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Evaluation of Feynman integrals for scattering observables relevant for gravitational physics

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.

Coordinator

COMMISSARIAT A L ENERGIE ATOMIQUE ET AUX ENERGIES ALTERNATIVES
Net EU contribution
€ 211 754,88
Address
RUE LEBLANC 25
75015 PARIS 15
France

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Region
Ile-de-France Ile-de-France Paris
Activity type
Research Organisations
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Total cost
No data