PoS - Proceedings of Science
Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Strong interactions and Hadron Physics
Pseudo- and quasi-PDFs in the BFKL approximation
G.A. Chirilli
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Pre-published on: December 16, 2022
Published on:
Abstract
To calculate the parton distribution functions (PDF) from first principles using lattice gauge theories
it is convenient to consider the Ioffe-time distribution defined through gauge-invariant bi-local operators with spacelike separation.
Lattice calculations provide values for a limited range of the distance separating the bi-local operators.
In order to perform the Fourier transform and obtain the pseudo- and the quasi-PDFs, it is then necessary
to extrapolate the large-distance behavior.

I will discuss the formalism one may use to study the behavior of
the Ioffe-time distribution at large distances
and show that the pseudo-PDF and quasi-PDF are very different in this regime.
Using light-ray operators, I will also show
that the higher twist corrections of the quasi-PDF come in not as inverse powers of $P$ but
as inverse powers of $x_B P$.
DOI: https://doi.org/10.22323/1.414.0826
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