Non-local Nucleon Matrix Elements in the Rest Frame
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916765122953216 |
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| author | Karpie, Joe Monahan, Christopher Radyushkin, Anatoly |
| author_facet | Karpie, Joe Monahan, Christopher Radyushkin, Anatoly |
| contents | Extracting parton structure from lattice quantum chromodynamics (QCD) calculations requires studying the coordinate scale $z_3$ dependence of the matrix elements of bilocal operators. The most significant contribution comes from the $z_3$ dependence induced by ultraviolet (UV) renormalization of the Wilson line. We demonstrate that the next-to-leading order perturbative calculations of the renormalization factor can describe, to a few percent accuracy, the logarithm of the lattice QCD rest frame matrix elements with separations up to distances of 0.6~fm on multiple lattice spacings. The residual discrepancies can be modeled by a leading effect from the structure of the nucleon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16577 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-local Nucleon Matrix Elements in the Rest Frame Karpie, Joe Monahan, Christopher Radyushkin, Anatoly High Energy Physics - Lattice Extracting parton structure from lattice quantum chromodynamics (QCD) calculations requires studying the coordinate scale $z_3$ dependence of the matrix elements of bilocal operators. The most significant contribution comes from the $z_3$ dependence induced by ultraviolet (UV) renormalization of the Wilson line. We demonstrate that the next-to-leading order perturbative calculations of the renormalization factor can describe, to a few percent accuracy, the logarithm of the lattice QCD rest frame matrix elements with separations up to distances of 0.6~fm on multiple lattice spacings. The residual discrepancies can be modeled by a leading effect from the structure of the nucleon. |
| title | Non-local Nucleon Matrix Elements in the Rest Frame |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2407.16577 |