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arXiv · 1912.00887

Classifying Accidental Symmetries in Multi-Higgs Doublet Models

Neda Darvishi·Apostolos Pilaftsis
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Abstract

The potential of $n$-Higgs Doublet Models ($n$HDMs) contains a large number of SU(2)$_L$-preserving accidental symmetries as subgroups of the symplectic group Sp(2$n)$. To classify these, we introduce prime invariants and irreducible representations in bilinear field space that enable us to explicitly construct accidentally symmetric $n$HDM potentials. We showcase the classifications of symmetries and present the relationship among the theoretical parameters of the scalar potential for; (i) the Two Higgs Doublet Model (2HDM) and (ii) the Three Higgs Doublet Model (3HDM). We recover the maximum number of $13$ accidental symmetries for the 2HDM potential and for the first time, we present the complete list of $40$ accidental symmetries for the 3HDM potential.

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Neda Darvishi, Apostolos Pilaftsis. 2019-12-02. Classifying Accidental Symmetries in Multi-Higgs Doublet Models. https://doi.org/10.1103/physrevd.101.095008

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