为所有质量和自旋构造在壳算符基
Constructing on-shell operator basis for all masses and spins
AI总结：
本文提出一种通过将振幅基分解为小群带电与中性两部分、并利用杨图系统构造任意自旋大质量粒子完整在壳算符基的无冗余方法，且可由计算机自动实现。
摘要：
我们首先提出一种一般方法，用于构造包含任意自旋大质量粒子的完整在壳算符基。为了纳入大质量粒子的非阿贝尔小群，在壳散射振幅基应分解为两部分：一部分在大质量粒子小群下带电，另一部分为中性。这两部分的完整集合可以通过分别选择洛伦兹子群和全局对称性 $U(N)$ 的特定杨图来系统构造（$N$ 为外粒子数），且不存在运动方程和分部积分冗余。因此，将这两个完整集合组合，即可得到没有任何冗余的完整大质量振幅基。文中给出若干例子以明确演示该方法。该方法适用于构造包含全同粒子的振幅基，并且所有基都可以基于此方法由计算机程序自动构造。
英文摘要：
We first propose a general method to construct the complete set of on-shell operator bases involving massive particles with any spins. To incorporate the non-abelian little groups of massive particles, the on-shell scattering amplitude basis should be factorized into two parts: one is charged, and the other one is neutral under little groups of massive particles. The complete set of these two parts can be systematically constructed by choosing some specific Young diagrams of Lorentz subgroup and global symmetry $U(N)$ respectively ($N$ is the number of external particles), without the equation of motion and integration by part redundancy. Thus the complete massive amplitude bases without any redundancies can be obtained by combining these two complete sets. Some examples are presented to explicitly demonstrate this method. This method is applicable for constructing amplitude bases involving identical particles, and all the bases can be constructed automatically by computer programs based on it.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
