Abstract
We analyze how corrections linear in the effective range, r0, affect quantities in the three-body sector within an effective field theory for short-range interactions. We demonstrate that observables can be obtained straightforwardly using a perturbative expansion in powers of r0. In particular, we show that two linear-in-r0 counterterms are needed for renormalization at this order if scattering-length-dependent observables are considered. We exemplify the implications of this result using various three-body observables. Analytical results for the running of the next-to-leading-order portion of the three-body force in this effective field theory are provided. Expressions which incorporate O(r0) corrections and relate the positions of features observed in three-atom recombination near a Feshbach resonance are presented.
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