期刊
PHYSICAL REVIEW D
卷 106, 期 11, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.106.116010
关键词
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资金
- National Key Research and Development Program of China [2020YFC2201501]
- PBC of CHE
- NSF-BSF [2018683]
- ISF [482/20]
- Azrieli foundation
- National Natural Science Foundation of China [12025507, 12150015, 12047503]
- Strategic Priority Research Program
- Key Research Program of Frontier Science of the Chinese Academy of Sciences [XDB21010200, XDB23010000, ZDBS-LY-7003]
- CAS project for Young Scientists in Basic Research [YSBR-006]
This paper solves the long-standing problem of operator basis construction for fields with all masses and spins. It proposes a novel method to systematically construct a complete set of lowest dimensional amplitude bases and presents a matrix projection method for constructing massive amplitude bases involving identical particles.
We solve the long-standing problem of operator basis construction for fields with all masses and spins. Based on the on-shell method, we propose a novel method to systematically construct a complete set of lowest dimensional amplitude bases at any given dimension through semistandard Young tableaus of Lorentz subgroup SU(2)(r) and global symmetry U(N) (N is the number of external legs), which can be directly mapped into physical operator bases. We first construct a complete set of independent monomial bases whose dimension is not the lowest and a redundant set of bases that always contains a complete set of amplitude bases with the lowest dimension. Then we decompose the bases of the redundant set into the complete monomial bases from low to high dimension and eliminate the linear correlation bases. Finally, the bases with the lowest dimension can be picked up. We also propose a matrix projection method to construct the massive amplitude bases involving identical particles. The operator bases of a generic massive effective field theory can be efficiently constructed by the computer programs. A complete set of four-vector operators at dimensions up to six is presented.
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