Large neutrino mixing and normal mass hierarchy: A discrete understanding

Chen, Shao-Long; Frigerio, Michele; Ma, Ernest

doi:10.1103/physrevd.70.073008

Cited by 104 publications

(22 citation statements)

References 63 publications

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“…which has also been used in the literature [25,26], the above symmetry translates into a symmetry for the interchange of the fieldsχ 1 andχ 2 . Another interesting feature is the fact that the choice λ 4 = 0 leads to a continuous SO(2) symmetry defined by:…”

Section: The Potential In Terms Of S 3 Singlet and Doublet Fieldsmentioning

confidence: 99%

Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Emmanuel-Costa

Ogreid²,

Osland

et al. 2016

J. High Energ. Phys.

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We present a detailed study of the vacua of the S 3 -symmetric three-Higgsdoublet potential, specifying the region of parameters where these minimisation solutions occur. We work with a CP conserving scalar potential and analyse the possible real and complex vacua with emphasis on the cases in which the CP symmetry can be spontaneously broken. Results are presented both in the reducible-representation framework of Derman, and in the irreducible-representation framework. Mappings between these are given. Some of these implementations can in principle accommodate dark matter and for that purpose it is important to identify the residual symmetries of the potential after spontaneous symmetry breakdown. We are also concerned with constraints from vacuum stability.

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Section: The Potential In Terms Of S 3 Singlet and Doublet Fieldsmentioning

confidence: 99%

Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Emmanuel-Costa

Ogreid²,

Osland

et al. 2016

J. High Energ. Phys.

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“…As we will see in detail, the space of Higgs-boson doublets does, in terms of bilinears, not correspond to the forward light cone space, as in case of the THDM [4], but to a certain subspace; see [5,6,15]. Driven mainly by the quark-and neutrino mixing data, several 3HDM's have been proposed; see for instance [16][17][18][19] In an analogous way to the study of the THDM in [4] we will discuss in the following, in sections 2 to 7, stability, electroweak symmetry breaking, and the stationarity points of the potential for any 3HDM. In section 7 we discuss the potential after symmetry breaking, section 8 presents our conclusion.…”

Section: Introductionmentioning

confidence: 99%

Stability and symmetry breaking in the general three-Higgs-doublet model

Maniatis

Nachtmann

2015

J. High Energ. Phys.

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Stability, electroweak symmetry breaking, and the stationarity equations of the general three-Higgs-doublet model (3HDM) where all doublets carry the same hypercharge are discussed in detail. Employing the bilinear formalism the study of the 3HDM potential turns out to be straightforward. For the case that the potential leads to the physically relevant electroweak symmetry breaking we present explicit formulae for the masses of the physical Higgs bosons.Comment: 21 pages. Revised version with errors corrected with respect to the stability and stationarity equations for the case of the bilinear's matrix of rank 1. Ensueing errors in Chapter 7 and appendix B are also correcte

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“…see ref. [17]) also. It would therefore seem that considering µ ↔ τ symmetry for leptons, despite its strong breaking in the charged lepton sector is quite a meaningful and useful way to obtain information about physics beyond the standard model from neutrinos.…”

Section: Model II Without Right Handed Neutrinosmentioning

confidence: 91%

Theta-13 as a Probe of Mu-Tau symmetry for Leptons

Mohapatra¹

2004

J. High Energy Phys.

120

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Many experiments are being planned to measure the neutrino mixing parameter θ 13 using reactor as well as accelerator neutrino beams. In this note, the theoretical significance of a high precision measurement of this parameter is discussed. It is emphasized that it will provide crucial information about different ways to understand the origin of large atmospheric neutrino mixing and move us closer towards determining the neutrino mass matrix. For instance if exact µ ↔ τ symmetry in the neutrino mass matrix is assumed to be the reason for maximal ν µ − ν τ mixing, one gets θ 13 = 0.Whether θ 13 ≃ ∆m 2 ⊙ /∆m 2 A or θ 13 ≃ ∆m 2 ⊙ /∆m 2 A can provide information about the way the µ ↔ τ symmetry breaking manifests in the case of normal hierarchy. We also discuss the same question for inverted hierarchy as well as possible gauge theories with this symmetry.

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Large neutrino mixing and normal mass hierarchy: A discrete understanding

Cited by 104 publications

References 63 publications

Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Spontaneous symmetry breaking in the S 3-symmetric scalar sector

Stability and symmetry breaking in the general three-Higgs-doublet model

Theta-13 as a Probe of Mu-Tau symmetry for Leptons

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