Lattice QCD extraction of the $\eta_{c}$-meson $t$-dependent parton distribution function

TL;DR

This paper uses lattice QCD and the pseudo-distribution approach to extract the $t$-dependent valence quark distribution in the $ ext{eta}_c$ meson, providing a model-independent method and new numerical results.

Contribution

It introduces a novel, model-independent method for extracting $t$-dependent parton distributions from lattice QCD using the pseudo-distribution formalism.

Findings

Computed the $t$-dependent valence quark distribution in $ ext{eta}_c$ at 3 GeV

Proposed a model-independent extraction method based on Ioffe-time distributions

Presented numerical results for the $ ext{eta}_c$ meson at a specific scale

Abstract

The formalism of short-distance factorization, conveyed through the pseudo-distribution approach, connects space-like and light-cone correlators and thus allows for the extraction in lattice QCD of a number of parton distributions. We compute the $t$-dependent parton distribution function of valence quarks in a $\eta_{c}$-meson. After reviewing the main ideas behind the pseudo-distribution formalism, and relying on the analytic structure of Ioffe-time distributions, we come up with a proposal for a model-independent extraction of $t$-dependent parton distribution functions. We present results for the $\eta_{c}$-meson Ioffe time valence $t$-dependent parton distribution function at a renormalization scale of $3~\textrm{GeV}$.