  We study on-shell functions in the kinematic space for the Coulomb branch of
$\mathcal{N}=4$ SYM. We construct BCFW bridges that help us build bigger
on-shell functions. As a consequence, we provide on-shell diagram formulations
for BCFW shifts that correspond to various mass configurations. We will use
this to calculate the quadruple cut for the one-loop amplitude on the Coulomb
branch and maximal cuts for higher-loops. We make preliminary comments on
finding the inequivalent set of on-shell functions for the Coulomb branch.
