Low-Energy Effective Field Theory below the Electroweak Scale: dimension-8 operators
Christopher W. Murphy
Abstract
A bstract We construct a complete basis of dimension-8 operators in the Low-Energy Effective Field Theory below the Electroweak Scale (LEFT). We find there are 35058 dimension-8 operators in the LEFT for two generations of up-type quarks and three generations of down-type quarks, charged leptons, and left-handed neutrinos. The existence of this operator basis is a necessary prerequisite for matching to the Standard Model Effective Field Theory at the dimension-8 level.
Topics & Concepts
PhysicsElectroweak interactionEffective field theoryParticle physicsBasis (linear algebra)Standard Model (mathematical formulation)Theoretical physicsElectroweak scaleQuarkOperator (biology)Field theory (psychology)Field (mathematics)Quantum field theoryTechnicolorScale (ratio)Matching (statistics)Quantum electrodynamicsPhysics beyond the Standard ModelConstruct (python library)Elementary particleMathematical physicsGrand Unified TheoryThermal quantum field theoryEffective actionUnified field theoryParticle physics theoretical and experimental studiesNeutrino Physics ResearchInternational Science and Diplomacy