Ward identities for the standard model effective field theory
Tyler Corbett, Andreas Helset, Michael Trott
Abstract
We derive Ward identities for the standard model effective field theory using the background-field method. The resulting symmetry constraints on the standard model effective field theory are basis independent, and constrain the perturbative and power-counting expansions. A geometric description of the field connections, and real representations for the $\mathrm{SU}(2{)}_{\mathrm{L}}\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1{)}_{\mathrm{Y}}$ generators, underlies the derivation.
Topics & Concepts
Field (mathematics)Symmetry (geometry)Basis (linear algebra)Standard Model (mathematical formulation)Field theory (psychology)Effective field theoryModel theoryTheoretical physicsMathematical physicsPhysicsMathematicsDiscrete mathematicsQuantum mechanicsPure mathematicsGeometryArchaeologyGauge (firearms)HistoryBlack Holes and Theoretical PhysicsPhysics of Superconductivity and MagnetismIonosphere and magnetosphere dynamics