Title: Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group Show Chinese title

Title: 全赝标介子手征拉格朗日量在p6阶下关于单位群的表达式

Abstract: We construct the full p6 order chiral Lagrangians for the unitary group and special unitary groups, including nf-, three- and two-flavor cases, all bilinear currents (scalar, pseudoscalar, vector, axial-vector and tensor currents) and theta parameter. The number of independent operators are 1391, 1326 and 969 for each of the flavor unitary groups. From these results, we find one extra linear relation among the traditional p4 order low-energy constants under the U(3) group, and some more linear relations with tensor sources for the p6 order low-energy constants in the special unitary groups. We develop a scheme to obtain the relations for the dependent operators in terms of independent operators. Show Chinese abstract

Abstract: 我们为酉群和特殊酉群构建了完整的p6阶手征拉格朗日量，包括nf-、三味和两味情况，所有双线性电流（标量、赝标量、矢量、轴矢量和张量电流）以及theta参数。 每个味酉群的独立算符数量分别为1391、1326和969。 从这些结果中，我们发现在U(3)群下传统p4阶低能常数中存在一个额外的线性关系，并且在特殊酉群的p6阶低能常数中，与张量源有关的一些更多线性关系。 我们开发了一种方案，以独立算符的形式获得依赖算符的关系。