  In this paper, we define the ABJM loop momentum amplituhedron, which is a
geometry encoding ABJM planar tree-level amplitudes and loop integrands in the
three-dimensional spinor helicity space. Translating it to the space of dual
momenta produces a remarkably simple geometry given by configurations of
space-like separated off-shell momenta living inside a curvy polytope defined
by momenta of scattered particles. We conjecture that the canonical
differential form on this space gives amplitude integrands, and we provide a
new formula for all one-loop $n$-particle integrands in the positive branch.
For higher loop orders, we utilize the causal structure of configurations of
points in Minkowski space to explain the singularity structure for known
results at two loops.
