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arXiv 1405.4259hep-phhep-th
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O(α_s^3T_F^2)对胶子算符矩阵元的贡献

The O(α_s^3 T_F^2) Contributions to the Gluonic Operator Matrix Element

J. Ablinger, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, M. Round, C. Schneider

摘要:

计算了$O(α_s^3 T_F^2 C_F (C_A))$对与3-循环阶的可变味数方案相关的转移矩阵元素$A_{gg,Q}$的贡献。相应的图形包含两个质量相等的大质量费米子线,导致超出通常的调和和的二项式加权和的逆项。在$x$ -空间中,两个根值字母除了构成调和多项式的字母外,还在迭代积分中起作用。我们概述了计算这种类型的图形所需的技术细节,这在两个不同的内部大规模线路的情况下也很重要。

英文摘要:

The $O(α_s^3 T_F^2 C_F (C_A))$ contributions to the transition matrix element $A_{gg,Q}$ relevant for the variable flavor number scheme at 3--loop order are calculated. The corresponding graphs contain two massive fermion lines of equal mass leading to terms given by inverse binomially weighted sums beyond the usual harmonic sums. In $x$-space two root-valued letters contribute in the iterated integrals in addition to those forming the harmonic polylogarithms. We outline technical details needed in the calculation of graphs of this type, which are as well of importance in the case of two different internal massive lines.

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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