Loop-level double-copy for massive quantum particles

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct one-loop integrands for four-point two distinct scalars, five-point process encoding first correction to with gluonic radiation. factorization color-kinematics are sufficient principles entirely bootstrap these calculations, allowing us all contributions ultimately from three-point tree-level which themselves constrained by symmetry. Double-copy construction immediately provides associated predictions scalars so called N=0 supergravity theory.