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
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.
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Acknowledgments
We are grateful to Yossathorn (Josh) Tawabutr for his extensive advice on the numerical solution performed here and to Yoshitaka Hatta and M. Gabriel Santiago for helpful and encouraging discussions.
This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics under Award Number DE-SC0004286.
The work is performed within the framework of the Saturated Glue (SURGE) Topical Theory Collaboration.
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Kovchegov, Y.V., Manley, B. Orbital angular momentum at small x revisited. J. High Energ. Phys. 2024, 60 (2024). https://doi.org/10.1007/JHEP02(2024)060
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DOI: https://doi.org/10.1007/JHEP02(2024)060