论文标题
标准模型有效现场理论中的一组Dimension-8 Green的基础操作员
A Complete Set of the Dimension-8 Green's Basis Operators in the Standard Model Effective Field Theory
论文作者
论文摘要
我们提出了标准模型有效场理论（SMEFT）中Dimension 8运算符的完整且独立的外壳基础。我们提出了一个非壳振幅形式主义，使这种新型振幅与携带各种冗余的普通运营商有一对一的信件。这种形式主义的优点是，可以通过脱壳旋转器明确配制各种裁员，因此可以从详尽的脱壳幅度列表中系统地删除。按照这样的程序，可以将冗余运算符简化为具有唯一冗余的运动方程式（绿色基础）的冗余。我们发现有（993+1649）独立（壳+壳）用于一代费米子，而（44807+66197）在维度8上为三代人提供了（44807+66197）。可以应用此系统方法以在任何质量维度上用于一般质量维度。
We present a complete and independent off-shell Green's basis of the dimension 8 operators in the Standard Model effective field theory (SMEFT). We propose an off-shell amplitude formalism such that this new kind of amplitudes has a one-to-one correspondence to general operators carrying all kinds of redundancies. The advantage of such formalism is that all kinds of redundancies can be formulated explicitly in terms of the off-shell spinors and thus be removed systematically from the exhaustive list of the general off-shell amplitudes. Following such procedure, redundant operators can be reduced to the ones with the only redundancy from the equation of motion kept, the Green's basis. We find there are (993+1649) independent (on-shell + off-shell) operators for one generation of fermions and (44807+66197) ones for three generations at the dimension 8. This systematic method can be applied to obtain the Green's basis at any mass dimension for general EFTs.
