We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in N=4 super Yang-Mills theory. In particular we conjecture that, given a maximal cut of a loop amplitude, Landau singularities and poles of each Yangian invariant appearing in any representation of the corresponding Leading Singularities can be found together in a cluster. We check these adjacencies for all one-loop amplitudes up to 9 points. Along the way, we also prove that all (rational) N2MHV Yangian invariants are cluster adjacent, confirming original conjectures.
@article{arxiv.2005.07154,
title = {Cluster patterns in Landau and Leading Singularities via the Amplituhedron},
author = {Ömer Gürdoğan and Matteo Parisi},
journal= {arXiv preprint arXiv:2005.07154},
year = {2020}
}