Functional prescription for EFT matching
Timothy Cohen, Xiaochuan Lu, Zhengkang Zhang
Abstract
A bstract We simplify the one-loop functional matching formalism to develop a streamlined prescription. The functional approach is conceptually appealing: all calculations are performed within the UV theory at the matching scale, and no prior determination of an Effective Field Theory (EFT) operator basis is required. Our prescription accommodates any relativistic UV theory that contains generic interactions (including derivative couplings) among scalar, fermion, and vector fields. As an example application, we match the singlet scalar extended Standard Model (SM) onto SMEFT.
Topics & Concepts
PhysicsFormalism (music)Scalar (mathematics)Matching (statistics)Theoretical physicsEffective field theoryBasis (linear algebra)Operator (biology)Scalar fieldDensity functional theoryField (mathematics)AlgorithmPerturbation theory (quantum mechanics)Singlet stateStatistical physicsScalar field theoryQuantum field theoryQuantum mechanicsDerivative (finance)Standard Model (mathematical formulation)SupersymmetryField theory (psychology)Vector spaceOperator algebraAlgebra over a fieldMathematical physicsSpacetimeQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesQuantum and Classical Electrodynamics