CP violation in the general two-Higgs-doublet model: a geometric view

Maniatis, Markos; Manteuffel, Andreas von; Nachtmann, Otto

doi:10.1140/epjc/s10052-008-0712-5

Cited by 96 publications

(153 citation statements)

References 32 publications

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“…A third notation emphasises the presence of field bilinears Φ † a Φ b in the scalar potential. An early use of bilinears is due to Velhinho, Santos, and Barroso [371]; the notation has later been much employed by Nagel [372], by Maniatis et al [373,374,375], by Nishi [376,377,378], and by Ivanov [379,380,381]. Following Nishi [376] we write:…”

Section: The Scalar Potential Notationmentioning

confidence: 99%

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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: The Scalar Potential Notationmentioning

confidence: 99%

“…While (CP2) 2 is reduced to the identity transformation through a global hypercharge transformation [375], (CP3) 2 is a non-trivial HF symmetry of the class II scalar potential [386].…”

Section: The Square Of the Gcp Transformationmentioning

confidence: 99%

Theory and phenomenology of two-Higgs-doublet models

et al. 2012

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“…For example, the remaining symmetry of the potential after EWSB can have the effect of stabilising the lightest Higgs boson, which can become a possible Dark Matter (DM) candidate. In 2HDMs, the full list of possible symmetries of the potential is now known [6][7][8][9]: the symmetry group can be Z 2 , (Z 2 ) 2 , (Z 2 ) 3 , O(2), O(2)×Z 2 , or O(3). 4 In 2HDMs these symmetries can be conserved or spontaneously violated after the EWSB, depending on the coefficients of the potential.…”

Section: Jhep01(2014)052mentioning

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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“…where M A and L AB are SO (1,5) constant 'tensors' that depend on the mass parameters and quartic couplings of the scalar potential V and their explicit forms may be found in [29][30][31][32].…”

Section: Maximally Symmetric Two Higgs Doublet Model Potentialmentioning

confidence: 99%

Maximally symmetric two Higgs doublet model with natural standard model alignment

Dev

Pilaftsis

2014

J. High Energ. Phys.

174

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Abstract:We study the Higgs mass spectrum as predicted by a Maximally Symmetric Two Higgs Doublet Model (MS-2HDM) potential based on the SO(5) group, softly broken by bilinear Higgs mass terms. We show that the lightest Higgs sector resulting from this MS-2HDM becomes naturally aligned with that of the Standard Model (SM), independently of the charged Higgs boson mass and tan β. In the context of Type-II 2HDM, SO(5) is the simplest of the three possible symmetry realizations of the scalar potential that can naturally lead to the SM alignment. Nevertheless, renormalization group effects due to the hypercharge gauge coupling g and third-generation Yukawa couplings may break sizeably this alignment in the MS-2HDM, along with the custodial symmetry inherited by the SO (5) group. Using the current Higgs signal strength data from the LHC, which disfavour large deviations from the SM alignment limit, we derive lower mass bounds on the heavy Higgs sector as a function of tan β, which can be stronger than the existing limits for a wide range of parameters. In particular, we propose a new collider signal based on the observation of four top quarks to directly probe the heavy Higgs sector of the MS-2HDM during the run-II phase of the LHC.

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CP violation in the general two-Higgs-doublet model: a geometric view

Cited by 96 publications

References 32 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

Maximally symmetric two Higgs doublet model with natural standard model alignment

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