Global analysis of polarized DIS and SIDIS data with improved small- x helicity evolution

Adamiak, Daniel; Baldonado, Nicholas; Kovchegov, Yuri V.; Melnitchouk, W.; Pitonyak, Daniel; Sato, Nobuo; Sievert, Matthew D.; Tarasov, Andrey; Tawabutr, Yossathorn

doi:10.1103/PhysRevD.108.114007

Title: Global analysis of polarized DIS and SIDIS data with improved small- $x$ helicity evolution

Journal Article · Mon Dec 11 00:00:00 EST 2023 · Physical Review. D.

DOI:https://doi.org/10.1103/PhysRevD.108.114007· OSTI ID:2325068

; Baldonado, Nicholas;

;

; Pitonyak, Daniel; Sato, Nobuo; Sievert, Matthew D.; Tarasov, Andrey;

We analyze the world polarized deep-inelastic scattering (DIS) and semi-inclusive DIS (SIDIS) data at low values of x < 0.1, using small-x evolution equations for the flavor singlet and nonsinglet helicity parton distribution functions (hPDFs), which resum all powers of both α_sln²(1/x) and α_sln(1/x) ln(Q²/Q$$^2_0$$), with α_s being the strong coupling constant. The hPDFs for quarks, antiquarks, and gluons are extracted and evolved to lower values of x to make predictions for the future Electron-Ion Collider (EIC). We improve on our earlier work by employing the more realistic large-N_c&N_f limit of the revised small-x helicity evolution, and by incorporating running coupling corrections along with SIDIS data into the fit. We find an anticorrelation between the signs of the gluon and C-even quark hPDFs, as well as the g₁ structure function. While the existing low-x polarized DIS and SIDIS data are insufficient to constrain the initial conditions for the polarized dipole amplitudes in the helicity evolution equations, future EIC data will allow more precise predictions for hPDFs and the g₁ structure function for x values beyond those probed at the EIC. Using the obtained hPDFs, we discuss the contributions to the proton spin from quark and gluon spins at small x.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); The Ohio State Univ., Columbus, OH (United States). Office of Sponsored Programs

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); Academy of Finland; European Union’s Horizon 2020; European Research Council (ERC)

Contributing Organization:: Jefferson Lab Angular Momentum (JAM) Collaboration

Grant/Contract Number:: SC0004286; SC0020081; AC05-06OR23177; PHY-2011763; PHY-2308567; 824093; ERC- 2015-CoG-681707

OSTI ID:: 2325068

Alternate ID(s):: OSTI ID: 2234011; OSTI ID: 2322575

Report Number(s):: JLAB-THY-23-3896; DOE/OR/23177-6857; PRVDAQ; 114007

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Vol. 108 Journal Issue: 11; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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