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We use an effective-field-theory framework to analyze the Efimov effect inheteronuclear three-body systems consisting of two species of atoms with alarge interspecies scattering length. In the leading-order description of thistheory, various three-body observables in heteronuclear mixtures can beuniversally parameterized by one three-body parameter. We present thenext-to-leading corrections, which include the effects of the finiteinterspecies effective range and the finite intraspecies scattering length, tovarious three-body observables. We show that only one additional three-bodyparameter is required to render the theory predictive at this order. Byincluding the effective range and intraspecies scattering length corrections,we derive a set of universal relations that connect the different Efimovfeatures near the interspecies Feshbach resonance. Furthermore, we show thatthese relations can be interpreted in terms of the running of the three-bodycounterterms that naturally emerge from proper renormalization. Finally, wemake predictions for recombination observables of a number of atomic systemsthat are of experimental interest.

An effective-field-theory analysis of Efimov physics in heteronuclear mixtures of ultracold atomic gases