Reducing Feynman integrals using Blade - Xin Guan (SLAC)

Feynman integral reduction plays an indispensable role in calculating high order perturbative corrections of scattering amplitudes to make precise theoretical predictions. In this talk, in addition to introducing the widely used Integration-by-part(IBP) Feynman integral reduction method, I will present the package Blade, which is the first implementation of the block-triangular form improved Feynman integral reduction method. Blade usually improves the IBP reduction efficiency by 1-2 orders of magnitude. I will elucidate the algorithms involved along with their implementations. Additionally, I will highlight several distinctive features of Blade, including optimized seeding, spanning-sector reduction algorithm and general integrands.