The Geometric Picture of Generalized-Cp and Higgs-Family Transformations in the Two-Higgs-Doublet Model

Ferreira, P. M.; Haber, Howard E.; Maniatis, Markos; Nachtmann, Otto; Silva, Joao

doi:10.1142/s0217751x11051494

Cited by 58 publications

(94 citation statements)

References 81 publications

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“…Ferreira, Haber, and Silva [386] have proved that i) except for the class VI potential, all other five classes of potentials can be obtained through multiple applications of HF symmetries; ii) one can obtain all six classes of scalar potentials through multiple applications of the standard CP symmetry in different bases. An interesting geometric interpretation of these properties is presented in [398].…”

Section: Cp Symmetriesmentioning

confidence: 99%

Theory and phenomenology of two-Higgs-doublet models

et al. 2012

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We discuss theoretical and phenomenological aspects of two-Higgs-doublet extensions of the Standard Model. In general, these extensions have scalar mediated flavour changing neutral currents which are strongly constrained by experiment. Various strategies are discussed to control these flavour changing scalar currents and their phenomenological consequences are analysed. In particular, scenarios with natural flavour conservation are investigated, including the so-called type I and type * E-mail: gbranco@ist.utl.pt † E-mail: ferreira@cii.fc.ul.pt ‡ E-mail: balio@cftp.ist.utl.pt § E-mail: rebelo@ist.utl.pt ¶ E-mail: mtsher@wm.edu E-mail: jpsilva@cftp.ist.utl.pt 1 II models as well as lepton-specific and inert models. Type III models are then discussed, where scalar flavour changing neutral currents are present at tree level, but are suppressed by either specific ansatze for the Yukawa couplings or by the introduction of family symmetries leading to a natural suppression mechanism. We also consider the phenomenology of charged scalars in these models. Next we turn to the role of symmetries in the scalar sector. We discuss the six symmetry-constrained scalar potentials and their extension into the fermion sector. The vacuum structure of the scalar potential is analysed, including a study of the vacuum stability conditions on the potential and the renormalization-group improvement of these conditions is also presented. The stability of the tree level minimum of the scalar potential in connection with electric charge conservation and its behaviour under CP is analysed. The question of CP violation is addressed in detail, including the cases of explicit CP violation and spontaneous CP violation. We present a detailed study of weak basis invariants which are odd under CP. These invariants allow for the possibility of studying the CP properties of any two-Higgs-doublet model in an arbitrary Higgs basis. A careful study of spontaneous CP violation is presented, including an analysis of the conditions which have to be satisfied in order for a vacuum to violate CP. We present minimal models of CP violation where the vacuum phase is sufficient to generate a complex CKM matrix, which is at present a requirement for any realistic model of spontaneous CP violation.

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Section: Cp Symmetriesmentioning

confidence: 99%

Theory and phenomenology of two-Higgs-doublet models

et al. 2012

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“…The space of electroweak-gauge orbits of Higgs fields (the orbit space) was first represented via bilinears for 2HDMs, [31][32][33][34][35][36][37], and then extended to N doublets in [13].…”

Section: B Orbit Spacementioning

confidence: 99%

Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses

Keus

King

Moretti

2014

J. High Energ. Phys.

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We catalogue and study three-Higgs-doublet models in terms of all possible allowed symmetries (continuous and discrete, Abelian and non-Abelian), where such symmetries may be identified as flavour symmetries of quarks and leptons. We analyse the potential in each case, and derive the conditions under which the vacuum alignments (0, 0, v), (0, v, v) and (v, v, v) are minima of the potential. For the alignment (0, 0, v), relevant for dark matter models, we calculate the corresponding physical Higgs boson mass spectrum. Motivated by supersymmetry, we extend the analysis to the case of three up-type Higgs doublets and three down-type Higgs doublets (six doublets in total). Many of the results are also applicable to flavon models where the three Higgs doublets are replaced by three electroweak singlets.

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“…For a review of the bilinear formalism and its relation to the conventional field approach as well as the generalised CP transformations we refer to [10]. There, also an extensive list of references is given.…”

Section: The Maximally Cp-symmetric Modelmentioning

confidence: 99%

“…The potential (11) of this model is, besides the point reflection symmetry of type (i), invariant under three GCPs of type (ii); see (9), (10). Requiring also the Yukawa couplings to respect these four GCPs, it was found in [11] that at least two fermion families are necessary in order to have non-vanishing fermion masses.…”

Section: The Maximally Cp-symmetric Modelmentioning

confidence: 99%

Towards testing a two-Higgs-doublet model with maximal CP symmetry at the LHC: Monte Carlo event generator implementation

et al. 2013

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A Monte Carlo event generator is implemented for a two-Higgs-doublet model with maximal CP symmetry, the MCPM. The model contains five physical Higgs bosons; the ρ , behaving similarly to the standard-model Higgs boson, two extra neutral bosons h and h , and a charged pair H ± . The special feature of the MCPM is that, concerning the Yukawa couplings, the bosons h , h and H ± couple directly only to the second-generation fermions but with strengths given by the third-generation-fermion masses. Our event generator allows the simulation of the Drell-Yan-type production processes of h , h and H ± in proton-proton collisions at LHC energies. Also the subsequent leptonic decays of these bosons into the μ + μ − , μ + ν μ and μ −ν μ channels are studied as well as the dominant background processes. We estimate the integrated luminosities needed in pp collisions at center-of-mass energies of 8 and 14 TeV for significant observations of the Higgs bosons h , h and H ± in these muonic channels.

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The Geometric Picture of Generalized-Cp and Higgs-Family Transformations in the Two-Higgs-Doublet Model

Cited by 58 publications

References 81 publications

Theory and phenomenology of two-Higgs-doublet models

Theory and phenomenology of two-Higgs-doublet models

Three-Higgs-doublet models: symmetries, potentials and Higgs boson masses

Towards testing a two-Higgs-doublet model with maximal CP symmetry at the LHC: Monte Carlo event generator implementation

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