$\mathcal{O}(α_s^2)$上$e^+e^-$、DIS和$pp$碰撞的半球软函数的相等性
Equality of hemisphere soft functions for $e^+e^-$, DIS and $pp$ collisions at $\mathcal{O}(α_s^2)$
摘要：
本文对$ee$、$ep$和$pp$碰撞中出现在可因子化截面中的软振幅和软函数给出了一个在以前文献中没有明确指出的简单观察，即在$e^+e^-\to$双射流、深度非弹性散射（DIS）和Drell-Yan（DY）过程中出现在事件形状分布中的半球软函数在微扰理论中直到$\mathcal{O}(α_s^2)$都是相等的.即使由于在程函传播器中对于输入线和输出线的变化的复极点规定，各个幅度可能具有相反符号的虚部。我们还探讨了潜在的概括这一观察软功能的其他观测或更多的喷气机在最终状态。
英文摘要：
We present a simple observation about soft amplitudes and soft functions appearing in factorizable cross sections in $ee$, $ep$, and $pp$ collisions that has not clearly been made in previous literature, namely, that the hemisphere soft functions that appear in event shape distributions in $e^+e^-\to$ dijets, deep inelastic scattering (DIS), and in Drell-Yan (DY) processes are equal in perturbation theory up to $\mathcal{O}(α_s^2)$, even though individual amplitudes may have opposite sign imaginary parts due to changing complex pole prescriptions in eikonal propagators for incoming vs. outgoing lines. We also explore potential generalizations of this observation to soft functions for other observables or with more jets in the final state.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
