  A recently proposed approach to compute the inclusive semi-leptonic decay
rate on the lattice allows for the calculation of various quantities
(differential distributions and moments) in different subchannels. We
systematically compare the lattice QCD results for an unphysically light bottom
quark with OPE-based predictions, including leading order perturbative and
$\mathcal{O}\left(1/m^3 \right)$ power corrections, and explore possible
strategies to decrease the systematic uncertainty.
