论文标题
$ o（α_s^2 $）两极分化的重型风味校正}到$ q^2 \ gg m^2 $的深弹性散射
$O(α_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2 \gg m^2$
论文作者
论文摘要
We calculate the quarkonic $O(α_s^2)$ massive operator matrix elements $ΔA_{Qg}(N), ΔA_{Qq}^{\rm PS}(N)$ and $ΔA_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators and the associated heavy flavor Wilson coefficients in polarized deeply在包含在包含的重型风味的情况下，该地区的非弹性散射$ q^2 \ gg m^2 $ to $ o（\ varepsilon）$。评估是在Mellin空间中进行的，而无需应用按零件的集成方法。结果是根据谐波总和给出的。这导致了该区域中运算符矩阵元素的显着压缩和大量的威尔逊系数，$ q^2 \ gg m^2 $先前在\ cite {buza2}中衍生而成的，我们部分确认，也部分正确。结果允许确定$ g_1（x，q^2）$ to $ o（α_s^2）$的重型风味wilson系数，除了抑制功率的项$ \ propto（m^2/q^2）^k，k \ geq 1 $。还提出了动量分数$ z $ - 空间的结果。我们还讨论了极化情况下的小$ x $效果。提出了数值结果。我们还计算了两种质量可变的风味数字方案中的Gluonic匹配系数为$ O（\ Varepsilon）$。
We calculate the quarkonic $O(α_s^2)$ massive operator matrix elements $ΔA_{Qg}(N), ΔA_{Qq}^{\rm PS}(N)$ and $ΔA_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators and the associated heavy flavor Wilson coefficients in polarized deeply inelastic scattering in the region $Q^2 \gg m^2$ to $O(\varepsilon)$ in the case of the inclusive heavy flavor contributions. The evaluation is performed in Mellin space, without applying the integration-by-parts method. The result is given in terms of harmonic sums. This leads to a significant compactification of the operator matrix elements and massive Wilson coefficients in the region $Q^2 \gg m^2$ derived previously in \cite{BUZA2}, which we partly confirm, and also partly correct. The results allow to determine the heavy flavor Wilson coefficients for $g_1(x,Q^2)$ to $O(α_s^2)$ for all but the power suppressed terms $\propto (m^2/Q^2)^k, k \geq 1$. The results in momentum fraction $z$-space are also presented. We also discuss the small $x$ effects in the polarized case. Numerical results are presented. We also compute the gluonic matching coefficients in the two--mass variable flavor number scheme to $O(\varepsilon)$.
