We obtain an improved determination of the normalization of the leading infrared renormalon of the Bjorken sum rule: $Z_B(n_f=3)=-0.407\pm 0.119$. Estimates of higher order terms of the perturbative series are given. We compute the Bjorken sum rule with hyperasymptotic precision by including the leading terminant, associated with the first infrared renormalon. We fit the experimental data to the operator product expansion theoretical prediction with ${\widehat{f}}_3^{\mathrm{PV}}$ as the free parameter. We obtain a good agreement with the experiment with ${\widehat{f}}_3^{\mathrm{PV}}\times {10}^3=32_{-196}^{+187}{\mathrm{GeV}}^2$ for $Q^2\ge 1{\mathrm{GeV}}^2$.

中文翻译：

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具有超渐近精度的 Bjorken 和规则

我们获得了 Bjorken 和规则的领先红外再归一化的归一化的改进确定：$Z_{乙}(n_F=3)=-0.407\pm 0.119$. 给出了微扰级数的高阶项的估计。我们通过包含与第一个红外重正态相关的前导终止符来计算具有超渐近精度的 Bjorken 和规则。我们将实验数据拟合到算子产品扩展理论预测${\widehat{F}}_3^{\mathrm{光伏}}$作为自由参数。我们与实验获得了很好的一致性${\widehat{F}}_3^{\mathrm{光伏}}\times {10}^3=32_{-196}^{+187}{\mathrm{锗钒}}^2$为了${问}^2\ge 1{\mathrm{锗钒}}^2$.