80 citations · 254 across the 15 of their papers we have counts for
15 papers
Landau and cluster structures of one-loop amplitudes in SYM in dimensional regularization
Athanasia-Konstantina Angelopoulou, Ruth Britto, Matteo Parisi
Generalized unitarity, Landau analysis, and cluster adjacency encode complementary aspects of scattering amplitudes. We use one-loop planar SYM amplitudes in dimensi…
Interplay between photon condensation and electron-electron interactions in molecular systems
Matteo Parisi, Elisabetta Paladino, Giuseppe A. Falci +4
We investigate a minimal molecular model consisting of square planar plaquettes hosting multiple electrons, whose dynamics is governed by a tight-binding Hamiltonian supplemented b…
Positivity and Cluster Structures in Landau Analysis
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
Landau analysis in momentum twistor space can be formulated as the study of varieties of lines in three-dimensional projective space, together with their projections and discrimina…
Landau Analysis in the Grassmannian
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
Momentum twistors for scattering amplitudes in particle physics are lines in three-space. We develop Landau analysis for Feynman integrals in this setting. The resulting discrimina…
The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers
Matteo Parisi, Melissa Sherman-Bennett, Lauren Williams
The hypersimplex is the image of the positive Grassmannian under the moment map. It is a polytope of dimension in . Meanwhile,…
Triangulations and Canonical Forms of Amplituhedra: a fiber-based approach beyond polytopes
Fatemeh Mohammadi, Leonid Monin, Matteo Parisi
Any totally positive matrix induces a map from the positive Grassmannian to the Grassmannian , whose image is the amplituhe…
Cluster patterns in Landau and Leading Singularities via the Amplituhedron
Ömer Gürdoğan, Matteo Parisi
We advance the exploration of cluster-algebraic patterns in the building blocks of scattering amplitudes in super Yang-Mills theory. In particular we conjecture tha…
Positive Geometries and Differential Forms with Non-Logarithmic Singularities I
Paolo Benincasa, Matteo Parisi
Positive geometries encode the physics of scattering amplitudes in flat space-time and the wavefunction of the universe in cosmology for a large class of models. Their unique canon…
The positive tropical Grassmannian, the hypersimplex, and the m=2 amplituhedron
Tomasz Lukowski, Matteo Parisi, Lauren K. Williams
The study of the moment map from the Grassmannian to the hypersimplex, and the relation between torus orbits and matroid polytopes, dates back to the foundational 1987 work of Gelf…
Cluster Adjacency for m=2 Yangian Invariants
Tomasz Lukowski, Matteo Parisi, Marcus Spradlin +1
We classify the rational Yangian invariants of the toy model of Yang-Mills theory in terms of generalised triangles inside the amplituhedron $\mathcal{A}_{n,k…
The Momentum Amplituhedron
David Damgaard, Livia Ferro, Tomasz Lukowski +1
In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in super Yan…
Amplituhedron meets Jeffrey-Kirwan Residue
Livia Ferro, Tomasz Lukowski, Matteo Parisi
The tree amplituhedra are mathematical objects generalising the notion of polytopes into the Grassmannian. Proposed for as a geometric construction…
Tree-level scattering amplitudes from the amplituhedron
Livia Ferro, Tomasz Lukowski, Andrea Orta +1
A central problem in quantum field theory is the computation of scattering amplitudes. However, traditional methods are impractical to calculate high order phenomenologically relev…
Yangian Symmetry for the Tree Amplituhedron
Livia Ferro, Tomasz Lukowski, Andrea Orta +1
Tree-level scattering amplitudes in planar N=4 super Yang-Mills are known to be Yangian-invariant. It has been shown that integrability allows to obtain a general, explicit method…
Towards the Amplituhedron Volume
Livia Ferro, Tomasz Lukowski, Andrea Orta +1
It has been recently conjectured that scattering amplitudes in planar N=4 super Yang-Mills are given by the volume of the (dual) amplituhedron. In this paper we show some interesti…