Scattering Amplitude Reconstruction in Python

Scattering amplitudes encode the chances of different outcomes when particles collide. Calculating them to the precision required by current and future colliders is extremely challenging: the intermediate steps explode in size and become unwieldy even for modern computers. Yet the final answers often turn out to be surprisingly simple and efficient to use, if only they can be uncovered. In this talk I will present a suite of Python libraries designed to achieve precisely this. These include pyadic, which provides -adic numbers, finite fields, and interpolation algorithms; syngular, an object-oriented extension and interface to the algebraic-geometry software Singular; and lips (Lorentz-invariant phase space), which generates and manipulates phase-space points across number fields. Together, these packages provide the building blocks for antares, a framework under development for the automated reconstruction of amplitudes from numerical evaluations. Speaker: Giuseppe De Laurentis (University of Edinburgh)