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arXiv 1801.01637hep-phhep-thnucl-th
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小横动量下的非积分偶极胶子分布

Unintegrated dipole gluon distribution at small transverse momentum

Raktim Abir, Khatiza Banu, Trambak Bhattacharyya, Mariyah Siddiqah, Nahid Vasim

摘要:

在小横动量下,我们得到了非积分色偶极胶子分布函数的解析结果。通过傅立叶变换的$S$ -矩阵的大偶极子,我们得到的结果在一系列的贝尔多项式的形式。有趣的是,当以领先的测井精度对该系列进行建模时,结果显示出与Sudakov形状因子的惊人相似性,其中耦合的作用是由源于沿浸润线的鞍点条件的常数完成的。

英文摘要:

We derive analytical results for unintegrated color dipole gluon distribution function at small transverse momentum. By Fourier transforming the $S$-matrix for large dipoles we derive the results in the form of a series of Bells polynomials. Interestingly, when resumming the series in leading log accuracy, the results showing up striking similarity with the Sudakov form factor with role play of coupling is being done by a constant that stems from the saddle point condition along the saturation line.

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