  We present 2+1 flavor Lattice QCD calculations of the nucleon scalar and
tensor charges. Using the BMW clover-improved Wilson action with pion masses
between 150 and 350 MeV and three source-sink separations between 0.9 and 1.4
fm, we achieve good control over excited-state contamination and extrapolation
to the physical pion mass. As a consistency check, we also present results from
calculations using unitary domain wall fermions with pion masses between 300
and 400 MeV, and using domain wall valence quarks and staggered sea quarks with
pion masses between 300 and 600 MeV.
