Speaker
Junhan William Liu
(University of Cambridge)
Description
In this talk, we will present a general strategy for solving integration-by-parts (IBP) identities. Our approach is based on the diagonalisation of the IBP system, which effectively reduces it to single-variable recurrence relations. To the best of our knowledge, this is achieved here for the first time of its use. This framework yields an iterative reduction procedure that enables highly efficient solutions for high-rank integrals and provides a direct route to closed-form solutions. The diagonalisation algorithm further gives rise to a novel class of reduction rules, which we term the triangular approach. This method is tailored to QCD multi-loop reductions, where it leads to significant improvements in computational efficiency.
Author
Junhan William Liu
(University of Cambridge)