Evaluation of Feynman integrals for scattering observables relevant for gravitational physics: GravityIntegrals

Programme(s): HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)

Topic(s): HORIZON-MSCA-2021-PF-01-01 - MSCA Postdoctoral Fellowships 2021

Call for proposal: HORIZON-MSCA-2021-PF-01

Funding Scheme: MSCA-PF - MSCA-PF

Grant agreement ID: 101064409

Project description:

Improving mathematical models for gravitation
Creating models of gravitational waves moving at close to or at light speed requires complex mathematics which must be done using a computer. Funded under the Marie Skłodowska-Curie Actions scheme, the GravityIntegrals project seeks to improve the computation of integrals contained in post-Minkowskian models of gravitational observables using modern scattering amplitude techniques. These integrals have a complicated structure containing elliptic curves, which makes finding exact answers impossible and computing approximate solutions for them more challenging. Utilising studies from collider physics, researchers will propose a better way to evaluate these integrals.

Objective:
This work focuses on the evaluation of integrals encountered in Post-Minkowskian perturbative expansion of gravitational observables, using the modern scattering amplitude techniques. In particular, we encounter integrals having a very complicated analytic structure in the form of integrals containing elliptic curves. These integrals are one of the main bottlenecks in the present computations. The aim is to utilise studies from collider physics to evaluate these integrals.