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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2410.06956 |
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| _version_ | 1866916768241418240 |
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| author | Zhou, Hua Yu, Qing Wu, Xing-Gang |
| author_facet | Zhou, Hua Yu, Qing Wu, Xing-Gang |
| contents | In this paper, we explore the properties of the Ellis-Jaffe Sum Rule (EJSR) by employing the Principle of Maximum Conformality (PMC) approach to address its perturbative part up to next-to-next-to-next-to-leading order ($\rm N^{3}LO$) QCD contributions. By applying the PMC, we achieve a precise perturbative QCD prediction for the EJSR, free from conventional ambiguities associated with the renormalization scale choices. Considering the presence of the $α_s$ Landau pole near the asymptotic scale, we incorporate the low-energy $α_s$ model based on analytic perturbation theory (APT) to refine the EJSR behavior in the infrared region. By combining the PMC approach with the low-energy APT model, the agreement between theoretical calculations and experimental measurements of EJSR is significantly improved, as evidenced by the reduced discrepancy from $χ^{2}/d.o. f|_{\rm Conv.}=1.86$ to $χ^{2}/d.o. f|_{\rm PMC}=1.19$, thereby validating the effectiveness of our approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06956 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Updated Determination of Ellis-Jaffe Sum Rules up to $\rm N^{3}LO$ QCD corrections Zhou, Hua Yu, Qing Wu, Xing-Gang High Energy Physics - Phenomenology In this paper, we explore the properties of the Ellis-Jaffe Sum Rule (EJSR) by employing the Principle of Maximum Conformality (PMC) approach to address its perturbative part up to next-to-next-to-next-to-leading order ($\rm N^{3}LO$) QCD contributions. By applying the PMC, we achieve a precise perturbative QCD prediction for the EJSR, free from conventional ambiguities associated with the renormalization scale choices. Considering the presence of the $α_s$ Landau pole near the asymptotic scale, we incorporate the low-energy $α_s$ model based on analytic perturbation theory (APT) to refine the EJSR behavior in the infrared region. By combining the PMC approach with the low-energy APT model, the agreement between theoretical calculations and experimental measurements of EJSR is significantly improved, as evidenced by the reduced discrepancy from $χ^{2}/d.o. f|_{\rm Conv.}=1.86$ to $χ^{2}/d.o. f|_{\rm PMC}=1.19$, thereby validating the effectiveness of our approach. |
| title | Updated Determination of Ellis-Jaffe Sum Rules up to $\rm N^{3}LO$ QCD corrections |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.06956 |