Precise Perturbative Computations from Quadrature Rules (B04)

• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields ; Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 511713970

The project aims to improve theoretical predictions for hadroncollider experiments like the LHC. Current computational complexities and lack of analytic solutions for the appearing integrals are among the main obstacles to achieving the precision required by the experiments. The project will investigate novel numerical approaches for evaluating multi-dimensional Feynman integrals. Divergences will be dealt with by constructing local counterterms at the integrand level. We will then explore the application of hp-quadrature methods for the numerical evaluation of the finite remainders, as an alternative to to the Monte Carlo approach. The goal is to provide a proof of concept for novel numerical algorithms to evaluate two-loop integrals that are currently challenging to compute using conventional techniques.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1639: NuMeriQS: Numerical Methods for Dynamics and Structure Formation in Quantum Systems
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Claude Duhr; Professor Dr. Jürgen Dölz