Dipole operators in Fierz identities
Jason Aebischer, Marko Pesut, Zachary Polonsky
Abstract
We study the contribution from dipole operators to one-loop Fierz identities and provide the resulting QCD and QED shifts to the tree-level relations for all four-fermion operators. The results simplify one-loop basis changes as well as matching computations and allow one to consistently eliminate operators from an operator basis which give rise to complications, e.g. traces involving γ5.
Topics & Concepts
PhysicsOperator (biology)Basis (linear algebra)Tree (set theory)Quantum chromodynamicsComputationFermionMatching (statistics)DipoleLoop (graph theory)Particle physicsCreation and annihilation operatorsQuantum electrodynamicsTheoretical physicsQuantum mechanicsMathematical analysisAlgorithmCombinatoricsComputer scienceGeometryMathematicsRepressorQuantumGeneTranscription factorChemistryBiochemistryStatisticsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics