Resumming quark's longitudinal momentum logarithms in LaMET expansion of lattice PDFs

DOI10.1016/J.NUCLPHYSB.2023.116201zbMATH Open1523.81195arXiv2209.01236MaRDI QIDQ6044943

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Publication date: 25 May 2023

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Abstract: In the large-momentum expansion for parton distribution functions (PDFs), the natural physics scale is the longitudinal momentum ($p_z$) of the quarks (or gluons) in a large-momentum hadron. We show how to expose this scale dependence through resumming logarithms of the type $l{n}^n{p}_z/mu$ in the matching coefficient, where $mu$ is a fixed renormalization scale. The result enhances the accuracy of the expansion at moderate $p_z>1$ GeV, and at the same time, clearly shows that the partons cannot be approximated from quarks with $p_{z}simLambd{a}_{mQCD}$ which are not predominantly collinear with the parent hadron momentum, consistent with power counting of the large-momentum effective theory. The same physics mechanism constrains the coordinate space expansion at large distances $z$, the conjugate of $p_z$, as illustrated in the example of fitting the moments of the PDFs.

Full work available at URL: https://arxiv.org/abs/2209.01236

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