论文标题
Bjorken Sum规则具有高压精度
Bjorken sum rule with hyperasymptotic precision
论文作者
论文摘要
我们获得了Bjorken Sum规则的领先红外肾上腺素的归一化的改进确定：$ z_b（n_f = 3）= -0.407 \ pm 0.119 $。给出了扰动系列的高阶术语的估计。我们通过包括与第一个红外肾上腺龙有关的领先终端来计算Bjorken和Hyperymptotic精度。我们将实验数据与$ \ hat f_ {3}^{\ rm pv} $作为免费参数拟合到运算符产品扩展理论预测。我们与$ \ hat f_ {3}^{\ rm pv} \ times 10^3 = 32^{+187} _ { - 196} \; {\ rm gev}^2} $ for $ q^2 \ geeq 1 $ gev $^2 $。
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 $\hat f_{3}^{\rm PV}$ as the free parameter. We obtain a good agreement with the experiment with $\hat f_{3}^{\rm PV}\times 10^3=32^{+187}_{-196}\;{\rm GeV}^{2}$ for $Q^2 \geq 1$ GeV$^2$.
