Periodic Reporting for period 3 - CutLoops (Loop amplitudes in quantum field theory)
Reporting period: 2018-10-01 to 2020-03-31
Particle colliders involve complicated scattering configurations, where the traditional method of computing probability amplitudes by Feynman rules fails to be feasibly implementable on a reasonable time scale. Recently, a set of methods have been developed to construct these mathematical functions recursively, based on newly-discovered symmetries in quantum field theory.
The objective of the CutLoops project is to explore the mathematics of singularities in particle scattering, discover algebraic relations among them, thereby to reveal deeper structure and fundamental principles in quantum field theory, and to apply these tools to specific particle scattering processes relevant to current collider experiments.