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北美退伍军人节(Veterans Day),12 日无更新
arXiv 2006.01267hep-ph
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Regge极限下的两部分子散射振幅

Two-parton scattering amplitudes in the Regge limit to high loop orders

Simon Caron-Huot, Einan Gardi, Joscha Reichel, Leonardo Vernazza

摘要:

通过迭代求解BFKL方程,研究了微扰QCD高能极限下的二对二部分子散射振幅。这允许我们预测任意$t$通道颜色交换的幅度的虚部到前导对数阶。我们计算的修正对应于梯形图与任何数量的梯级之间形成的两个Reggeized胶子。我们的方法利用分离的两个Reggeon波函数,直接在动量空间中进行,软区域和通用(硬)区域之间。波函数的前一个分量导致振幅的红外发散,因此在维度正则化中计算;后者直接在两个横向维度中计算,并以均匀权重的单值调和多项式表示。通过结合这两个,我们准确地确定红外发散和有限的贡献,两个到两个散射振幅订单订单的微扰理论。我们研究的结果数值13圈,发现有限的振幅校正有一个有限的收敛半径,这取决于颜色表示的$t$通道交换。

英文摘要:

We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary $t$-channel colour exchange. The corrections we compute correspond to ladder diagrams with any number of rungs formed between two Reggeized gluons. Our approach exploits a separation of the two-Reggeon wavefunction, performed directly in momentum space, between a soft region and a generic (hard) region. The former component of the wavefunction leads to infrared divergences in the amplitude and is therefore computed in dimensional regularization; the latter is computed directly in two transverse dimensions and is expressed in terms of single-valued harmonic polylogarithms of uniform weight. By combining the two we determine exactly both infrared-divergent and finite contributions to the two-to-two scattering amplitude order-by-order in perturbation theory. We study the result numerically to 13 loops and find that finite corrections to the amplitude have a finite radius of convergence which depends on the colour representation of the $t$-channel exchange.

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