Pseudo and quasi gluon PDF in the BFKL approximation

Abstract

I study the behavior of the gauge-invariant gluon bi-local operator with space-like separation at large longitudinal distances. Performing the Fourier transform, I also calculate the behavior of the pseudo and quasi gluon PDF at low Bjorken $x$ and compare it with the leading and next-to-leading twist approximation. I show that the pseudo-PDF and quasi-PDF are very different in this regime and that the higher twist corrections of the quasi-PDF come in not as inverse powers of $P$ but as inverse powers of $x_{B}P$.

It matches the published version: analytic results and plots added, typos corrected

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Cited by in corpus (2)

• Continuum limit of parton distribution functions from the pseudo-distribution approach on the lattice
• Generalized parton distributions from the pseudo-distribution approach on the lattice