AI 中文总结
该研究在大质量旋量螺旋度形式体系下,用BCFW递归和KLT关系计算了规范理论与引力中五点康普顿振幅,将相关工作推广到五点,抵消虚假极点,其经典极限有望应用于克尔黑洞双星系统。
AI 中文摘要
我们在大质量旋量螺旋度形式体系中,利用BCFW递归和KLT关系,计算了规范理论和引力中最小耦合自旋物质的树级五点康普顿振幅。结果以对称旋量乘积表示,对一定范围的物质自旋均有效,直接将Arkani-Hamed、Huang和Huang的振幅推广到五点情况。与三点和四点情况不同,每个振幅可表示为两个或更多不同自旋结构的和。虚假极点通过一种机制明显抵消,该机制适用于规范理论中所有大质量自旋s≤1及引力中s≤2的情况。尽管我们保持振幅精确,但其经典极限有望与后闵可夫斯基展开中的克尔黑洞双星系统相关。
英文摘要
We calculate the five-point tree-level Compton amplitudes for minimally coupled spinning matter in gauge theory and gravity in the massive spinor-helicity formalism, using BCFW recursion and KLT relations. The results are written in terms of symmetrized spinor products and are simultaneously valid for a range of matter spins, which directly generalizes the amplitudes of Arkani-Hamed, Huang, and Huang to the five-point case. Unlike the three- and four-point cases, each amplitude can be a sum of two or more distinct spin structures. Spurious poles are manifestly canceled through a mechanism that holds for all massive spins $s\leq 1$ in gauge theory and $s\leq 2$ in gravity. While we keep the amplitudes exact, their classical limits are expected to be relevant for binary systems of Kerr black holes in the post-Minkowskian expansion.
Comments67 pages, 42 figures