Orbital angular momentum at small $$x$$ revisited
Abstract
We revisit the problem of the small Bjorken-x asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton utilizing the revised small-x helicity evolution derived recently in [1]. We relate the quark and gluon OAM distributions at small x to the polarized dipole amplitudes and their (first) impact-parameter moments. To obtain the OAM distributions, we derive novel small-x evolution equations for the impact-parameter moments of the polarized dipole amplitudes in the double-logarithmic approximation (summing powers of αs ln2(1/x) with αs the strong coupling constant). We solve these evolution equations numerically and extract the leading large-Nc, small-x asymptotics of the quark and gluon OAM distributions, which we determine to be $${L}_{q+\overline{q}}\left(x,{Q}^2\right)\sim {L}_G\left(x,{Q}^2\right)\sim \Delta \Sigma \left(x,{Q}^2\right)\sim \Delta G\left(x,{Q}^2\right)\sim {\left(\frac{1}{2}\right)}^{3.66\sqrt{\frac{\alpha_s{N}_c}{2_π}}}$$in agreement with [2] within the precision of our numerical evaluation. (Here Nc is the number of quark colors.) We also investigate the ratios of the quark and gluon OAM distributions to their helicity distribution counterparts in the small-x region.
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States). Office of Sponsored Programs
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 2322576
- Grant/Contract Number:
- SC0004286
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2024; Journal Issue: 2; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; deep inelastic scattering or small-x physics; parton distributions; resummation
Citation Formats
Kovchegov, Yuri V., and Manley, Brandon. Orbital angular momentum at small $x$ revisited. United States: N. p., 2024.
Web. doi:10.1007/jhep02(2024)060.
Kovchegov, Yuri V., & Manley, Brandon. Orbital angular momentum at small $x$ revisited. United States. https://doi.org/10.1007/jhep02(2024)060
Kovchegov, Yuri V., and Manley, Brandon. Thu .
"Orbital angular momentum at small $x$ revisited". United States. https://doi.org/10.1007/jhep02(2024)060. https://www.osti.gov/servlets/purl/2322576.
@article{osti_2322576,
title = {Orbital angular momentum at small $x$ revisited},
author = {Kovchegov, Yuri V. and Manley, Brandon},
abstractNote = {We revisit the problem of the small Bjorken-x asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton utilizing the revised small-x helicity evolution derived recently in [1]. We relate the quark and gluon OAM distributions at small x to the polarized dipole amplitudes and their (first) impact-parameter moments. To obtain the OAM distributions, we derive novel small-x evolution equations for the impact-parameter moments of the polarized dipole amplitudes in the double-logarithmic approximation (summing powers of αs ln2(1/x) with αs the strong coupling constant). We solve these evolution equations numerically and extract the leading large-Nc, small-x asymptotics of the quark and gluon OAM distributions, which we determine to be ${L}_{q+\overline{q}}\left(x,{Q}^2\right)\sim {L}_G\left(x,{Q}^2\right)\sim \Delta \Sigma \left(x,{Q}^2\right)\sim \Delta G\left(x,{Q}^2\right)\sim {\left(\frac{1}{2}\right)}^{3.66\sqrt{\frac{\alpha_s{N}_c}{2_π}}}$in agreement with [2] within the precision of our numerical evaluation. (Here Nc is the number of quark colors.) We also investigate the ratios of the quark and gluon OAM distributions to their helicity distribution counterparts in the small-x region.},
doi = {10.1007/jhep02(2024)060},
journal = {Journal of High Energy Physics (Online)},
number = 2,
volume = 2024,
place = {United States},
year = {Thu Feb 08 00:00:00 EST 2024},
month = {Thu Feb 08 00:00:00 EST 2024}
}
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