AI 中文总结
该研究探索多粒子共线极限下散射振幅的严格共线分解机制，通过四圈计算证明两粒子共线极限的约束可推广至多粒子，还推导出含质量色粒子时软反常维的新约束。
AI 中文摘要
散射振幅在软极限、共线极限等特殊运动学极限下具有可分解结构。本工作研究微扰高阶下无质量振幅的多粒子共线极限，重点探索当m个粒子变为共线时，n粒子散射振幅严格共线分解的实现机制。我们通过四圈计算表明，所有两粒子共线极限下严格共线分解对无质量软反常维结构施加的要求，足以保证任意多粒子共线极限下的分解成立。针对包含有质量色粒子的振幅，要求其满足无质量部分子的严格共线分解，我们通过考虑三个无质量粒子的共线极限，推导出软反常维的新约束条件。
英文摘要
Scattering amplitudes admit a factorised structure in special kinematic limits, such as the soft and collinear limits. In this work, we investigate the multi-particle collinear limits of massless amplitudes at high perturbative orders, focusing on the exploration of the mechanisms via which strict collinear factorisation of $n$-particle scattering amplitudes is realised when $m$ particles become collinear. We show through four loops that the requirements on the structure of the massless soft anomalous dimension that are imposed by strict collinear factorisation in all two-particle collinear limits are enough to guarantee factorisation also in any multi-particle collinear limit. Demanding that strict collinear factorisation of massless partons is satisfied also for amplitudes that contain a massive coloured particle, we derive new constraints on the soft anomalous dimension by considering the collinear limit of three massless particles.
Comments4 pages, 2 figures. Contribution to the 2026 QCD session of the 60th Rencontres de Moriond
