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arXiv · 2412.20461

One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme

Yi-Xian Chen·Jiunn-Wei Chen
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Abstract

The one loop matching kernels between parton distribution functions (PDFs) for parton $i=u,d,s,g$ and their corresponding quasi-PDFs are computed at one loop in the hybrid-ratio scheme. We found that, in addition to the conservation of the quasi-quark number for each flavor, the second moment $\langle x \rangle_{\tilde{i}}=\langle x \rangle_i$ of quasi-PDF of parton $i$ (denoted as $\tilde{i}$) and PDF of parton $i$ is the same in our approach. This is demonstrated numerically using the CTEQ14 global analysis as input.

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Yi-Xian Chen, Jiunn-Wei Chen. 2024-12-29. One-loop Matching Factors for Singlet Quasi-Parton Distribution Functions in the Hybrid-Ratio Scheme. https://doi.org/10.1103/physrevd.111.094512

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