Description
Abstract: Integration-by-parts (IBP) reduction is a central tool in the computation of scattering amplitudes, which provide the essential link between theoretical predictions and experimental observations in particle physics and gravitational-wave science. In perturbative quantum field theory, scattering amplitudes are expressed as sums of large numbers of highly non-trivial Feynman integrals. IBP identities enable the systematic reduction of these integrals to a finite and minimal basis of so-called master integrals, thereby drastically simplifying the problem. Despite its conceptual simplicity, IBP reduction remains a major computational bottleneck in modern amplitude calculations, primarily due to the enormous systems of equations that must be solved. In this talk, I will review contemporary approaches to IBP reduction, highlighting recent algorithmic and computational advances. I will conclude by presenting a new code we have developed that leverages these modern techniques in an attempt to improve the efficiency of IBP reduction.