论文标题
深度无弹性结构功能的无质量的三环威尔逊系数$ f_2，f_l，xf_3 $和$ g_1 $
The massless three-loop Wilson coefficients for the deep-inelastic structure functions $F_2, F_L, xF_3$ and $g_1$
论文作者
论文摘要
我们计算了无质量的非脱脂化系数，以实现结构功能的深度非弹性散射$ f_2（x，q^2），f_l（x，q^2），x f_3（x，q^2）$ in $ \ operline {\ sf ms} $方案{\ sf sf方案和$ g_1 $ g_1 $ g_1（x）$ g_1（x）根据任意高梅林矩的方法，以完全自动化的方式在QCD中订购。在贡献轴向轴耦合或极化核子的情况下，我们在拉林方案中工作。对于非极化结构函数，我们将文献中给出的结果进行比较。首次计算了极化的三环威尔逊系数。作为一个产品，我们还从$ o（1/\ varepsilon）$的Quarkonic三 - Quarkonic三个尺寸获得了单位化的前向Compton振幅的术语。提供了Bjorken变量$ x $的大小值的扩展。
We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions $F_2(x,Q^2), F_L(x,Q^2), x F_3(x,Q^2)$ in the $\overline{\sf MS}$ scheme and the polarized Wilson coefficients of the structure function $g_1(x,Q^2)$ in the Larin scheme up to three--loop order in QCD in a fully automated way based on the method of arbitrary high Mellin moments. We work in the Larin scheme in the case of contributing axial--vector couplings or polarized nucleons. For the unpolarized structure functions we compare to results given in the literature. The polarized three--loop Wilson coefficients are calculated for the first time. As a by--product we also obtain the quarkonic three--loop anomalous dimensions from the $O(1/\varepsilon)$ terms of the unrenormalized forward Compton amplitude. Expansions for small and large values of the Bjorken variable $x$ are provided.
