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Journal of High Energy Physics
Article . 2019 . Peer-reviewed
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Journal of High Energy Physics
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Journal of High Energy Physics
Article . 2019
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https://dx.doi.org/10.48550/ar...
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Orbital angular momentum at small x

Authors: Kovchegov, Yuri;

Orbital angular momentum at small x

Abstract

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.

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Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal