Integrated negative geometries in ABJM

We study, in the context of three-dimensional ${\cal N}=6$ Chern-Simons-matter (ABJM) theory, infrared-finite functions that result from performing $L-1$ loop integrations over $L$-loop integrand logarithm four-particle scattering amplitude. Our starting point are integrands obtained recently proposed all-loop projected amplituhedron for ABJM theory. Organizing them terms negative geometries ensures no divergences occur upon integration if at least one variable is left unintegrated. explicitly perform up to $L=3$, finding both parity-even and -odd terms. Moreover, we discuss a prescription compute cusp anomalous dimension $\Gamma_{\rm cusp}$ integrated geometries, use it reproduce first non-trivial order cusp}$. Finally, show leading singularities characterize results conformally invariant.