YOUNGST@RS - Loop-the-Loop: Feynman Calculus and its Applications to Gravity and Particle Physics

Session

Review

12 Nov 2024, 09:30

Presentation materials

abreu_LtL.pdf

30. Mathematical methods from scattering amplitudes to modern scientific calculus

Pierpaolo Mastrolia

12/11/2024, 09:30

I recall generalised unitarity, integrand decomposition, integration-by-parts identities, differential equations, GKZ-systems and intersection theory, connecting Cauchy's residue theorem, Stokes' theorem and Gauss' linking numbers,
and elaborate on the emerging crucial role played by De Rham co-homology theory, ruling the differential and algebraic properties of the integral functions that...

31. Classical black-hole scattering from worldline quantum field theory at highest precision

Jan Plefka

13/11/2024, 09:30

Predicting the outcome of scattering processes of elementary particles in colliders is the central
achievement of relativistic quantum field theory applied to the fundamental (non-gravitational)
interactions of nature. While the gravitational interactions are too minuscule to be observed
in the microcosm, they dominate the interactions at large scales. As such the inspiral and merger...

32. An overview of new(ish) tools for the calculation of scattering amplitudes

Samuel Abreu

14/11/2024, 09:30