Proton Spin Structure at Small-$x$

Abstract

We generalize the Bartels-Ermolaev-Ryskin approach for the $g_1$ structure function at small-$x$ to determine the small-$x$ asymptotic behavior of the orbital angular momentum distributions in QCD. We present an exact analytical solution of the evolution equation in the double logarithmic approximation and discuss its implications for the proton spin problem.

6 pages and 3-page appendix; v2:minor correction, references added

References in corpus (15)

• 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
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Sub-eikonal corrections to scattering amplitudes at high energy
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• Small-$x$ Helicity Evolution: an Operator Treatment
• Small-$x$ asymptotics of the quark helicity distribution
• Generalized TMDs and the exclusive double Drell-Yan process
• Small-$x$ Asymptotics of the Quark Helicity Distribution: Analytic Results
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• Wigner Distributions For Gluons
• Valence Quark Transversity at Small $x$
• On the small-$x$ behavior of the orbital angular momentum distributions in QCD

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