorization scheme to separate the long- and short-distance factors that contribute to the decay rates of $Υ$, $η_b$ (S-wave) and $χ_b$,$h_b$ (P-wave). The long distance matrix elements are calculated on the lattice in the quenched approximation using a non-relativistic formulation of the $b$ quark dynamics.3 pages Latex using espcrc2.sty and epsf.sty + 2 postscript figuresHigh Energy Physics - Latticetext