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Symmetry breaking patterns in 3HDM
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Symmetry breaking patterns in 3HDM
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An attractive feature of New Physics models with multiple Higgs fields is that they are equipped with discrete symmetry groups in the Higgs and flavour sectors. These symmetry groups are often broken at the global minimum of the Higgs potential, either completely or to a proper subgroup, with certain phenomenological consequences. Here, we systematically explore these symmetry breaking patterns in the scalar sector of the three-Higgs-doublet model (3HDM). We use the full list of discrete symmetry groups allowed in 3HDM, and for each group we find all possible ways it can break by the Higgs vacuum expectation value alignment. We also discuss the interplay between these symmetry groups and various forms of CP-violation in the scalar sector of 3HDM. Not only do our results solve the problem for 3HDM, but they also hint at several general features in multi-scalar sectors.
Forward citations
Cited by 6 Pith papers
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Neutrino Masses and Dark Matter Stability in 3HDMs with Minimal Non-Abelian Discrete Symmetries
S3 and D4 3HDMs with an extra singlet RH neutrino realize discrete dark matter plus scoto-seesaw neutrino masses, fitting oscillation data under CP conservation.
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The Hilbert Series and the Flavor Invariants of the 3HDM
The full multigraded Hilbert series of the 3HDM is computed in closed form, and a basis of SU(3)-invariant operators is constructed up to cubic order in the quartic couplings.
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Systematic analysis of 3HDM symmetries
A systematic catalogue of realisable Higgs-family, general-CP, and GOOFy/T-GOOFy symmetries in three-Higgs-doublet models, with new invariant potentials and a corrected U(1)◦V4 group structure.
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Conditions for boundedness from below of a $\Delta(54)$-symmetric three-Higgs-doublet model
The paper conjectures and numerically verifies necessary and sufficient conditions for boundedness from below of the scalar potential in a Δ(54)-symmetric three-Higgs-doublet model using orbit space geometry.
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Domain Walls from $\Sigma(36 \times 3)$, $\Delta(54)$ and $\Delta(27)$ potentials
Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.
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The Hilbert Series and the Flavor Invariants of the 3HDM
Hilbert series for 3HDM global symmetries is computed with explicit invariants constructed up to cubic order.
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