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arXiv 1105.4560hep-ph
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双回路软修正与Dijet区推力分布的恢复

Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region

Pier Francesco Monni, Thomas Gehrmann, Gionata Luisoni

摘要:

电子正电子湮没中的推力分布是一个经典的精确QCD观测。利用拉普拉斯空间中的重整化群(RG)演化,我们在双射极限下,将数学增强修正重新表示为$T\to 1$到次领先对数(NNLL)精度。我们独立地推导了推力分布的双回路软函数,并提取了NNLL再激励系数$g_3$的解析表达式。为了将固定阶的结果与图解的表达式相结合,我们导出了固定阶NNLO分布的NNLL近似的$\log(R)$ -匹配和$R$ -匹配.

英文摘要:

The thrust distribution in electron-positron annihilation is a classical precision QCD observable. Using renormalization group (RG) evolution in Laplace space, we perform the resummation of logarithmically enhanced corrections in the dijet limit, $T\to 1$ to next-to-next-to-leading logarithmic (NNLL) accuracy. We independently derive the two-loop soft function for the thrust distribution and extract an analytical expression for the NNLL resummation coefficient $g_3$. To combine the resummed expressions with the fixed-order results, we derive the $\log(R)$-matching and $R$-matching of the NNLL approximation to the fixed-order NNLO distribution.

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