标题： 软引力子的双拷贝结构 显示英文标题

标题： The Double Copy Structure of Soft Gravitons

摘要： 非阿贝尔规范理论和引力中软制动辐射的因子化定理的次级修正在四个标量的五点振幅情况下被研究。 在最近结果的基础上，我们将角动量算符作用于散射振幅的方式写成关于Mandelstam不变量的导数，以揭示软引力子对振幅的贡献中的双重复制结构，包括主导项和第一修正项。 使用我们的方法，我们研究了Lipatov将Gribov定理扩展到非阿贝尔规范理论和引力的情况，并发现次级修正可以通过去掉关于质心系能量导数的项来从Low定理的修正中获得，这些项在高能下被抑制。 在这种情况下，发射的引力子不一定是软的。 显示英文摘要

摘要： The subleading corrections to factorization theorems for soft bremsstrahlung in nonabelian gauge theories and gravity are investigated in the case of a five point amplitude with four scalars. Building on recent results, we write the action of the angular momentum operators on scattering amplitudes as derivatives with respect to the Mandelstam invariants to uncover a double copy structure in the contribution of the soft graviton to the amplitude, both in the leading term and the first correction. Using our approach, we study Gribov's theorem as extended to nonabelian gauge theories and gravity by Lipatov, and find that subleading corrections can be obtained from those to Low's theorem by dropping the terms with derivatives with respect to the center-of-mass energy, which are suppressed at high energies. In this case, the emitted gravitons are not necessarily soft.