  We introduce a new technique to calculate perturbative corrections to
neutron-deuteron ($nd$) scattering that does not require calculation of the
full off-shell scattering amplitude. Its relation to the more familiar
partial-resummation technique is explained. Also included is a calculation of
the SD-mixing term that occurs at next-to-next-to-leading-order (NNLO) in
pionless effective field theory $\mathrm{EFT}_{\not{\pi}}$\xspace. Using the
new technique with the SD-mixing term a complete strictly perturbative
phase-shift analysis of $nd$ scattering is performed up to NNLO including
eigen-phases and mixing angles. This is compared to potential model
calculations and good agreement is found with the eigen-phases and some of the
mixing angles at low energies.
