Fermion geometry and the renormalization of the Standard Model Effective Field Theory
Benoît Assi, Andreas Helset, Aneesh V. Manohar, Julie Pagès, Chia-Hsien Shen
Abstract
A bstract The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop corrections. Using this geometric framework, we calculate the fermion loop contributions to the renormalization group equations for bosonic operators in the Standard Model Effective Field Theory up to mass dimension eight.
Topics & Concepts
PhysicsFermionRenormalizationGauge theoryQuantum field theoryMathematical physicsEffective field theoryStandard Model (mathematical formulation)Fermionic fieldField (mathematics)Renormalization groupTheoretical physicsScattering amplitudeFunctional renormalization groupAsymptotic safety in quantum gravityCurved spaceField theory (psychology)Quantum electrodynamicsQuantum gravityScatteringQuantum mechanicsGauge (firearms)QuantumHistoryArchaeologyMathematicsPure mathematicsParticle physics theoretical and experimental studiesBlack Holes and Theoretical PhysicsQuantum Chromodynamics and Particle Interactions