论文标题
标准模型有效现场理论中的完整尺寸-9操作员
Complete Set of Dimension-9 Operators in the Standard Model Effective Field Theory
论文作者
论文摘要
我们通过基于振幅操作器对应关系的自动算法在标准模型有效场理论中的Dimension 9运算符基础的完整列表。完整的基础（Y-BASIS）首先是通过枚举辅助$ su（n）$组和量规组的Young Young Tableau构建的，并逐步撤消了动作方程和集成均值。在存在重复场的情况下，其中的另一个基础（p-BASI）源自y基础，Y基础源自Y基础，这进一步通过称为De-Amemorkatization的系统过程，进一步诱导独立的单一操作员的基础。我们的运营商的形式比传统的呈现受风味关系限制的运算符的方式具有优势，这是消除风味冗余和识别独立风味的操作员的简单性。我们列出了三（一）一代费米子的90456（560）运算符，所有这些操作员均违反了Baryon数字或Lepton编号保护；其中，我们发现新的违规模式为$ΔB= 2 $和$Δl= 3 $，仅在尺寸上出现$ d \ ge 9 $。
We present a complete and independent list of the dimension 9 operator basis in the Standard Model effective field theory by an automatic algorithm based on the amplitude-operator correspondence. A complete basis (y-basis) is first constructed by enumerating Young tableau of an auxiliary $SU(N)$ group and the gauge groups, with the equation-of-motion and integration-by-part redundancies all removed. In the presence of repeated fields, another basis (p-basis) with explicit flavor symmetries among them is derived from the y-basis, which further induces a basis of independent monomial operators through a systematic process called de-symmetrization. Our form of operators have advantages over the traditional way of presenting operators constrained by flavor relations, in the simplicity of both eliminating flavor redundancies and identifying independent flavor-specified operators. We list the 90456 (560) operators for three (one) generations of fermions, all of which violate baryon number or lepton number conservation; among them we find new violation patterns as $ΔB = 2$ and $ΔL = 3$, which only appear at the dimensions $d \ge 9$.
