Journal
PHYSICAL REVIEW LETTERS
Volume 118, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.118.052001
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Funding
- U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-SC0004286]
- DOE [DE-SC0012704]
- RIKEN BNL Research Center
- EIC program development fund from BNL
- U.S. Department of Energy, Office of Science under DOE Early Career Program
- TMD Topical Collaboration
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We construct a numerical solution of the small-x evolution equations derived in our recent work [J. High Energy Phys. 01 (2016) 072.] for the (anti) quark transverse momentum dependent helicity TMDs and parton distribution functions (PDFs) as well as the g(1) structure function. We focus on the case of large N-c, where one finds a closed set of equations. Employing the extracted intercept, we are able to predict directly from theory the behavior of the quark helicity PDFs at small x, which should have important phenomenological consequences. We also give an estimate of how much of the proton's spin carried by the quarks may be at small x and what impact this has on the spin puzzle.
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