We apply the recently developed formalism by Kosower, Maybee and O’Connell (KMOC) [12] to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in D ≥ 4 dimensions. We use this formalism in conjunction with quantum soft theorems to derive radiative electro-magnetic and gravitational fields in low frequency expansion and upto next to leading order in the coupling. We show that in all dimensions, the classical limit of sub-leading soft (photon and graviton) theorems is consistent with the classical soft theorems proved by Sen et al. in a series of papers. In particular in [11] Saha, Sahoo and Sen proved classical soft theorems for electro-magnetic and gravitational radiation in D = 4 dimensions. For the class of scattering processes that can be analyzed using KMOC formalism, we show that the classical limit of quantum soft theorems is consistent with the D = 4 classical soft theorems, paving the way for their proof from scattering amplitudes.

我们应用由Kosower，梅比和O'Connell（KMOC）[12]最近开发的形式主义分析由颗粒而不自旋发射的软电磁和软引力辐射d≥ 4米的尺寸。我们将这种形式主义与量子软定理结合使用，以导出低频扩展中的电磁场和重力场，并耦合到耦合的最接近先导阶数。我们证明，在所有维度上，次超前软定理（光子和引力子）的经典极限与Sen等人证明的经典软定理是一致的。在一系列论文中。特别是在[11]中，Saha，Sahoo和Sen证明了D中电磁和引力辐射的经典软定理。= 4个维度。对于可以使用KMOC形式主义进行分析的一类散射过程，我们证明了量子软定理的经典极限与D = 4经典软定理是一致的，从而为从散射幅度证明它们奠定了基础。