Standard model effective field theory from on-shell amplitudes*
T. Ma, Jing Shu, Ming-Lei Xiao
Abstract
Abstract We present a general method of constructing unfactorizable on-shell amplitudes (amplitude basis) and build up their one-to-one correspondence to the independent and complete operator basis in effective field theory (EFT). We apply our method to the Standard Model EFT and identify the amplitude basis in dimensions 5 and 6, which correspond to the Weinberg operator and operators in the Warsaw basis, except for some linear combinations.
Topics & Concepts
Basis (linear algebra)AmplitudeOperator (biology)Shell (structure)Standard Model (mathematical formulation)Field (mathematics)Effective field theoryField theory (psychology)PhysicsTheoretical physicsMathematicsQuantum electrodynamicsMathematical physicsQuantum mechanicsPure mathematicsGeometryEngineeringChemistryCivil engineeringGauge (firearms)BiochemistryGeneHistoryArchaeologyTranscription factorRepressorBlack Holes and Theoretical PhysicsElectromagnetic Simulation and Numerical MethodsQuantum Chromodynamics and Particle Interactions