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Zero modes and matching for the twist-3 PDFs

by Shohini Bhattacharya, Krzysztof Cichy, Martha Constantinou, Andreas Metz, Aurora Scapellato, Fernanda Steffens

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Submission summary

Authors (as registered SciPost users): Shohini Bhattacharya
Submission information
Preprint Link: scipost_202107_00074v1  (pdf)
Date accepted: 2022-03-23
Date submitted: 2021-07-28 16:20
Submitted by: Bhattacharya, Shohini
Submitted to: SciPost Physics Proceedings
Proceedings issue: 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021)
Ontological classification
Academic field: Physics
Specialties:
  • Nuclear Physics - Theory

Abstract

The quasi-PDF approach, proposed by X. Ji in 2013, has made it possible to directly extract light-cone PDFs from lattice QCD. This approach relies on the extraction of matrix elements of space-like operators for fast-moving hadrons. Quasi-PDFs can be related to the light-cone PDFs through a perturbatively calculable matching coefficient. We explore the formalism of matching, for the very first time, for the twist-3 PDFs $g_{T}(x)$, $e(x)$ and $h_{L}(x)$. In this work, we address the non-trivialities involved in the extraction of the matching coefficient due to the presence of (singular) zero-mode contributions.

Published as SciPost Phys. Proc. 8, 056 (2022)

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Comments

Anonymous on 2022-02-07  [id 2166]

I recommend publication without any modification.