Speaker
Description
Next-to-next-to-leading order corrections are essential for meeting the precision goals of the LHC and future colliders, making efficient automated NNLO tools increasingly important. Within the OpenLoops framework, the calculation involves loop-momentum tensor integrals, process-dependent tensor coefficients, and process-independent UV and rational counterterms. We present a new recursive algorithm that reduces arbitrary two-loop tensor integrals to scalar integrals, which are then further reduced to master integrals and evaluated using standard tools. The algorithm has been implemented in an efficient numerical code that can be interfaced with OpenLoops, allowing all ingredients of the calculation to be combined in an automated way. We discuss the current status of the implementation, with emphasis on validation, performance, and numerical stability.