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arXiv 0911.3015hep-ph
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重味对$O(α_s^3)$上PDKEEPAAA结构函数的贡献

Heavy Flavor Contributions to DIS Structure Functions at $O(α_s^3)$

Isabella Bierenbaum, Johannes Blümlein, Sebastian Klein

摘要:

计算了$O(α_s^3)$重味对结构函数$F_2(x,Q^2)$在区域$Q^2\gg m^2$中Wilson系数的贡献的矩。将质量算子矩阵元(OME)与已知的光味Wilson系数卷积,得到质量Wilson系数。大质量OME的矩的计算涉及到第一次独立的重新计算的费米子的贡献的所有3-loop异常尺寸的非偏振扭曲-2本地复合运营商源于光锥膨胀的时刻。大质量OME的表达式现在已知梅林变量$N$的一般值,除了常数项中的一个系数,仅计算一系列矩。

英文摘要:

We calculate moments of the $O(α_s^3)$ heavy flavor contributions to the Wilson coefficients of the structure function $F_2(x,Q^2)$ in the region $Q^2\gg m^2$. The massive Wilson coefficients are obtained as convolutions of massive operator matrix elements (OMEs) and the known light flavor Wilson coefficients. The calculation of moments of the massive OMEs involves a first independent recalculation of moments of the fermionic contributions to all 3--loop anomalous dimensions of the unpolarized twist--2 local composite operators stemming from the light--cone expansion. The expressions for the massive OMEs are now known for general values of the Mellin variable $N$ apart of one coefficient in the constant term, for which only a series of moments is computed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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