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arXiv 2501.09787hep-ph
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低能EFT与手征拉格朗日量之间的系统spurion匹配

Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian

Chuan-Qiang Song, Hao Sun, Jiang-Hao Yu

AI总结:

本研究提出一种基于单个味SU(3)_V八重态spurion场的系统匹配方法,无需外源即可实现低能有效场论(LEFT)与手征微扰论(ChPT)拉格朗日量的匹配,完成了至9维的算符重新表述与匹配框架构建。

摘要:

强子手征拉格朗日量可通过夸克层面的低能有效场论(LEFT)算符进行匹配。传统上,随着LEFT算符质量维度的升高,手征微扰论(ChPT)中必然会引入越来越多的外源。在本工作中,我们提出了一种系统的匹配程序,该程序仅使用味SU(3)_V八重态的单个spurion场$\boldsymbol{T}$,无需引入外源。我们给出了直至9维的、利用味SU(3)_V对称性重新表述的完整LEFT算符集。同时,ChPT拉格朗日量也采用单个spurion场和轻子场而非外源进行了重新表述。spurion匹配可在具有相同味SU(3)_V与CP结构、相同轻子流的LEFT算符与ChPT算符之间开展,匹配过程在夸克和强子层面使用朴素维度分析。

英文摘要:

The hadronic chiral Lagrangian can be matched from the low energy effective field theory (LEFT) operators at the quark level. Traditionally, as the mass dimension of the LEFT operators increases, more and more external sources are necessarily introduced in the chiral perturbation theory (ChPT). In this work, we present a systematic matching procedure with the single spurion field $\mathbf{T}$ of the flavor $SU(3)_V$ octet, without the need of external sources. We present the complete sets of the LEFT operators, which have been reformulated using the flavor $SU(3)_V$ symmetry up to dimension 9. At the same time, the ChPT Lagrangian is also reformulated using the single spurion and lepton fields, instead of external sources. The spurion matching can be performed between LEFT and ChPT operators with the same flavor $SU(3)_V$ and $CP$ structures, and the same leptonic currents, using the naive dimensional analysis at the quark and hadronic levels.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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