QCD evolution of the orbital angular momentum of quarks and gluons: Genuine twist-three part

Abstract

We present the numerical solution of the one-loop QCD evolution equation for the genuine twist-three part of the orbital angular momentum (OAM) distributions of quarks and gluons inside a longitudinally polarized nucleon. This is based on the observation that the evolution is identical to that of the Efremov-Teryaev-Qiu-Sterman function for transverse single spin asymmetry. Together with the known evolution of the Wandzura-Wilczek part, the one-loop evolution of OAM distributions is now practically under control. We also study, for the first time, the scale dependence of the potential angular momentum defined as the difference between the Ji and Jaffe-Manohar definitions of OAM.

12 pages, 5 figures; minor changes;

References in corpus (14)

• A first unbiased global determination of polarized PDFs and their uncertainties
• Evidence for polarization of gluons in the proton
• Quark Wigner Distributions and Orbital Angular Momentum
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• Gluon orbital angular momentum at small-$x$
• Generalized TMDs and the exclusive double Drell-Yan process
• Hunting the Gluon Orbital Angular Momentum at the Electron-Ion Collider
• Quark orbital dynamics in the proton from Lattice QCD -- from Ji to Jaffe-Manohar orbital angular momentum
• Wigner Distributions For Gluons
• On the small-$x$ behavior of the orbital angular momentum distributions in QCD
• Angular momentum decomposition from a QED example
• Exclusive double quarkonium production and generalized TMDs of gluons
• Quark orbital angular momentum in the proton evaluated using a direct derivative method

Cited by in corpus (5)

• From Ji to Jaffe-Manohar orbital angular momentum in Lattice QCD using a direct derivative method
• Definition and evolution of transverse momentum dependent distribution of twist-three
• Proton spin after 30 years: what we know and what we don't?
• Potential linear and angular momentum in the scalar diquark model
• A semi-analytical $x$-space solution for parton evolution -- Application to non-singlet and singlet DGLAP equation