论文标题

重新点击式扰动QCD的近夜至领先顺序中的非线性方程:领先的扭曲近似

Non-linear equation in the re-summed next-to-leading order of perturbative QCD: the leading twist approximation

论文作者

Contreras, Carlos, Levin, Eugene, Meneses, Rodrigo, Sanhueza, Michael

论文摘要

在本文中,我们使用参考文献中建议的重新点击过程{dimst,salam,salam1,salam2}在NLO中修复BFKL内核。但是,我们提出了一种基于领先的扭曲非线性方程的饱和区域中引入非线性校正的不同方法。 In the kinematic region:$τ\,\equiv\,r^2 Q^2_s(Y)\,\leq\,1$ , where $r$ denotes the size of the dipole, $Y$ its rapidity and $Q_s$ the saturation scale, we found that the re-summation contributes mostly to the leading twist of the BFKL equation.假设散射幅度很小,我们建议使用该区域中的线性演化方程。对于$τ\,> \,1 $,我们正在处理$ \ lb \ bas \,\lnτ\ rb^n $的重新点击,并在NLO近似中进行其他校正。我们在这个动力学区域中找到BFKL内核,并编写非线性方程式,我们可以通过分析进行求解。我们认为,新方程可能是基于CGC方法的一致现象学的基础。

In this paper, we use the re-summation procedure, suggested in Refs.\cite{DIMST,SALAM,SALAM1,SALAM2}, to fix the BFKL kernel in the NLO. However, we suggest a different way to introduce th non-linear corrections in the saturation region, which is based on the leading twist non-linear equation. In the kinematic region:$τ\,\equiv\,r^2 Q^2_s(Y)\,\leq\,1$ , where $r$ denotes the size of the dipole, $Y$ its rapidity and $Q_s$ the saturation scale, we found that the re-summation contributes mostly to the leading twist of the BFKL equation. Assuming that the scattering amplitude is small, we suggest using the linear evolution equation in this region. For $τ\,>\,1$ we are dealing with the re-summation of $\Lb \bas \,\ln τ\Rb^n$ and other corrections in NLO approximation for the leading twist.We find the BFKL kernel in this kinematic region and write the non-linear equation, which we solve analytically. We believe the new equation could be a basis for a consistent phenomenology based on the CGC approach.

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