The calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)$
The calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)$
复制标题
二环自旋分裂函数$P_{ij}^{(1)}(x)$的计算
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
W. Neerven
中科院分区：
文献类型：
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作者：
R. Mertig;W. Neerven
我们给出了两圈自旋分裂函数$P_{ij}^{(1)}(X)(i，j=q，g)的计算，这些函数构成了次前级修正的自旋结构函数g1(x，q2)。在${⩈ERLINE{⤪MS}}$格式中给出的这些分裂函数是从$←PHA_{S}^{2}$对反常维度$αMMA_{ij}^{m}(i，j=q，g)$的贡献得到的。后者对应于出现在两个电磁电流的算符乘积展开中的局部算符。我们将讨论反常维度的一些性质。特别是，我们的发现与超对称关系$αmma_{qq}^{m}+αmma_{gq}^{m}-αmma_{qg}^{m}-αmma_{gg}^{m}=0$一直到$←α_{S}^{2}$是一致的。
We present the calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)(i,j=q,g)$ contributing to the next-to-leading order corrected spin structure function g1 (x, Q2). These splitting functions, which are presented in the ${⩈erline {⤪ MS}}$ scheme, are derived from the order $←pha_{s}^{2}$ contribution to the anomalous dimensions $αmma_{ij}^{m}(i,j=q,g)$. The latter correspond to the local operators which appear in the operator product expansion of two electromagnetic currents. Some of the properties of the anomalous dimensions will be discussed. In particular our findings are in agreement with the supersymmetric relation $αmma_{qq}^{m}+αmma_{gq}^{m}-αmma_{qg}^{m}-αmma_{gg}^{m}=0$ up to order $←pha_{s}^{2}$.