High precision determination of the $Q^2$-evolution of the Bjorken Sum

Abstract

We present a significantly improved determination of the Bjorken Sum for 0.6$\le Q^2\le$4.8 GeV${}^2$ using precise new $g_1^p$ and $g_1^d$ data taken with the CLAS detector at Jefferson Lab. A higher-twist analysis of the $Q^2$-dependence of the Bjorken Sum yields the twist-4 coefficient $f_2^{p-n}=-0.064\pm 0.009{\pm }_{0.036}^{0.032}$. This leads to the color polarizabilities ${\chi }_E^{p-n}=-0.032\pm 0.024$ and ${\chi }_B^{p-n}=0.032\pm 0.013$. The strong force coupling is determined to be $α_{s}^{\overline{\mbox{ MS}}}(M_{Z}^{2})=0.1124\pm0.0061$, which has an uncertainty a factor of 1.5 smaller than earlier estimates using polarized DIS data. This improvement makes the comparison between ${\alpha }_s$ extracted from polarized DIS and other techniques a valuable test of QCD.

arXiv commentPublished in Phys. Rev. D. V1: 8 pages, 3 figures. V2: Updated references; Included threshold matching in α_s evolution. Corrected a typo on the uncertainty for Λ_QCD. V3: Published version

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