$\pi N$ scattering in the $\Delta(1232)$ region

We develop a chiral effective field theory based on the rest-frame heavy-baryon formalism to describe $\pi N$ scattering in the $\Delta$(1232) resonance region. The phase shift in the $P_{33}$ elastic channel is calculated up to next-to-next-to-leading order. A comparison is made with phenomenological phase-shift analyses.