I will briefly introduce the Young Tableau method developed in recent years for constructing a complete and independent effective operator basis for Lorentz invariant quantum field theory with gauge symmetries. I will then mainly focus on the concept and the construction of the J-basis operator which is related to certain scattering amplitude with definite quantum numbers, and discuss its applications in finding the tree-level UV origin of EFT operators and non-interference effect in the collider physics.
Andrea Pelloni, Tanjona Rabemananjara, Tommaso Giani