Building and testing models with extended Higgs sectors

Abstract

Models with non-minimal Higgs sectors represent a mainstream direction in theoretical exploration of physics opportunities beyond the Standard Model. Extended scalar sectors help alleviate difficulties of the Standard Model and lead to a rich spectrum of characteristic collider signatures and astroparticle consequences. In this review, we introduce the reader to the world of extended Higgs sectors. Not pretending to exhaustively cover the entire body of literature, we walk through a selection of the most popular examples: the two- and multi-Higgs-doublet models, as well as singlet and triplet extensions. We will show how one typically builds models with extended Higgs sectors, describe the main goals and the challenges which arise on the way, and mention some methods to overcome them. We will also describe how such models can be tested, what are the key observables one focuses on, and illustrate the general strategy with a subjective selection of results.

57 pages + 32-page bibliography, 10 figures; invited review for Progress in Particle and Nuclear Physics; v2: minor modifications, extra references

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• Surveying the Scope of the SU(2)_L Scalar Septet Sector
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• Global fits in the Aligned Two-Higgs-Doublet model
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• Search for resonant $WZ$ production in the fully leptonic final state in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
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• Two-Higgs-doublet models in light of current experiments: a brief review
• Flavour Conservation in Two Higgs Doublet Models
• Recognizing symmetries in 3HDM in basis-independent way
• Exotic Gravitational Wave Signatures from Simultaneous Phase Transitions
• Algorithmic Boundedness-From-Below Conditions for Generic Scalar Potentials
• Prospects of gravitational waves in the minimal left-right symmetric model
• Electric dipole moment of ${}^{199}$Hg atom from P, CP-odd electron-nucleon interaction
• Classification of anomaly-free 2HDMs with a gauged U(1)' symmetry
• Unitarity bounds for all symmetry-constrained 3HDMs
• Domain Wall Constraints on Two Higgs Doublet Models with $Z_2$ Symmetry
• $S_3$-inspired three-Higgs-doublet models: A class with a complex vacuum
• Minima of multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Loop counting matters in SMEFT
• Controlled Flavour Changing Neutral Couplings in Two Higgs Doublet Models
• Updated global fit of the aligned two-Higgs-doublet model with heavy scalars
• Current bounds on the Type-Z $Z_3$ three Higgs doublet model
• Yet another lesson on the stability conditions in multi-Higgs potentials
• Three-Higgs-doublet model under A4 symmetry implies alignment
• Common origin of baryon asymmetry, dark matter and neutrino mass
• Basis-invariant conditions for CP symmetry of order 4
• Decays of Higgs Bosons in the Standard Model and Beyond
• Leaks of CP violation in the real two-Higgs doublet model
• Searches for Higgs boson production through decays of heavy resonances
• The three- and four-Higgs couplings in the general two-Higgs-doublet model
• Search for resonant $WZ\to \ell \nu {\ell }^{\prime }{\ell }^{\prime }$ production in proton$-$proton collisions at $\sqrt{\mathbf{s}}=13$ TeV with the ATLAS detector
• Vacuum Induced CP Violation Generating a Complex CKM Matrix with Controlled Scalar FCNC
• DFSZ-Type Axions and Where to Find Them
• Constraints on a 2HDM with a singlet scalar and implications in the search for heavy bosons at the LHC
• Exploring multi-Higgs models with softly broken large discrete symmetry groups
• Spontaneous CP violation in multi-Higgs potentials with triplets of $\Delta (3n^2)$ and $\Delta (6n^2)$
• Electroweak phase transitions in multi-Higgs models: the case of Trinification-inspired THDSM
• Multi-Higgs models with CP symmetries of increasingly high order
• Dark Matter in the Type Ib Seesaw Model
• Symmetry and decoupling in multi Higgs models
• Dark matter and electroweak phase transition in the mixed scalar dark matter model
• Symmetry Constrained Two Higgs Doublet Models
• Renormalization of the C2HDM with FeynMaster 2
• Radiative neutrino masses from order-4 CP symmetry
• Bounded-from-below conditions for $A_4$-symmetric 3HDM
• Higgs Quark Flavor Violation: Simplified Models and Status of General Two-Higgs-Doublet Model
• Search for Singly Charged Higgs in Vector Boson Scattering at the ep Colliders
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• Flavor Changing Neutral Currents in the Higgs Sector
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• The gravitational waves from the collapsing domain walls in the complex singlet model
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