Applying the relativistic quantization condition to a three-particle bound state in a periodic box

Using our recently developed relativistic three-particle quantization condition [Phys. Rev. D 90, 116003 (2014); Phys. Rev. D 92, 114509 (2015)], we study the finite-volume energy shift of a spin-zero three-particle bound state. We reproduce the result obtained using nonrelativistic quantum mechanics by Mei{}ner et al. in [Phys. Rev. Lett. 114, 091602 (2015)] and generalize the result to a moving frame.