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arXiv · 2409.03609

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

B. Blossier·C. Mezrag·J. M. Morgado Chávez·T. San José
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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 $3~\textrm{GeV}$.

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B. Blossier, C. Mezrag, J. M. Morgado Chávez, T. San José. 2024-09-05. Lattice QCD extraction of the $\eta_{c}$-meson $t$-dependent parton distribution function. https://arxiv.org/abs/2409.03609

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