Title: General Amplitudes for Beyond the Standard Model Physics
Abstract: At the LHC and future colliders, in addition to searching for specific theories, it is crucial to search for new physics model-independently. In this talk, I will describe how to determine the most general on-shell scattering interactions involving Standard Model particles which are SU(3)_c x U(1)_em invariant. By a combination of the Hilbert series and numerical computations, we have completely determined the structure for three and four point interactions. The amplitudes provide a framework to connect experimental searches and effective field theories. One can also use the interactions to perform a systematic search for new physics. As applications, I will discuss how these enable i) searches for general lepton number violating decays for the muon and tau and ii) effective field theory searches that take into account higher order theoretical uncertainties.