论文标题
低能有效现场理论操作员基础$ d \ le 9 $
Low Energy Effective Field Theory Operator Basis at $d \le 9$
论文作者
论文摘要
对于低能量有效场理论（左），我们在质量尺寸5、6、7、8、9处获得完整的操作员群，该理论（左）参数QCD量表和Electroweak量表之间的各种物理效应。我们的算法保证了操作员在运动方程，零件和风味关系方程的独立性，其算法的有效性通过振幅操作器对应关系的概括证明了对左侧的有效性。在Dimension 8和9处，我们列出了35058（756）和704584（3686）运算符，用于由其Baryon和Lepton数字违反$（ΔB，ΔL）$分类的三（一）一代费米子，因为这些操作员是这些操作员的现象学最相关的。
We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the operator basis regarding the equation of motion, integration by parts and flavor relations, is guaranteed by our algorithm, whose validity for the LEFT with massive fermions involved is proved by a generalization of the amplitude-operator correspondence. At dimension 8 and 9, we list the 35058 (756) and 704584 (3686) operators for three (one) generations of fermions categorized by their baryon and lepton number violations $(ΔB, ΔL)$, as these operators are of most phenomenological relevance.
