Speaker
Description
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 $p$-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.
