The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms masses projectives, defined as the modulus their central charges, hearts certain $t$-structures derived categories quiver representations and, equivalently, cluster tilting objects corresponding categories.

We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models algebraic statistics. The potential plays the role of log-likelihood function, and its critical points are solutions rational function equations. study ML degree low-rank tensor statistics, we revisit physical theories proposed by Arkani-Hamed, Cachazo their collaborators. Recent advances nu...