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Classifying Accidental Symmetries in Multi-Higgs Doublet Models

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arxiv 1912.00887 v3 pith:ONG3CYMG submitted 2019-12-02 hep-ph

Classifying Accidental Symmetries in Multi-Higgs Doublet Models

Neda Darvishi , Apostolos Pilaftsis This is my paper
classification hep-ph
keywords symmetriesaccidentaldoubletpotentialhiggsmodelmodelsnumber
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 5 Pith papers

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  2. Renormalisation Group Invariants from Scaling and Non-overlapping Symmetries

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