High-Precision Observables from New Amplitude Methods – Observables

The LHC and the new generation of gravitational detectors are providing a huge surge of experimental data, offering a unique opportunity to test the Standard Model of particle physics and Einstein's theory of gravity. To successfully implement this program, we need powerful methods for deriving high-precision theoretical predictions for the relevant physical observables.

To this end, we aim to develop a new technique for computing scattering amplitudes with a large number of particles involved in perturbation theory in both gauge theory and gravity theory. We plan to apply this technique to calculate three different classes of observables:
(i) Differential cross-sections at large multiplicities relevant to LHC physics, (ii) Energy correlations allowing us to understand the properties of jets in QCD, (iii) Gravitational observables describing radiation from binary systems.
We will build on recent advances in the field of "Amplitudes" and use supersymmetric Yang-Mills theory, integrability, algebraic-geometric methods as applied to gauge theory observables, and the exponential formalism for gravitational observables. Our goal is to obtain new results for the above-mentioned observables and uncover hidden structures in gauge theories and gravity.