One-loop Fierz transformations
Jason Aebischer, Marko Pesut
Abstract
A bstract Fierz transformations for four-fermion operators are generalized to the one-loop level. A general renormalization scheme is used to compute QCD and QED corrections to the tree-level relations, which result from Fierz-evanescent operators. The results can be used to perform general one-loop basis transformations involving four-fermi and evanescent operators. We illustrate the usefulness of our results by discussing two examples from a matching calculation and a one-loop basis change.
Topics & Concepts
PhysicsLoop (graph theory)Quantum chromodynamicsRenormalizationBasis (linear algebra)FermionParticle physicsMathematical physicsQuantum electrodynamicsTheoretical physicsMathematicsCombinatoricsGeometryParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics