Scientists have developed a new recursive algorithm to reduce two-loop tensor integrals to scalar integrals, a crucial step for improving the precision of calculations in particle physics. This advance is fundamental for fully exploiting the potential of the Large Hadron Collider (LHC) and future colliders, as it enables high-precision calculations for a wide range of experimental observables. The implementation of automated tools for next-to-next-to-leading order (NNLO) calculations of perturbative scattering amplitudes is a long-sought goal in this field.

The team's approach divides the calculation of scattering amplitudes into three main components: loop momentum tensor integrals, the corresponding process-dependent tensor coefficients, and the interplay of $(D-4)$-dimensional parts of the integrand with the integral divergences. The presented algorithm has been implemented into an efficient numerical tool and represents significant progress in automating these complex calculations. Furthermore, a first version of the subsequent reduction to master integrals has also been implemented, allowing for a full validation of the algorithm.

The initial validation of the algorithm has been successful, and researchers have discussed its dependence on the precision of externally computed master integrals. This work is part of the development of tools within the OpenLoops framework, a project aiming to provide the main ingredients for a high-precision scattering amplitude calculation tool. The ability to perform these calculations with greater accuracy is vital for interpreting experimental data from the LHC and searching for new physics beyond the Standard Model.