Non-hermitian Yukawa couplings?

Branco, G.C.; Silva-Marcos, J. I.

doi:10.1016/0370-2693(94)91069-3

Cited by 55 publications

(67 citation statements)

References 10 publications

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“…By having the large lopsided contribution with σ > ǫ, one finds D 32 ≪ D 23 , which leads to V cb ≪ m s /m b , as observed. This cures one of the main problems with textures of the Fritzsch type [5] as noted previously by Branco and Silva-Marcos [6] in a phenomenological study of the quark sector. Other authors [7] have also recently appreciated this fact in the context of SU(5) models.…”

Section: The Mass Matricessupporting

confidence: 69%

Predicting quark and lepton masses and mixings

Albright

Barr

1999

Physics Letters B

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A model is presented that fits the quark and lepton masses and mixings wherein five dimensionless parameters and a phase account for fifteen dimensionless observables. Among these are the Wolfenstein parameters ρ and η, the ν e − ν µ and ν e − ν τ mixing angles which are predicted to be small and comparable while the ν µ −ν τ mixing angle is predicted to be large. The model is based on supersymmetric SO(10) with the form of the mass matrices motivated by simplicity at the level of grand unification.

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Section: The Mass Matricessupporting

confidence: 69%

Predicting quark and lepton masses and mixings

Albright

Barr

1999

Physics Letters B

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“…At present, it is not so well-known what any other minimal parameter basis there is. Recently, there has been considerable interest [4,5] in the non-Hermitian Fritzschtype quark mass matrix, i.e., the quark mass matrix with nearest-neighbor interactions (NNI) form, because of its simple form and generality. The model is described by twelve parameters as stated later.…”

mentioning

confidence: 99%

NNI-Form Quark Mass Matrix Expressed by the Observable Quantities

Koide

1997

Mod. Phys. Lett. A

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It is pointed out that the phase convention of the CKM matrix V affects texture analysis of the quark mass matrices (M u , M d ) when we try to describe (M u , M d ) by the observable quantities (quark masses and CKM matrix parameters) only. This is demonstrated for a case of the non-Hermitian Fritzsch-type mass matrix ( M u , M d ), which is a general expression of quark mass matrix (M u , M d ) and is described by twelve parameters. We find that we can always choose a phase convention of V which yields M u32 = 0, so that the remaining ten parameters in ( M u , M d ) can completely be expressed by the ten observable quantities.

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“…As presented by Branco, Lavoura and Mota, both up-and down-quark mass matrices could always be transformed to the non-Hermitian matrices in the nearest-neighbor interaction (NNI) basis by a weak-basis transformation for the three and four generation cases [2]. Based on the NNI form, several authors have studied the quark masses and CabibboKobayashi-Maskawa (CKM) matrix [3] phenomenologically [4]- [7]. One of authors(T.I) proposed a texture, in which the up-quark mass matrix to be in the Fritzsch form and the down-quark mass matrix to be Branco−Silva-Marcos (BS) form [7].…”

mentioning

confidence: 99%

Nearest-neighbor interaction quark-lepton mass matrices in supersymmetric SU(5) grand unified theories

1998

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We propose the Fritzsch−Branco−Silva-Marcos type fermion mass matrix, which is a typical texture in the nearest-neighbor interaction form, in SU (5) GUT. By evolution of the mass matrices with SU (5) GUT relations in the minimal SUSY standard model, we obtain predictions for the unitarity triangle of CP violation as well as the quark flavor mixing angles, which are consistent with experimental data, in the case of tan β

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Non-hermitian Yukawa couplings?

Cited by 55 publications

References 10 publications

Predicting quark and lepton masses and mixings

Predicting quark and lepton masses and mixings

NNI-Form Quark Mass Matrix Expressed by the Observable Quantities

Nearest-neighbor interaction quark-lepton mass matrices in supersymmetric SU(5) grand unified theories

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