论文标题
软件或带有大型纺纱器的递归
Soft Matters, or the Recursions with Massive Spinors
论文作者
论文摘要
我们讨论了用任何自旋的巨大颗粒散射幅度的递归关系。它们是通过Momenta的两参数移动来得出的，将BCFW型旋转器移动与该过程中无数粒子的软限制相结合。技术创新是，对应于大型动量的旋转器也发生了变化。我们的递归导致对软定理的重新制定。众所周知的温伯格的软因素被恢复了，此外，转向的因素似乎是重塑的，使得它们直接适用于现代壳语中的大量幅度。此外，我们在大规模物质与光子和重力子的非最小相互作用的背景下获得了新的结果。这些软定理用于康普顿和更高点散射的实际计算。作为一种副产品，我们引入了任何质量和自旋的康普顿散射幅度的方便表示。
We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in the process. The technical innovation is that spinors corresponding to massive momenta are also shifted. Our recursions lead to a reformulation of the soft theorems. The well-known Weinberg's soft factors are recovered and, in addition, the subleading factors appear reshaped such that they are directly applicable to massive amplitudes in the modern on-shell language. Moreover, we obtain new results in the context of non-minimal interactions of massive matter with photons and gravitons. These soft theorems are employed for practical calculations of Compton and higher-point scattering. As a by-product, we introduce a convenient representation of the Compton scattering amplitude for any mass and spin.
