Elliptic Integrals in Fundamental Physics

Europe/Berlin
Description

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. Therefore, these so-called ”elliptic 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 topical workshop is to bring together particle physicists, string theorists and mathematicians working on elliptic functions, with the grand goal of advancing our understanding of elliptic functions required to make precise predictions for future particle physics experiments.

Contact MITP Team: Dominika Kosler
    • 9:55 AM 10:00 AM
      Welcome 5m
      Speakers: Claude Duhr , Ekta , Johannes Brödel , Stefan Weinzierl
    • 10:00 AM 11:00 AM
      From Feynman Integrals to Special Functions (and back…) 1h
      Speaker: Lorenzo Tancredi
    • 11:00 AM 11:30 AM
      Coffee Break 30m
    • 11:30 AM 12:00 PM
      Hypergeometric solutions of Feynman Integrals using Mellin-Barnes Integrals 30m
      Speaker: Sumit Banik
    • 2:30 PM 3:30 PM
      Modular graph forms from equivariant iterated Eisenstein integrals 1h
      Speaker: Oliver Schlotterer
    • 3:30 PM 4:00 PM
      Coffee Break 30m
    • 10:00 AM 11:00 AM
      Strange Symbol Structures for a Sufficiently Supplemented Sunrise 1h
      Speaker: Matthew von Hippel
    • 11:00 AM 11:30 AM
      Coffee Break 30m
    • 11:30 AM 12:00 PM
      ε-Factorization with Meromorphic Modular Forms 30m
      Speaker: Sebastian Poegel
    • 2:30 PM 3:30 PM
      Recent progress in intersection theory for Feynman integrals decomposition 1h
      Speaker: Vsevolod Chestnov
    • 3:30 PM 4:00 PM
      Coffee Break 30m
    • 10:00 AM 11:00 AM
      Calabi-Yau Geometries and Feynman Integrals — Bananas & Ice Cones 1h
      Speaker: Christoph Nega
    • 11:00 AM 11:30 AM
      Coffee Break 30m
    • 11:30 AM 12:00 PM
      Calabi-Yau Geometries and 2D Fishnet Integrals 30m
      Speaker: Franziska Porkert
    • 2:30 PM 3:30 PM
      Elliptic polylogarithms and iterated integrals in QCD 1h
      Speaker: Melih Arslan Ozcelik
    • 3:30 PM 4:00 PM
      Coffee Break 30m
    • 10:00 AM 11:00 AM
      Epsilon Factorized Differential Equations for Elliptic Feynman Integrals 1h
      Speaker: Hjalte Frellesvig
    • 11:00 AM 11:30 AM
      Coffee Break 30m
    • 11:30 AM 12:00 PM
      Loop-by-loop Differential Equations for Dual Elliptic Feynman Integrals 30m
      Speaker: Mathieu Giroux
    • 2:30 PM 3:30 PM
      Symbology for Elliptic Multiple Polylogarithms 1h
      Speaker: Chi Zhang
    • 3:30 PM 3:50 PM
      Coffee Break 20m
    • 10:00 AM 11:00 AM
      Long talk 1h
    • 11:00 AM 11:30 AM
      Coffee Break 30m
    • 11:30 AM 12:00 PM
      Young Scientist Talk 30m
    • 2:30 PM 3:30 PM
      Long Talk 1h
    • 3:30 PM 4:00 PM
      Coffee Break 30m