A Systematic and Efficient Method to Compute Multi-loop Master Integrals

Understand

We propose a novel method to compute multi-loop master integrals by constructing and numerically solving a system of ordinary differential equations, with almost trivial boundary conditions.

• Thus it can be systematically applied to problems with arbitrary kinematic configurations.
• Numerical tests show that our method can not only achieve results with high precision, but also be much faster than the only existing systematic method sector decomposition.
• As a by product, we find a new strategy to compute scalar one-loop integrals without reducing them to master integrals.