提取高$p_\perp$粒子能量损失的温度依赖性
Extracting the temperature dependence in high-$p_\perp$ particle energy loss
摘要：
高$p_\perp$粒子的抑制是部分子通过QGP介质时能量损失的主要特征之一，不同的理论模型合理地再现了这种现象。然而，除了其路径长度之外，对某种能量损失机制的可靠性的决定性测试是其温度依赖性。尽管这一问题很重要，也进行了全面的专门研究，但仍有待更严格的限制。为此，我们在$R_{AA}$的基础上，提出了一种新的可观测量来提取高$p_{\perp}$粒子能量损失的温度依赖指数。更重要的是，通过结合分析参数，成熟的数值计算和实验数据的比较，我们认为，这个观察是非常适合测试（和拒绝）长期存在的$ΔE/E \propto L^2 T^3$范式。通过考虑高$p_\perp$区域中$A + A$碰撞中不同的中心对（与核尺寸无关），预期的实验误差的显著减少将允许直接提取温度依赖性。总的来说，我们的研究结果意味着，这反映了潜在的能量损失机制，是非常重要的区分不同的理论模型。
英文摘要：
The suppression of high-$p_\perp$ particles is one of the main signatures of parton energy loss during its passing through the QGP medium, and is reasonably reproduced by different theoretical models. However, a decisive test of the reliability of a certain energy loss mechanism, apart from its path-length, is its temperature dependence. Despite its importance and comprehensive dedicated studies, this issue is still awaiting for more stringent constraints. To this end, we here propose a novel observable to extract temperature dependence exponent of high-$p_{\perp}$ particle's energy loss, based on $R_{AA}$. More importantly, by combining analytical arguments, full-fledged numerical calculations and comparison with experimental data, we argue that this observable is highly suited for testing (and rejecting) the long-standing $ΔE/E \propto L^2 T^3$ paradigm. The anticipated significant reduction of experimental errors will allow direct extraction of temperature dependence, by considering different centrality pair in $A + A$ collisions (irrespective of the nucleus size) in high-$p_\perp$ region. Overall, our results imply that this observable, which reflects the underlying energy loss mechanism, is very important to distinguish between different theoretical models.
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