Multi-Higgs models with 
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 symmetries of increasingly high order

Иванов, И. П.; Laletin, Maxim

doi:10.1103/physrevd.98.015021

Cited by 13 publications

(11 citation statements)

References 38 publications

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“…In Ref. [72], Ivanov and Laletin demonstrate how to construct N Higgs doublet models with a generalized CP symmetry of order 2k (denoted by CP2k) with positive integer k. Nontrivial cases arise only for 2k = 2 p with integer p ≥ 1. The simplest nontrivial models of this type (CP8 and CP16) require at least N = 5 Higgs doublets.…”

Section: )mentioning

confidence: 99%

Symmetries and mass degeneracies in the scalar sector

Haber¹,

Ogreid

Osland

et al. 2019

J. High Energ. Phys.

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We explore some aspects of models with two and three SU(2) scalar doublets that lead to mass degeneracies among some of the physical scalars. In Higgs sectors with two scalar doublets, the exact degeneracy of scalar masses, without an artificial fine-tuning of the scalar potential parameters, is possible only in the case of the inert doublet model (IDM), where the scalar potential respects a global U(1) symmetry that is not broken by the vacuum. In the case of three doublets, we introduce and analyze the replicated inert doublet model, which possesses two inert doublets of scalars. We then generalize this model to obtain a scalar potential, first proposed by Ivanov and Silva, with a CP4 symmetry that guarantees the existence of pairwise degenerate scalar states among two pairs of neutral scalars and two pairs of charged scalars. Here, CP4 is a generalized CP symmetry with the property that (CP4) n is the identity operator only for integer n values that are multiples of 4. The form of the CP4-symmetric scalar potential is simplest when expressed in the Higgs basis, where the neutral scalar field vacuum expectation value resides entirely in one of the scalar doublet fields. The symmetries of the model permit a term in the scalar potential with a complex coefficient that cannot be removed by any redefinition of the scalar fields within the class of Higgs bases (in which case, we say that no real Higgs basis exists). A striking feature of the CP4-symmetric model is that it preserves CP even in the absence of a real Higgs basis, as illustrated by the cancellation of the contributions to the CP violating form factors of the effective ZZZ and ZW W vertices. *

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Section: )mentioning

confidence: 99%

Symmetries and mass degeneracies in the scalar sector

Haber¹,

Ogreid

Osland

et al. 2019

J. High Energ. Phys.

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“…Within 2HDMs or 3HDMs, however, imposing invariance under CPk with k > 6 leads to continuous accidental family symmetries in addition to the usual CP2. The only way to impose CPk on NHDMs without producing any accidental symmetries is to take k to be a power of 2 and use more than three doublets [41]. Again, the Higgs potential in these models can be constructed explicitly in a suitable basis, but the basis-invariant conditions for the presence of higher-order CP-symmetries are unknown.…”

Section: Higher-order Cp Symmetrymentioning

confidence: 99%

Basis-invariant conditions forCPsymmetry of order four

et al. 2019

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Three-Higgs-doublet models (3HDM) allow for a novel, physically distinct form of CP invariance: CP symmetry of order 4 (CP4). Due to the large basis change freedom in 3HDM, it is imperative to recognize the presence of a possibly hidden CP4 in a basis-invariant way. In the present work, we solve this problem and establish basis-invariant necessary and sufficient conditions for a 3HDM to possess a CP4 symmetry. We also derive a basis-invariant criterion to decide whether or not a CP4 symmetric 3HDM possesses any additional CP symmetry, as well as a criterion to decide whether or not CP4 is spontaneously broken.

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“…In the past decade, 3HDMs gradually regained interest since in many aspects they are capable of delivering more than 2HDMs. The attractive phenomenological features of 3HDMs include richer scalar spectrum, CPV simultaneously with dark matter candidates [23], geometrical CPV [24,25], a novel type of CP symmetry, which is of order 4 rather than of order 2 [26][27][28] and which is physically distinct from the usual CP [29], and of course a variety of discrete symmetry groups.…”

Section: A Historical Contextmentioning

confidence: 99%

Recognizing symmetries in a 3HDM in a basis-independent way

Varzielas

Иванов

2019

Phys. Rev. D

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Higgs doublets may come in three generations. The scalar sector of the resulting three-Higgs-doublet model (3HDM) may be constrained by global symmetry groups G leading to characteristic phenomenology. There exists the full list of symmetry groups G realizable in the 3HDM scalar sector and the expressions for G-symmetric scalar potentials written in special bases where the generators of G take simple form. However recognizing the presence of a symmetry in a generic basis remains a major technical challenge, which impedes efficient exploration of the 3HDM parameter space. In this paper, we solve this problem using the recently proposed approach, in which basis-independent conditions are formulated as relations among basis-covariant objects. We develop the formalism and derive basis-independent necessary and sufficient conditions for the 3HDM scalar sector to be invariant under each of the realizable symmetry group. We also comment on phenomenological consequences of these results.

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Multi-Higgs models with CP symmetries of increasingly high order

Cited by 13 publications

References 38 publications

Symmetries and mass degeneracies in the scalar sector

Symmetries and mass degeneracies in the scalar sector

Basis-invariant conditions forCPsymmetry of order four

Recognizing symmetries in a 3HDM in a basis-independent way

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