Scalar sector of Two-Higgs-Doublet models: A mini-review

Abstract

A vast literature on the theory and phenomenology of Two-Higgs-Doublet models (2HDM) exists since long. However, the present situation demands a revisit of some 2HDM properties. Now that a 125 GeV scalar resonance has been discovered at the LHC, with its couplings to other particles showing increasing affinity to the Standard Model Higgs-like behavior, the 2HDM parameter space is more squeezed than ever. We briefly review the different parametrizations of the 2HDM potential and discuss the constraints on the parameter space arising from the unitarity and stability of the potential together with constraints from the oblique electroweak $T$-parameter. We also differentiate the consequences of imposing a global continuous U(1) symmetry on the potential from a discrete $Z_2$ symmetry.

18 pages; Invited Review to be published in a special issue (theme `Higgs') of PRAMANA

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• Sub-TeV Singlet Scalar Dark Matter and Electroweak Vacuum Stability with Vector Like Fermions
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• Generalized 2HDM with wrong-sign lepton Yukawa coupling, in light of $g_{\mu }-2$ and lepton flavor violation at the future LHC
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• Probing the Higgs boson through Yukawa force
• A search for heavy Higgs bosons decaying into vector bosons in same-sign two-lepton final states in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
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• Fireball baryogenesis from early structure formation due to Yukawa forces
• Relating the Cabibbo angle to $\tan \beta$ in a two Higgs-doublet model
• Phenomenology of an Extended $1+2$ Higgs Doublet Model with $S_3$ Family Symmetry
• Explaining 95 GeV Anomalies in the 2-Higgs Doublet Model Type-I
• Phenomenology of extended multiHiggs doublet models with $S_4$ family symmetry
• Phenomenological and cosmological implications of a scotogenic three-loop neutrino mass model
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