Pseudo- and quasi-PDFs in the BFKL approximation

3 May 2022, 09:20
20m
Parallel talk WG2: Small-x, Diffraction and Vector Mesons WG2: Small-x, Diffraction and Vector Mesons

Speaker

Giovanni Antonio Chirilli

Description

To calculate the PDFs from first principles in 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 $x_B P$.

Submitted on behalf of a Collaboration? No

Author

Presentation materials