Small- x Evolution of the Gluon Generalized Parton Distribution E g of the Nucleon

Hatta, Yoshitaka; Zhou, Jian

doi:10.1103/PhysRevLett.129.252002

Title: Small- $x$ Evolution of the Gluon Generalized Parton Distribution $E_{g}$ of the Nucleon

Journal Article · Fri Dec 16 00:00:00 EST 2022 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.129.252002· OSTI ID:1905339

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Here, we study the small-x evolution equation for the gluon generalized parton distribution E_g of the nucleon. It is shown that E_g at vanishing skewness exhibits the Regge behavior identical to the Balitsky-Fadin Kuraev-Lipatov pomeron despite its association with nucleon helicity-flip processes. We also consider the effect of gluon saturation and demonstrate that E_g gets saturated in the same way as its helicity-nonflip counterpart H_g. Our result has a direct impact on the modeling of E_g as well as the small-x contribution to nucleon spin sum rules

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

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

Grant/Contract Number:: SC0012704

OSTI ID:: 1905339

Alternate ID(s):: OSTI ID: 1906170

Report Number(s):: BNL-223814-2022-JAAM; PRLTAO; 252002

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 129 Journal Issue: 25; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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Title: Small- $x$ Evolution of the Gluon Generalized Parton Distribution $E_{g}$ of the Nucleon