论文标题
事件各向同性作为事件形状可观察到的功效
The Efficacy of Event Isotropy as an Event Shape Observable
论文作者
论文摘要
事件各向异性$ \ MATHCAL {i}^\ text {sph} $，可观察到的事件形状，可观察到最终状态与球形对称状态的距离，是针对远非QCD的新物理信号而设计的。我们使用一种新技术生成各种信号，范围从近场到码头，我们将各向同性的事件与其他可观察物进行比较。我们表明，推力$ t $和$ c $ parameter（和$λ_\ text {max} $，Sphericity矩阵的最大特征值）密切相关，因此是冗余的，与良好的近似值相关。相比之下，事件各向同性添加了大量信息，通常可以打破几乎相同的$ t $和$ c $分布之间的信号之间的脱落。具有$ t $（或$λ_\ text {max} $）和$ \ Mathcal {i}^\ text {sph} $的信号通常具有较窄的分布，并且更容易区分，在$（{\ Mathcal {\ Mathcal {i}^\ text^\ sph {sph}}，$ text $）中。直观的半分析估计技术阐明了为什么是这种情况，并有助于解释分布。
Event isotropy $\mathcal{I}^\text{sph}$, an event shape observable that measures the distance of a final state from a spherically symmetric state, is designed for new physics signals that are far from QCD-like. Using a new technique for producing a wide variety of signals that can range from near-spherical to jetty, we compare event isotropy to other observables. We show that thrust $T$ and the $C$ parameter (and $λ_\text{max}$, the largest eigenvalue of the sphericity matrix) are strongly correlated and thus redundant, to a good approximation. By contrast, event isotropy adds considerable information, often serving to break degeneracies between signals that would have almost identical $T$ and $C$ distributions. Signals with broad distributions in $T$ (or $λ_\text{max}$) and in $\mathcal{I}^\text{sph}$ separately often have much narrower distributions, and are more easily distinguished, in the $({\mathcal{I}^\text{sph}},λ_\text{max})$ plane. An intuitive, semi-analytic estimation technique clarifies why this is the case and assists with the interpretation of the distributions.
