Non-Abelian Discrete Symmetries in Particle Physics

Ishimori, Hajime; Kobayashi, Tatsuo; Ohki, Hiroshi; Shimizu, Yusuke; Okada, Hiroshi; Tanimoto, Morimitsu

doi:10.1143/ptps.183.1

Cited by 916 publications

(1,050 citation statements)

References 149 publications

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“…In the neutrino flavor space G has the form A substantial amount of phenomenological work has been done following the consequences of (1.4). Additionally, its possible group theoretic origin from a more fundamental symmetry such as A 4 have been investigated [37][38][39][40]. However, this flavor symmetry leads to the prediction that θ 13 = 0 which has now been excluded at more than 5.2σ [41].…”

Section: Jhep06(2018)085mentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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We propose a complex extension of µτ permutation antisymmetry in the neutrino Majorana matrix M ν . The latter can be realized for the Lagrangian by appropriate CP transformations on the neutrino fields. The resultant form of M ν is shown to be simply related to that with a complex (CP) extension of µτ permutation symmetry, with identical phenomenological consequences, though their group theoretic origins are quite different. We investigate those consequences in detail for the minimal seesaw induced by two strongly hierarchical right-chiral neutrinos N 1 and N 2 with the result that the Dirac phase is maximal while the two Majorana phases are either 0 or π. We further provide an uptodate discussion of the ββ0ν process vis-a-vis ongoing and forthcoming experiments. Finally, a thorough treatment is given of baryogenesis via leptogenesis in this scenario, primarily with the assumption that the lepton asymmetry produced by the decays of N 1 only matters here with the asymmetry produced by N 2 being washed out. Tight upper and lower bounds on the mass of N 1 are obtained from the constraint of obtaining the correct observed range of the baryon asymmetry parameter and the role played by N 2 is elucidated thereafter. The mildly hierarchical right-chiral neutrino case (including the quasidegenerate possibility) is discussed in an appendix.

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Section: Jhep06(2018)085mentioning

confidence: 99%

Consequences of minimal seesaw with complex μτ antisymmetry of neutrinos

Samanta

Roy

Ghosal

2018

J. High Energ. Phys.

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“…with three up-type and down-type Higgs families including MSSM where both Higgs types transform as triplets of A 4 [20] and a version of the E 6 SSM [21,22] where both Higgs types transform as triplets of ∆ (27) [23]. In both these examples, only the Higgs fields of the third family are (predominantly) assumed to develop VEVs which motivates the vacuum alignment (0, 0, v).…”

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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“…Moreover, it has recently been argued that discrete symmetries appear abundantly in string model constructions [15][16][17], with important applications for particle physics model building [18][19][20][21][22]. We are thus in a situation that P 6 could originate from a string model as consistent UV completion and that such a symmetry is compatible with local grand unification.…”

Section: Introductionmentioning

confidence: 99%