Systematic study of fermion masses and mixing angles in horizontal SU(2) gauge theory

“…These fourteen possible models are presented in Eq.3 of Ref. [11] and analyzed in Sections. II, III, and in the summary of the tree level results presented in Table IV of the same reference.…”

Section: Settingmentioning

confidence: 99%

Systematic study of horizontal gauge theories

Ponce

Wills

Zepeda

1997

Zeitschrift f�r Physik C Particles and Fields

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“…One of the popular choices for this symmetry has been SU (2), and this has been extensively studied in terms of what effect the existence of such a symmetry would have on the relations between the fermion masses and also the Cabibbo-Kobayashi-Maskawa (CKM) matrix. [10] In references [11] and [12] Pleitez made the suggestion of adding such an SU (2) horizontal symmetry to the 331 model, and this is what has been pursued in this paper, investigating the effects on fermion masses and mixings. We consider both the original 331 model (Model I) and the later extension containing right-handed neutrinos (Model II).…”

Section: Introductionmentioning

confidence: 99%

Fermion Masses and Mixing in 331 Models With Horizontal Symmetry

Tully

Joshi

1998

Mod. Phys. Lett. A

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“…However, as global symmetries are in general not respected by gravitational effects [8], the horizontal symmetry should be gauged. Canceling the gauge anomalies then imposes a strong constraint on model building [9][10][11][12]. For a simple nonabelian symmetry, we are left with essentially only SU(2) and its discrete dicyclic subgroups Q 2N [12][13][14][15].…”

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confidence: 99%

Dicyclic horizontal symmetry and supersymmetric grand unification

Frampton

Kong

1996

Phys. Rev. D

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It is shown how to use as horizontal symmetry the dicyclic group Q 6 ʚSU͑2͒ in a supersymmetric unification SU͑5͒ SU͑5͒ SU͑2͒ where one SU͑5͒ acts on the first and second families, in a horizontal doublet, and the other acts on the third. This can lead to acceptable quark masses and mixings, with an economic choice of matter supermultiplets, and charged lepton masses can be accommodated. PACS number͑s͒: 12.10. Dm, 11.30.Hv, 12.60.Jv The smallness of most of the quark masses and mixing parameters and the strong hierarchy among them is one of the most interesting puzzles in particle physics. Spontaneously broken horizontal symmetry is the most popular candidate theory for understanding the flavor structure, including in supersymmetric models. In the context of the minimal supersymmetric standard model ͑MSSM͒, a horizontal symmetry may also give a viable alternative to build in a super-Glashow-Iliopoulos-Maiani ͑GIM͒ mechanism to suppress flavor-changing neutral currents ͑FCNC͒ induced by supersymmetric particles ͓1-3͔. Attempts has also been made to use horizontal symmetry to address the problem ͓2,4͔, the strong CP problem ͓5͔, FCNC due to light leptoquarks ͓6͔, and baryon number violation in supersymmetry ͑SUSY͒ ͓7͔. There is hence a growing interest in the topic.However, as global symmetries are in general not respected by gravitational effects ͓8͔, the horizontal symmetry should be gauged. Canceling the gauge anomalies then imposes a strong constraint on model building ͓9-12͔. For a simple non-Abelian symmetry we are left with essentially only SU͑2͒ and its discrete dicyclic subgroups Q 2N ͓12-15͔. Now we consider an extra desirable ingredient, compatibility with supersymmetric vertical ͑grand͒ unification, such as SU͑5͒. The only grand unified theory ͑GUT͒ compatible gauged horizontal symmetry model proposed so far is incompatible with SUSY ͓12͔. Here we provide the first SUSY-GUT compatible such model. Inspired by the antiunification approach to quark masses ͓16͔, models with separate GUT groups for each of the three families has been introduced ͓17͔. Here we consider instead only two SU͑5͒'s for horizontal singlet and doublet families. The structure then gives, to the first approximation, rank-one quark mass matrices. We show that, with judiciously chosen heavy scalar vacuum expectation values ͑VEV's͒, the full hierarchical and phenomenologically viable quark mass matrix textures can be generated, using nonrenormalizable gravitational interactions ͓18͔.Our model has gauged SU͑5͒ SU͑5͒ SU͑2͒, with this symmetry broken to a diagonal SU͑5͒ ͑SUSY-͒GUT group around and above the GUT scale. The full pattern of symmetry breaking is illustrated in Fig. 1.The assignment of the three families of quarks and leptons to ͓SU͑5͒ SU͑5͒ Q 6 ] is thus 3rd family ͑ 5ϩ10,1,1 ͒, 1st and 2nd families ͑ 1,5ϩ10,2 1 ͒.Upon breaking to diagonal SU͑5͒ this becomes a normal three-family SUSY-GUT.

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Systematic study of fermion masses and mixing angles in horizontal SU(2) gauge theory

Cited by 20 publications

References 31 publications

Systematic study of horizontal gauge theories

Systematic study of horizontal gauge theories

Fermion Masses and Mixing in 331 Models With Horizontal Symmetry

Dicyclic horizontal symmetry and supersymmetric grand unification

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