The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements
J. Blümlein, Peter Marquard, Carsten Schneider, Kay Schönwald
Abstract
We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting functions PNS+,PNS− and PNSs in QCD in the MS‾ scheme by using the traditional method of space–like off shell massless operator matrix elements. This is a gauge–dependent framework. For the first time we also calculate the three–loop anomalous dimensions PNS±,tr for transversity directly. We compare our results to the literature.
Topics & Concepts
PhysicsLoop (graph theory)Massless particleShell (structure)Operator (biology)Matrix (chemical analysis)Singlet stateSpace (punctuation)Gauge (firearms)Particle physicsQuantum chromodynamicsMathematical physicsCombinatoricsQuantum mechanicsMathematicsExcited stateBiochemistryMaterials scienceGeneChemistryArchaeologyRepressorComposite materialPhilosophyHistoryTranscription factorLinguisticsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical Physics