Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections

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 (N3LO) QCD contributions. By applying the PMC, we achieve a precise perturbative...

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Main Authors: Hua Zhou, Qing Yu, Xing-Gang Wu
Format: Article
Language:English
Published: Elsevier 2025-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269325003715
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author Hua Zhou
Qing Yu
Xing-Gang Wu
author_facet Hua Zhou
Qing Yu
Xing-Gang Wu
author_sort Hua Zhou
collection DOAJ
description 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 (N3LO) 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 αs Landau pole near the asymptotic scale, we incorporate the low-energy αs 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 χ2/d.o.f|Conv.=1.86 to χ2/d.o.f|PMC=1.19, thereby validating the effectiveness of our approach.
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spelling doaj-art-e9cf89f0ec004e05b9e5bfa167a34d1c2025-08-20T03:22:23ZengElsevierPhysics Letters B0370-26932025-08-0186713961010.1016/j.physletb.2025.139610Updated determination of Ellis-Jaffe sum rules up to N3LO QCD correctionsHua Zhou0Qing Yu1Xing-Gang Wu2School of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaSchool of Mathematics and Physics, Southwest University of Science and Technology, Mianyang 621010, ChinaDepartment of Physics, Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing University, Chongqing 401331, China; Corresponding author.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 (N3LO) 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 αs Landau pole near the asymptotic scale, we incorporate the low-energy αs 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 χ2/d.o.f|Conv.=1.86 to χ2/d.o.f|PMC=1.19, thereby validating the effectiveness of our approach.http://www.sciencedirect.com/science/article/pii/S0370269325003715
spellingShingle Hua Zhou
Qing Yu
Xing-Gang Wu
Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
Physics Letters B
title Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
title_full Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
title_fullStr Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
title_full_unstemmed Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
title_short Updated determination of Ellis-Jaffe sum rules up to N3LO QCD corrections
title_sort updated determination of ellis jaffe sum rules up to n3lo qcd corrections
url http://www.sciencedirect.com/science/article/pii/S0370269325003715
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