6 papers · 1 filter
Positive Singularities and Volumes in Scattering Amplitudes
Elia Mazzucchelli
Recent advances have revealed that scattering amplitudes in certain quantum field theories admit a geometric formulation in terms of positive geometries. In this framework, amplitu…
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…
Canonical Forms as Dual Volumes
Elia Mazzucchelli, Prashanth Raman
We study dual volume representations of canonical forms for positive geometries in projective spaces, expressing their rational canonical functions as Laplace transforms of measure…
Geometric Landau Analysis and Symbol Bootstrap
Dmitry Chicherin, Johannes Henn, Elia Mazzucchelli +3
We investigate how the positive geometry framework for loop integrands in super Yang-Mills theory constrains the structure of the integrated answers. This is done…
All-loop Leading Singularities of Wilson Loops
Taro V. Brown, Johannes M. Henn, Elia Mazzucchelli +1
We study correlators of null, -sided polygonal Wilson loops with a Lagrangian insertion in the planar limit of the supersymmetric Yang-Mills theory. This finite obs…
The two-loop Amplituhedron
Gabriele Dian, Elia Mazzucchelli, Felix Tellander
The loop-Amplituhedron is a semialgebraic set in the product of Grassmannians . Recently, many aspects of this geometry for…