The frustrated rare-earth pyrochlore Yb 2 Ti 2 O 7 is remarkable among magnetic materials: despite a ferromagnetically ordered ground state it exhibits a broad, nearly gapless, continuum of excitations. This broad continuum connects smoothly to the sharp one-magnon excitations expected, and indeed observed, at high magnetic fields, raising the question: how does this picture of sharp magnons break down as the field is lowered? In this paper, we consider the effects of magnon interactions in Yb 2 Ti 2 O 7 , showing that their inclusion greatly extends the reach of spin-wave theory. First, we show that magnon interactions shift the phase boundary between the (splayed) ferromagnet (SFM) and the antiferromagnetic Γ 5 phase so that Yb 2 Ti 2 O 7 lies very close to it. Next, we show how the high-field limit connects to lower fields; this includes corrections to the critical fields for the [111] and [110] directions, bringing them closer to the observed experimental values, as well as accounting for the departures from linear spin wave theory that appear in [001] applied fields below 3 T [Thompson et al., Phys. Rev. Lett. 119, 057203 (2017)]. Turning to low-fields, though the extent of the experimentally observed broadening is not quite reproduced, we find a rough correspondence between non-linear spin-wave theory and inelastic neutron scattering data on both a single-crystal sample, as well as on a powder sample [Peçanha-Antonio et al., Phys. Rev. B, 96, 214415 (2017)]. We conclude with an outlook on implications for future experimental and theoretical work on Yb 2 Ti 2 O 7 and related materials, highlighting the importance of proximity to the splayed ferromagnet-Γ 5 phase boundary and its potential role in intrinsic or extrinsic explanations of the low-field physics of Yb 2 Ti 2 O 7 .where ω = e 2πi/3 and the local axes, (x r ,ŷ r ,ẑ r ), follow the convention of Savary et al.[69] (see App. A).We primarily consider the parameters obtained in J zz = +0.026 meV, J ± = +0.074 meV, J ±± = +0.048 meV, J z± = −0.159 meV,