
arXiv: 1901.07453
AbstractWe determine the small Bjorkenxasymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton in the double-logarithmic approximation (DLA), which resums powers ofαsln2(1/x) withαsthe strong coupling constant. Starting with the operator definitions for the quark and gluon OAM, we simplify them at smallx, relating them, respectively, to the polarized dipole amplitudes for the quark and gluon helicities defined in our earlier works. Using the small-xevolution equations derived for these polarized dipole amplitudes earlier we arrive at the following small-xasymptotics of the quark and gluon OAM distributions in the large-Nclimit:$$ {L}_{q+\overline{q}}\left(x,{Q}^2\right)=-\Delta \Sigma \left(x,{Q}^2\right)\sim {\left(\frac{1}{x}\right)}^{\frac{4}{\sqrt{3}}\kern0.5em \sqrt{\frac{\alpha_s\kern0.5em {N}_c}{2\pi }}}, $$Lq+q¯xQ2=−ΔΣxQ2∼1x43αsNc2π,$$ {L}_G\left(x,{Q}^2\right)\sim \Delta G\left(x,{Q}^2\right)\sim {\left(\frac{1}{x}\right)}^{\frac{13}{4\sqrt{3}}\kern0.5em \sqrt{\frac{\alpha_s\kern0.5em {N}_c}{2\pi }}}. $$LGxQ2∼ΔGxQ2∼1x1343αsNc2π.
Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, Nuclear and particle physics. Atomic energy. Radioactivity, Perturbative QCD, FOS: Physical sciences, Resummation, QC770-798, Nuclear Experiment (nucl-ex), Nuclear Experiment
Nuclear Theory (nucl-th), High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory, Nuclear and particle physics. Atomic energy. Radioactivity, Perturbative QCD, FOS: Physical sciences, Resummation, QC770-798, Nuclear Experiment (nucl-ex), Nuclear Experiment
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