New mixing structures of chiral generations in a model with noncompact horizontal symmetry

Yamatsu, Naoki

doi:10.1093/ptep/pts079

Cited by 4 publications

(16 citation statements)

References 28 publications

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“…As in Ref. [87], Sec. 3.2, the relation between two initial condition sets can be classified into three conditions: Type-I, q α < 3/2 shown in Fig.…”

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 77%

“…As in Ref. [87], Sec. 3.2, when the SU (1, 1) spins satisfy the condition S ′′ > S, S ′ , their normalizable conditions are always satisfied regardless of the coupling constants and the value of the VEVs.…”

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 77%

“…D β,α,S j,i (i, j = 0, 1, 2, · · · ) is a CGC of SU (1, 1) given in Ref. [87]; for S ≥ | − i + j − α + β|, the CGC is nonzero; otherwise, the CGC is zero. The emergence of the massless modesf n requires that the coupling between the massless modesf n and the massive modesf c −α−i and f ′c −α−i for any i must vanish simultaneously:…”

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 99%

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A supersymmetric grand unified model with noncompact horizontal symmetry

Yamatsu

2013

Progress of Theoretical and Experimental Physics

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In a supersymmetric SU (5) grand unified model with a horizontal symmetry SU (1, 1), we discuss spontaneous generation of generations to produce three chiral generations of quarks and leptons and one generation of higgses by using one structure field with a half-integer spin of SU (1, 1) and two structure fields with integer spins. In particular, the colored higgses can disappear without fine-tuning. The difference of the Yukawa coupling matrices between the down-type quarks and charged leptons is discussed. We show that some special SU (1, 1) weight assignments include R-parity as a discrete subgroup, and R-parity remains even after we take into account the SU (1, 1) breaking effects from all the VEVs of the structure and matter fields. The assignments forbid the baryon and/or lepton number violating terms except a superpotential quartic term including a coupling of two lepton doublets and two up-type higgses. We discuss how to generate sizable neutrino masses. We show that the proton decay derived from the colored higgses is highly suppressed.

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“…As in Ref. [87], Sec. 3.2, the relation between two initial condition sets can be classified into three conditions: Type-I, q α < 3/2 shown in Fig.…”

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 77%

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 77%

Section: Three Chiral Generations Of Quarks and Leptonsmentioning

confidence: 99%

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A supersymmetric grand unified model with noncompact horizontal symmetry

Yamatsu

2013

Progress of Theoretical and Experimental Physics

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“…[55] (see also [25,56,57]) and we will not discuss (A5) and (A6) here. 8 We cannot impose the Dirichlet BC for both Ψ R and Ψ L at a boundary because it is enough for Ψ R ¼ 0 or Ψ L ¼ 0 to satisfy the conditions (A7) and (A8), and in fact the requirement Ψ R ¼ Ψ L ¼ 0 at a boundary is overconstrained.…”

Section: Appendix: Review Of Point Interactions and Derivation Of Fermentioning

confidence: 99%

“…One possibility in the context of four-dimensional (4d) gauge theory is a scenario with noncompact gauge symmetry, which can naturally produce the fermion mass hierarchy and three generations [4][5][6][7][8]. Another way is achieved by using extra dimensions.…”

Section: Introductionmentioning

confidence: 99%

Dynamical generation of fermion mass hierarchy in an extra dimension

et al. 2018

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We propose a new mechanism to produce a fermion mass hierarchy dynamically in a model with a single generation of fermions. A five-dimensional gauge theory on an interval with point interactions (zero-width branes) takes responsibility for realizing three generations and each massless zero mode localizes at boundaries of the segments on the extra dimension. An extra dimension coordinate-dependent vacuum expectation value of a scalar field makes large differences in overlap integrals of the localized zero modes and then an exponential fermion mass hierarchy can appear. The positions of the point interactions control the magnitude of the fermion mass hierarchy and are determined by the minimization condition of the Casimir energy. As a result of the minimization of the Casimir energy, an exponential mass hierarchy appears dynamically. We also discuss the stability of the extra dimension.

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Family unification in special grand unification

Yamatsu

2018

Progress of Theoretical and Experimental Physics

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We discuss family unification in grand unified theory (GUT) based on an SU (19) GUT gauge group broken to its subgroups including a special subgroup. In the SU (19) GUT on the six-dimensional (6D) orbifold space M 4 × T 2 /Z 2 , three generations of the 4D SM Weyl fermions can be embedded into a 6D bulk Weyl fermions in an SU (19) second-rank anti-symmetric tensor representation. 6D and 4D gauge anomalies can be canceled out by considering proper matter content without 4D exotic chiral fermions at low energies. * Electronic address: yamatsu@high.hokudai.ac.jp

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New mixing structures of chiral generations in a model with noncompact horizontal symmetry

Cited by 4 publications

References 28 publications

A supersymmetric grand unified model with noncompact horizontal symmetry

A supersymmetric grand unified model with noncompact horizontal symmetry

Dynamical generation of fermion mass hierarchy in an extra dimension

Family unification in special grand unification

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