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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.05141 |
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| _version_ | 1866914968944771072 |
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| author | Cheng, Chen Huang, Li-Hong Li, Xiang Li, Zheng-Yang Ma, Yan-Qing |
| author_facet | Cheng, Chen Huang, Li-Hong Li, Xiang Li, Zheng-Yang Ma, Yan-Qing |
| contents | We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using this high-order result, we notice a reduction in theoretical uncertainties compared to relying solely on previously known lower-order matching coefficients. Furthermore, based on this result we have extracted the three-loop unpolarized flavor non-singlet splitting function, which is in agreement with the state-of-the-art result. Due to the simplicity of our method, it has the potential to advance the calculation of splitting functions to the desired four-loop order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05141 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quark correlation functions at three-loop order and extraction of splitting functions Cheng, Chen Huang, Li-Hong Li, Xiang Li, Zheng-Yang Ma, Yan-Qing High Energy Physics - Phenomenology High Energy Physics - Lattice We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using this high-order result, we notice a reduction in theoretical uncertainties compared to relying solely on previously known lower-order matching coefficients. Furthermore, based on this result we have extracted the three-loop unpolarized flavor non-singlet splitting function, which is in agreement with the state-of-the-art result. Due to the simplicity of our method, it has the potential to advance the calculation of splitting functions to the desired four-loop order. |
| title | Quark correlation functions at three-loop order and extraction of splitting functions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2410.05141 |