The computation of scattering amplitudes connects formal theory, phenomenology, and experiment. Feynman integrals, as the most established method for evaluating scattering amplitudes, encounter growing computational challenges as experimental precision increases. Integration-by-parts (IBP) reduction, though widely used, often becomes the main bottleneck in the evaluation process. Our package, NeatIBP1.1 + Kira, uses syzygy and module intersection techniques to generate compact IBP systems and performs automatic reduction using Kira, significantly improving reduction efficiency. The latest version also incorporates the spanning cuts method, further reducing the overall computational complexity for particularly demanding problems.

Biography

Dr. Yingxuan Xu is currently a postdoctoral researcher at Humboldt University of Berlin, where he also earned his PhD in Physics in 2025. His research focuses on the computation of scattering amplitudes in high-energy and gravitational physics, including QCD Feynman integrals, amplitude calculations in gravitational wave processes, and the development of novel computational techniques.

Inviter: Gang Yang