Transverse momentum dependent operator expansion at next-to-leading power
Alexey Vladimirov, Valentin Moos, Ignazio Scimemi
Abstract
A bstract We develop a method of transverse momentum dependent (TMD) operator expansion that yields the TMD factorization theorem on the operator level. The TMD operators are systematically ordered with respect to TMD-twist, which allows a certain separation of kinematic and genuine power corrections. The process dependence enters via the boundary conditions for the background fields. As a proof of principle, we derive the effective operator for hadronic tensor in TMD factorization up to the next-to-leading power (∼ q T / Q ) at the next-to-leading order for any process with two detected states.
Topics & Concepts
Operator (biology)FactorizationOperator product expansionTransverse planeTwistTensor (intrinsic definition)Boundary (topology)MathematicsKinematicsPhysicsMathematical physicsMathematical analysisPure mathematicsClassical mechanicsGeometryStructural engineeringEngineeringAlgorithmChemistryTranscription factorGeneBiochemistryRepressorParticle physics theoretical and experimental studiesHigh-Energy Particle Collisions ResearchQuantum Chromodynamics and Particle Interactions