Orbital angular momentum at small x

Kovchegov, Yuri V.

doi:10.1007/JHEP03(2019)174

Orbital angular momentum at small x

Journal Article · Wed Mar 27 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2019)174· OSTI ID:1604158

Kovchegov, Yuri V. ^[1]

The Ohio State Univ., Columbus, OH (United States). Dept. of Physics; The Ohio State University

We determine the small Bjorken x asymptotics of the quark and gluon orbital angular momentum (OAM) distributions in the proton in the double-logarithmic approximation (DLA), which resums powers of α_s ln²(1/x) with α_s the strong coupling constant. Starting with the operator definitions for the quark and gluon OAM, we simplify them at small x, relating them, respectively, to the polarized dipole amplitudes for the quark and gluon helicities defined in our earlier works. Using the small-x evolution equations derived for these polarized dipole amplitudes earlier we arrive at the following small-x asymptotics of the quark and gluon OAM distributions in the large-N_c limit:

L_{q + \bar{q}} (x, Q^{2}) = - Δ Σ (x, Q^{2}) \sim {(\frac{1}{x})}^{\frac{4}{\sqrt{3}} \sqrt{\frac{α_{s} N_{c}}{2 π}}},

(1a)

L_{q + \bar{q}} (x, Q^{2}) = - Δ Σ (x, Q^{2}) \sim {(\frac{1}{x})}^{\frac{4}{\sqrt{3}} \sqrt{\frac{α_{s} N_{c}}{2 π}}},

(1b)

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0004286

OSTI ID:: 1604158

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2019; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Helicity-dependent generalization of the JIMWLK evolution Cougoulic, Florian; Kovchegov, Yuri V. Physical Review D, Vol. 100, Issue 11 https://doi.org/10.1103/physrevd.100.114020	journal	December 2019
Helicity-dependent generalization of the JIMWLK evolution Cougoulic, Florian; Kovchegov, Yuri V. arXiv https://doi.org/10.48550/arxiv.1910.04268	text	January 2019

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