The three-loop single mass polarized pure singlet operator matrix element
Jakob Ablinger, Arnd Behring, J. Blümlein, A. Freitas, Andreas von Manteuffel, Carsten Schneider, Kay Schönwald
Abstract
We calculate the massive polarized three-loop pure singlet operator matrix element AQq(3),PS in the single mass case in the Larin scheme. This operator matrix element contributes to the massive polarized three-loop Wilson coefficient HQq(3),PS in deep-inelastic scattering and constitutes a three-loop transition matrix element in the variable flavor number scheme. We provide analytic results in Mellin N and in x space and study the behaviour of this operator matrix element in the region of small and large values of the Bjorken variable x.
Topics & Concepts
Operator matrixOperator (biology)PhysicsLoop (graph theory)Matrix (chemical analysis)Element (criminal law)Mass matrixSinglet stateMathematical physicsParticle physicsQuantum mechanicsMathematical analysisMathematicsCombinatoricsMaterials scienceChemistryExcited stateGeneComposite materialRepressorTranscription factorPolitical scienceBiochemistryLawNeutrinoQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies