Scattering amplitudes are the building blocks that allow us to compute predictions for high-energy experiments like the Large Hadron Collider (LHC) at CERN. Despite their importance, the computation of scattering amplitudes is a very complex task. As the number of particles and/or the precision of the prediction increases, one faces an exponential growth in complexity and computations quickly become intractable. At the same time, the mathematical theory of the functions describing generic scattering amplitudes needed for high precision is insufficiently developed. Novel and powerful techniques are required in order to make precise predictions for collider experiments.
While there was a lot of progress over the last couple of years in understanding the mathematics of the functions that appear in scattering amplitude computations, it is known that new classes of functions show up that are poorly understood even from the mathematical side. In the simplest case, these new functions involve integrals over an elliptic curve, which is a one-dimensional Calabi-Yau manifold; i.e. they are elliptic functions. In more complicated cases, also integrals over higher-dimensional Calabi-Yau manifolds occur. These new functions are currently an active area of research not only in collider physics, but also in seemingly disconnected areas like string theory and pure mathematics.
The aim of the conference is to bring together particle physicists, string theorists and mathematicians working on elliptic functions and functions involving Calabi-Yau manifolds, with the grand goal of advancing our understanding of the functions required to make precise predictions for future particle physics experiments.
The conference is hosted by CERN TH-Department, the Niels Bohr Institute (Copenhagen) and the MITP (Mainz). It replaces the MITP workshop "Elliptic integrals in fundamental physics", which is postponed to 2021 due to the pandemic.