  Using overlap as well as Wilson fermions, we have computed the one-loop
renormalization factors of ten non-singlet operators which measure the third
moment of quark momentum and helicity distributions (the lowest two having been
computed in a previous paper), as well as the lowest three moments of the $g_2$
structure function and the lowest two non-trivial moments of the $h_1$
transversity structure function (plus the tensor charge). These factors are
needed to extract physical observables from Monte Carlo simulations of the
corresponding matrix elements.
  An exact chiral symmetry is maintained in our calculations with overlap
fermions, and its most important consequence here is that the operators
measuring $g_2$ do not show any of the power-divergent mixings with operators
of lower dimension which are present in the Wilson case. Many of our results
for Wilson fermions are also new; for the remaining ones, we agree with the
literature except in one case. The computations have been carried out using the
symbolic language FORM, in a general covariant gauge, which turns out also to
be useful in checking the gauge-invariance of the final results.
