Small-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math> Evolution of the Gluon Generalized Parton Distribution <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>E</mml:mi><mml:mi>g</mml:mi></mml:msub></mml:math> of the Nucleon

Abstract

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.

Topics & Concepts