Workshop on Feynman Integrals for Gravitational Waves

Europe/London
Description

Gravitational Wave Physics at LIGO-Virgo-KAGRA and future detectors requires precision predictions of inspiral waveforms for black hole and neutron star merger events. Given recent works that use quantum field theory methods based on scattering amplitudes or worldlines to understand the binary problem in general relativity, the evaluation of high-loop Feynman integrals becomes crucial for pushing the frontiers. This workshop brings together experts to discuss various aspects of Feynman integrals and their applications to gravitational physics, including integration-by-parts (IBP) reduction, differential equations, computational algebraic geometry, machine learning, and automation. The workshop also aims to identify state-of-the-art problems that require future efforts.

Confirmed speakers:

Zvi Bern (UC Los Angeles)

Enrico Herrmann (UC Los Angeles)

Radu Roiban (Pennsylvania State University)

Michael Ruf (SLAC)

Matteo Sergola (UC Los Angeles)

Sid Smith (University of Padova)

Matthias Wilhelm (University of Southern Denmark, Odense)

Mao Zeng (University of Edinburgh)

    • 09:30 11:00
      Welcome and overview 1h 30m
      Speaker: Zvi Bern (UC Los Angeles)
    • 11:00 12:30
      Update on integral reduction 1h 30m
      Speaker: Sid Smith (University of Padova)
    • 13:00 14:00
      Free discussion and work sessions on topics from talks
    • 14:00 15:30
      Improving integral bases 1h 30m
      Speaker: Enrico Herrmann (UC Los Angeles)
    • 15:30 17:00
      Differential equations for classical gravity 1h 30m
      Speaker: Michael Ruf (SLAC)
    • 10:00 11:30
      Improved seeding for IBP reduction 1h 30m
      Speaker: Matthias Wilhelm (University of Southern Denmark, Odense)
    • 12:00 13:00
      Free discussion and work sessions on topics from talks
    • 14:00 15:30
      New ideas for improved integrands 1h 30m
      Speakers: Matteo Sergola (UC Los Angeles), Radu Roiban (Pennsylvania State University)
    • 10:00 11:30
      Prospects for AI to improve IBPs 1h 30m
      Speaker: Matthias Wilhelm (University of Southern Denmark, Odense)
    • 12:00 13:00
      Free discussion and work sessions on topics from talks
    • 14:00 15:30
      Discussion on identifying state-of-the-art test problems 1h 30m
      Speakers: Radu Roiban (Pennsylvania State University), Mao Zeng (The University of Edinburgh)
    • 10:00 11:30
      Automating four-loop IBP reduction and amplitude assembly 1h 30m
      Speaker: Mao Zeng (The University of Edinburgh)
    • 11:30 13:00
      Cross-checking results of integration 1h 30m
      Speaker: Zvi Bern (UC Los Angeles)
    • 13:00 14:00
      Free discussion and work sessions on topics from talks