Constructing generic effective field theory for all masses and spins

We solve the long-standing problem of operator basis construction for fields with all masses and spins. Based on on-shell method, we propose a novel method to systematically construct complete set lowest dimensional amplitude bases at any given dimension through semistandard Young tableaus Lorentz subgroup $SU(2{)}_{r}$ global symmetry $U(N)$ ($N$ is number external legs), which can be directly mapped into physical bases. first independent monomial whose not redundant that always contains dimension. Then decompose from low high eliminate linear correlation Finally, picked up. also matrix projection massive involving identical particles. The generic effective field theory efficiently constructed by computer programs. A four-vector operators dimensions up six presented.