B semileptonic moments at NNLO

The calculation of the moments in inclusive B meson semileptonic decays is upgraded to O(α s 2). The first three moments of the lepton energy and invariant hadronic mass distributions are computed for arbitrary cuts on the lepton energy and in various renormalization schemes, finding in general small deviations from the O(α s 2 β 0) calculation. I also review the relation between MS and kinetic heavy quark masses.