Elliptics and Beyond

Europe/Zurich
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Jacob Bourjaily (Penn State University), Johannes Broedel (HU Berlin), Ekta Chaubey (Institute of Physics, JGU, Mainz), Claude Duhr (CERN), Elena Gianolio (CERN), Matt von Hippel, Andrew McLeod (Niels Bohr Institute), Matthias Wilhelm (University of Copenhagen)
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. 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. 

Confirmed speakers:

  • Lara Anderson
  • Ruth Britto
  • David Broadhurst
  • Eric D'Hoker
  • Chuck Doran
  • Martijn Hidding
  • Harald Ita
  • André Kaderli
  • Albrecht Klemm
  • Roman Lee
  • Robin Marzucca
  • Sebastian Mizera
  • Narayan Rana
  • Matija Tapuskovic
  • Piotr Tourkine
  • Matthias Volk
  • Stefan Weinzierl
  • Karen Yeats
  • Federico Zerbini

Local organising committee:

  • Jacob Bourjaily (Penn State)
  • Johannes Broedel (HU Berlin)
  • Ekta Chaubey (Durham)
  • Claude Duhr (CERN)
  • Matt von Hippel (NBI)
  • Andrew McLeod (NBI)
  • Matthias Wilhelm (NBI)

Previous editions of the conference series:

Registration
Registration
Participants
    • 2:00 PM 2:45 PM
      Diagrammatic Coaction 45m
      Speaker: Ruth Britto
    • 2:45 PM 3:30 PM
      Symmetry of differential equations for non-polylogarithmic loop integrals and quadratic relations for their $\epsilon$ expansion coefficients 45m
      Speaker: Roman Lee
    • 3:30 PM 4:15 PM
      Break & Discussion 45m
    • 4:15 PM 5:00 PM
      NNLO phase-space integrals with massive lines 45m
      Speaker: Narayan Rana
    • 5:00 PM 6:00 PM
      Elliptic polylogarithms and superstring amplitudes 1h
      Speaker: Federico Zerbini
    • 11:00 AM 12:00 PM
      Organized Discussion 1h
    • 2:00 PM 2:45 PM
      Monodromies of string amplitudes 45m
      Speaker: Piotr Tourkine
    • 2:45 PM 3:30 PM
      Elliptic KZB associator and open-string integrals at genus one 45m
      Speaker: André Kaderli
    • 3:30 PM 4:15 PM
      Break & Discussion 45m
    • 4:15 PM 5:00 PM
      Modular graph functions, genus one and beyond 45m
      Speaker: Eric D'Hoker
    • 5:00 PM 6:00 PM
      GiNaC goes elliptic (numerical evaluation of elliptic multiple polylogarithms) 1h
      Speaker: Stefan Weinzierl
    • 7:00 PM 9:00 PM
      Conference Dinner 2h
    • 11:00 AM 12:00 PM
      Organized Discussion 1h
    • 2:00 PM 2:45 PM
      Vector Fields and Integrals 45m
      Speaker: Harald Ita
    • 2:45 PM 3:30 PM
      Numerical Evaluation of Elliptic Polylogarithms 45m
      Speaker: Robin Marzucca
    • 3:30 PM 4:15 PM
      Break & Discussion 45m
    • 4:15 PM 5:00 PM
      The Vector Space Structure of Feynman Integrals 45m
      Speaker: Pierpaolo Mastrolia
    • 5:00 PM 6:00 PM
      Physics and graph theory of Feynman periods 1h
      Speaker: Karen Yeats
    • 11:00 AM 12:00 PM
      Organized Discussion 1h
    • 2:00 PM 2:45 PM
      Feynman integrals, quasi-periods and black holes 45m
      Speaker: David Broadhurst
    • 2:45 PM 3:30 PM
      Motivic coaction and cohomology with twisted coefficients 45m
      Speaker: Matija Tapuskovic
    • 3:30 PM 4:15 PM
      Break & Discussion 45m
    • 4:15 PM 5:00 PM
      Geometry of Feynman Integrals in Twistor Space 45m
      Speaker: Matthias Volk
    • 5:00 PM 6:00 PM
      The Calabi-Yau Geometry of Feynman Integrals 1h
      Speaker: Chuck Doran
    • 11:00 AM 12:00 PM
      Organized Discussion 1h
    • 2:00 PM 2:45 PM
      Solving elliptic and more general Feynman integrals through expansion methods 45m
      Speaker: Martijn Hidding
    • 2:45 PM 3:30 PM
      Analytic Structure of all Loop Banana Amplitudes 45m
      Speaker: Albrecht Klemm
    • 3:30 PM 4:15 PM
      Break & Discussion 45m
    • 4:15 PM 5:00 PM
      An overview of Calabi-Yau Elliptic Fibrations 45m
      Speaker: Lara Anderson
    • 5:00 PM 6:00 PM
      Zeta and L-functions - old and new 1h
      Speaker: Francis Brown