1-吉普非弹性散射中喷流轴在$O(α_s)$处喷射度
1-jettiness with jet axis at $O(α_s)$ in jeep inelastic scattering
摘要：
针对未来电子-离子对撞机中深度非弹性散射过程的测量，给出了事例形状1-jettiness $τ_1$分布的$O(α_s)$解析预测.结果取决于常规变量$x$和$Q$以及$τ_1$，并且相对紧凑且易于实现用于数值计算。在Breit坐标系中考虑三种不同的轴选择，相对于所述轴测量$τ_1$。第一个是经过最佳调整以最小化$τ_1$的一个，第二个和第三个分别取自用射流半径参数$R$定义的反$k_T$和Centauro射流算法。我们发现，第一个和第二个给出了相同的结果在这个顺序，是独立的$R$，而第三个依赖于半径。这个固定阶的结果提供了一个非奇异的贡献与一个奇异的对数坐标的贡献相结合，以给出$τ_1$空间中的全谱，也显示了如何固定阶和重定区域的变化作为$x$和$Q$的函数。
英文摘要：
We present $O(α_s)$ analytic predictions for event shape 1-jettiness $τ_1$ distribution aiming measurements in deep inelastic scattering process at future Electron Ion Colliders. The result depends on conventional variables $x$ and $Q$ as well as on $τ_1$ and is relatively compact and easy to implement for numerical calculation. Three different choices of axis, with respect to which $τ_1$ is measured are considered in the Breit frame. The first is the one optimally adjusted to minimize $τ_1$ and the second and third are taken from anti-$k_T$ and Centauro jet algorithms defined with a jet radius parameter $R$, respectively. We find that the first and second give the same result at this order and are independent of $R$, while the third depends on the radius. This fixed-order result provides a nonsingular contribution to be combined with a singular log-resummed contribution to give the full spectrum in $τ_1$ space and also shows how fixed-order and resummation regions change as a function of $x$ and $Q$.
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