Texture zeros and weak basis transformations in the quark sector of the standard model

Giraldo, Yithsbey

doi:10.1103/physrevd.86.093021

Cited by 21 publications

(70 citation statements)

References 26 publications

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“…Let us consider the numerical quark mass matrices given in Eq. (4.22) of my paper [2]. Which was also considered by the authors' comments in row (a) of from which the authors' comments have obtained the quark mixing matrix, Eq.…”

Section: Phases and The Cmk Mixing Matrixmentioning

confidence: 88%

“…When you establish specific diagonalization matrices, you are choosing specific phases. These phases are just different ways to present the CKM matrix as was told in my paper [2] above equation (3.29).…”

Section: Phases and The Cmk Mixing Matrixmentioning

confidence: 99%

“…One point of discussion is that to facilitate the analysis the initial quark mass matrices used by me is as follows [2] …”

Section: Up-quark Mass Matrix In Diagonal Formmentioning

confidence: 99%

“…If these texture zeros exist, the WB transformation is able to find them. The reason is that, as was shown in my paper [2], the WB transformation is exhaustive (complete) finding all possibilities, included possible four and five-zero textures.…”

Section: Introductionmentioning

confidence: 99%

“…But, this does not restrict the number of zeros can be found by applying the WB transformation to mass matrices, the case is that the model must be put into a physical context. Therefore, we have found additional zeros (fourand even five-zero textures [2]) by using the recent quark mass and mixing data. These additional zeros now have physical meanings because they were obtained from specific experimental data.…”

Section: Introductionmentioning

confidence: 99%

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Reply to “Comment on ‘Texture zeros and weak basis transformations in the quark sector of the standard model”’

Giraldo

2015

Phys. Rev. D

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We respond to the comments of S. Sharma et al. [Phys. Rev. D 91, 038301 (2015)] on my recent paper, Y. Giraldo [Phys. Rev. D 86, 093021 (2012)]. In their comments, they begin discussing a particular class of five-zero texture non-Fritzsch-like quark mass matrix, which was proposed by me, and questioning its validity. Then, they put in doubt the phases included in the unitary matrices used for diagonalizing the quark mass matrices, from which they claim that the CP violating parameter ǫ k obtained does not agree with the experimental value. Because of these comments, finally, they recommend being careful while analyzing the implications of Weak Basis transformations on textures. Other minor points are also discussed by them.In the following, I will show that the mentioned five-zero texture non-Fritzsch-like quark mass matrices is completely valid and generates all the physical quantities involved, including the CP violating parameter ǫ k , for which is required the inclusion of phases in the unitary matrices used for diagonalizing the quark mass matrices in order to put the CKM matrix in standard form. These phases can be rotated away so they do not have any physical meaning. Finally, the relevance of the weak basis transformation is appreciated: which is complete and facilitates calculations, especially of textures zeros.

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Section: Phases and The Cmk Mixing Matrixmentioning

confidence: 88%

Section: Phases and The Cmk Mixing Matrixmentioning

confidence: 99%

“…One point of discussion is that to facilitate the analysis the initial quark mass matrices used by me is as follows [2] …”

Section: Up-quark Mass Matrix In Diagonal Formmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reply to “Comment on ‘Texture zeros and weak basis transformations in the quark sector of the standard model”’

Giraldo

2015

Phys. Rev. D

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U(1) flavour symmetries as Peccei-Quinn symmetries

Björkeroth

Luzio

Mescia

et al. 2019

J. High Energ. Phys.

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We investigate to what extent a generic, generation-dependent U(1) symmetry acting on the quark Yukawa operators can reduce the number of free parameters by forcing some entries in the Yukawa matrices to vanish. The maximal reduction compatible with CP violation yields nine real parameters and one phase, which matches the number of physical observables, implying that such models have no free parameters. We derive a set of results: (i) the only possible structures have the form M 4 ⊕ M 5, where the subscripts indicate the number of real parameters in the Yukawa matrices, (ii) there are only two inequivalent Yukawa structures, each one giving rise to six different models depending on quark flavour assignments, (iii) the U(1) symmetries that generate these textures all have a QCD anomaly, and hence are Peccei-Quinn symmetries, reinforcing the idea of a possible connection between the quark flavour puzzle and the axion solution to the strong CP problem, (iv) in some cases the contributions to the QCD anomaly of two generations cancels out, and this opens the possibility that the axion coupling to nucleons could be strongly suppressed. Flavour-violating axion couplings to quarks are completely fixed, up to the axion decay constant, providing a non-trivial complementarity between low-energy flavour-violating processes and standard axion searches.

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Minimally modified Fritzsch texture for quark masses and CKM mixing

Belfatto,

Berezhiani

2023

J. High Energ. Phys.

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The Standard Model does not constrain the form of the Yukawa matrices and thus the origin of fermion mass hierarchies and mixing pattern remains puzzling. On the other hand, there are intriguing relations between fermion masses and mixing angles which may point towards specific textures of Yukawa matrices. One of the classic hypothesis is the zero texture proposed by Fritzsch which is, however, excluded by present precision tests since it predicts a too large value of |Vcb| as well as a too small value of the ratio |Vub/Vcb|. In this paper we discuss a minimal modification which still maintains the six zero entries as in the original Fritzsch ansatz. This modification consists in introducing an asymmetry between the 23 and 32 entries in the down-quark Yukawa matrix. We show that this flavour structure can naturally emerge in the context of models with inter-family SU(3)H symmetry. We present a detailed analysis of this Fritzsch-like texture by testing its predictions and showing that it is perfectly compatible with the present precision data on quark masses and CKM mixing matrix.

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Texture zeros and weak basis transformations in the quark sector of the standard model

Cited by 21 publications

References 26 publications

Reply to “Comment on ‘Texture zeros and weak basis transformations in the quark sector of the standard model”’

Reply to “Comment on ‘Texture zeros and weak basis transformations in the quark sector of the standard model”’

U(1) flavour symmetries as Peccei-Quinn symmetries

Minimally modified Fritzsch texture for quark masses and CKM mixing

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