  We study the three-body systems of ${}^{3}\mathrm{He}$ and $pd$ scattering
and demonstrate, both analytically and numerically, that a new $pd$ three-body
force is needed at next-to-leading order in pionless effective field theory. We
also show that at leading order these observables require no new three-body
force beyond what is necessary to describe $nd$ scattering. We include
electromagnetic effects by iterating only diagrams that involve a single photon
exchange in the three-body sector.
