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 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.