Fully Perturbative Calculation of $nd$ Scattering to Next-to-next-to-leading-order

Understand

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.