Hamiltonian effective field theory in elongated or moving finite volume

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are a periodic cube or have nonzero total momentum, respectively. also consider the combination of systems when directions elongation momentum aligned. This extension should be applicable any formalism. As demonstration, we analyze lattice QCD results for spectrum an isospin-2 $\pi\pi$ scattering system determine $s$, $d$, $g$ information. The inclusion simulation from frames significantly improves uncertainty