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 $x_{B}P$.

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

References in corpus (33)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Nonlinear Gluon Evolution in the Color Glass Condensate: I
• Saturation Effects in Deep Inelastic Scattering at low $Q^2$ and its Implications on Diffraction
• The Wilson renormalization group for low x physics: towards the high density regime
• BFKL pomeron in the next-to-leading approximation
• Nonlinear Gluon Evolution in the Color Glass Condensate: II
• Parton Physics on Euclidean Lattice
• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Quasi-PDFs, momentum distributions and pseudo-PDFs
• Triumvirate of Running Couplings in Small-x Evolution
• Large-Momentum Effective Theory
• Exploring hadrons' partonic structure using ab initio lattice QCD calculations
• Extracting Parton Distribution Functions from Lattice QCD Calculations
• Exclusive processes in position space and the pion distribution amplitude
• A guide to light-cone PDFs from Lattice QCD: an overview of approaches, techniques and results
• Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order
• Pion distribution amplitude from Euclidean correlation functions: Exploring universality and higher-twist effects
• Photon impact factor in the next-to-leading order
• High-Energy QCD and Wilson Lines
• Power corrections and renormalons in parton quasi-distributions
• NLO evolution of color dipoles in N=4 SYM
• Parton Distribution Functions from Ioffe Time Pseudodistributions from Lattice Calculations: Approaching the Physical Point
• Superconformal operators in N=4 super-Yang-Mills theory
• Pion distribution amplitude from Euclidean correlation functions
• Gluon Pseudo-Distributions at Short Distances: Forward Case
• Neural-network analysis of Parton Distribution Functions from Ioffe-time pseudodistributions
• Three-point correlator of twist-2 operators in BFKL limit
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• Short-Distance Structure of Unpolarized Gluon Pseudodistributions
• Structure constants of twist-two light-ray operators in the triple Regge limit

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