论文标题
在中型诱导的Gluon辐射方面，NNLO的不透明度扩展改善了
Improved opacity expansion at NNLO for medium induced gluon radiation
论文作者
论文摘要
当能量的parton在热且致密的QCD培养基中传播时，它会因弹性散射或中等诱导的Gluon辐射而失去能量。由于LPM效应，GLUON辐射光谱在高频下被抑制，并包含了两个在分析上已知的方案：高频$ω>ω__c= \ hat Q l^2 $，$ \ hat Q $是喷气式运输系数和$ l $由单个介质的频率p.由多个低动量转移主导。在本文中，我们扩展了一种最近的方法（称为改进的不透明度扩展（IOE）），该方法允许在多个软散射近似之外进行分析（和系统的）处理，将此结果与单个硬发射光谱匹配。我们特别在分析和数值上计算了NNLO校正，并表明与表明IOE方案的快速收敛相比，它得到了强烈抑制，因此，我们得出的结论是，在NLO处截断了该系列是足够的。我们还提出了一个处方，以比较GW和HTL电位，并将其参数与未来的现象学作品相关联。
When an energetic parton propagates in a hot and dense QCD medium it loses energy by elastic scatterings or by medium-induced gluon radiation. The gluon radiation spectrum is suppressed at high frequency due to the LPM effect and encompasses two regimes that are known analytically: at high frequencies $ω>ω_c = \hat q L^2$, where $\hat q $ is the jet quenching transport coefficient and $L$ the length of the medium, the spectrum is dominated by a single hard scattering, whereas the regime $ω<ω_c$ is dominated by multiple low momentum transfers. In this paper, we extend a recent approach (dubbed the Improved Opacity Expansion (IOE)), which allows an analytic (and systematic) treatment beyond the multiple soft scattering approximation, matching this result with the single hard emission spectrum. We calculate in particular the NNLO correction analytically and numerically and show that it is strongly suppressed compared to the NLO indicating a fast convergence of the IOE scheme and thus, we conclude that it is sufficient to truncate the series at NLO. We also propose a prescription to compare the GW and the HTL potentials and relate their parameters for future phenomenological works.
