  This work implements pionless effective field theory with the two-nucleon
system expanded around the unitarity limit at second order perturbation theory.
The expansion is found to converge well. All Coulomb effects are treated in
perturbation theory, including two-photon contributions at
next-to-next-to-leading order. After fixing a three-nucleon force to the 3He
binding energy at this order, proton-deuteron scattering in the doublet S-wave
channel is calculated for moderate center-of-mass momenta.
