通过区域方法研究类空共线散射
Spacelike-Collinear Scattering by the Method of Regions
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中文总结 AI 辅助
该研究用区域方法研究规范理论散射振幅的类空共线极限，发现分裂振幅违反共线因子分解且从两圈起有运动学依赖性，源于独特隐藏区域，还开发算法识别隐藏区域并应用于超杨 - 米尔斯理论，解释了威尔逊线计算的普遍性。
中文摘要 AI 辅助
我们使用区域方法研究规范理论散射振幅的类空共线极限。相应的分裂振幅由于依赖于非共线部分子而违反严格的共线因子分解。虽然相关的颜色依赖性早已为人所知，但从两圈开始，分裂振幅也获得了对其运动学的依赖性。我们表明这种运动学依赖性源于类空共线极限下五点振幅渐近展开中存在的一个独特隐藏区域，而在类时极限中不存在。更一般地，我们提出隐藏区域提供了与交叉相关的渐近极限不再解析连接的机制。我们开发了一种用于系统识别隐藏区域的通用算法。将其应用于超杨 - 米尔斯理论中的五点振幅，我们计算了隐藏区域对完整基积分集的贡献，并恢复了精确的运动学相关的违反因子分解的分裂振幅。在动量空间中，隐藏区域由软和格劳伯圈动量表征。这解释了为什么威尔逊线计算捕捉了完整的运动学依赖性，从而说明了观察到的规范理论间的普遍性。
英文摘要
We study the spacelike-collinear limit of gauge-theory scattering amplitudes using the Method of Regions. The corresponding splitting amplitude violates strict collinear factorisation through its dependence on the non-collinear partons. While the associated colour dependence has long been known, starting at two loops the splitting amplitude also acquires dependence on their kinematics. We show that this kinematic dependence originates from a unique hidden region present in the asymptotic expansion of the five-point amplitude in the spacelike-collinear limit, but absent in the timelike limit. More generally, we propose that hidden regions provide the mechanism by which crossing-related asymptotic limits cease to be analytically connected. We develop a general algorithm for the systematic identification of hidden regions. Applying it to the five-point amplitude in super Yang-Mills theory, we compute the hidden-region contributions to the complete set of basis integrals and recover the exact kinematically dependent factorisation-violating splitting amplitude. In momentum space, the hidden region is characterised by soft and Glauber loop momenta. This explains why the Wilson-line calculation captures the complete kinematic dependence, thereby accounting for the observed universality across gauge theories.
