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
Full text: pdf
Pre-published on: December 16, 2022
Published on: June 15, 2023
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
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.