Representation-theoretical characterization of canonical custodial symmetry in NHDM potentials

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-08-05 DOI:10.1016/j.nuclphysb.2024.116650

R. Plantey, M.Aa. Solberg

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引用次数: 0

Abstract

By considering the basis-covariant constituents of N-Higgs-doublet potentials, we derive necessary and sufficient conditions for canonical $SO {(4)}_{C}$ Custodial Symmetry (CS) of potentials with $N > 2$ doublets, based on representation-theoretical and geometrical relations. In essence, our characterization relates the presence of canonical CS to basis-covariant vectors corresponding to particular bases of the defining representation of the orthogonal Lie algebras. For $N = 3, 4$ and 5, the conditions demand little computational effort to be evaluated, and we provide practical algorithms that may be efficiently implemented in a computer program, for deciding whether or not a potential is custodial-symmetric.

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NHDM 势中典型监护对称性的表征理论表征

通过考虑-希格斯双重势的基变成分，我们基于表示理论和几何关系，推导出了双重势的典型保管对称（CS）的必要和充分条件。从本质上讲，我们的表征将典型 CS 的存在与正交李代数定义表示的特定基对应的基变向量联系起来。对于第 5 项和第 6 项，这些条件的评估只需很少的计算量，而且我们还提供了可以在计算机程序中有效实现的实用算法，用于判定一个势是否是托管对称的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.