Five texture zeros and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>C</mml:mi><mml:mi>P</mml:mi></mml:math>violation for the standard model quark mass matrices

Ponce, William A.; Gómez, John D.; Benavides, Richard H.

doi:10.1103/physrevd.87.053016

Cited by 14 publications

(12 citation statements)

References 47 publications

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“…As a consequence of texture zeros [32][33][34][35][36][37][38][39][40][41][42], a few simple but instructive relations among flavor mixing angles and quark mass ratios can be established [34,36,[43][44][45][46][47][48][49] and tested in experiments. Unfortunately, the Fritzsch ansatz failed to reconcile a large top-quark mass with the observed value of |V cb | [50,51].…”

Section: Introductionmentioning

confidence: 99%

Quark flavor mixings from hierarchical mass matrices

Verma

Zhou

2016

Eur. Phys. J. C

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In this paper, we extend the Fritzsch ansatz of quark mass matrices while retaining their hierarchical structures and show that the main features of the CabibboKobayashi-Maskawa (CKM) matrix V , including |V us | |V cd |, |V cb | |V ts | and |V ub |/|V cb | < |V td |/|V ts |, can be well understood. This agreement is observed especially when the mass matrices have non-vanishing (1, 3) and (3, 1) offdiagonal elements. The phenomenological consequences of these for the allowed texture content and gross structural features of 'hierarchical' quark mass matrices are addressed from a model-independent prospective under the assumption of factorizable phases in these. The approximate and analytical expressions of the CKM matrix elements are derived and a detailed analysis reveals that such structures are in good agreement with the observed quark flavor mixing angles and the CP-violating phase at the 1σ level and call upon a further investigation of the realization of these structures from a top-down prospective.

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Section: Introductionmentioning

confidence: 99%

Quark flavor mixings from hierarchical mass matrices

Verma

Zhou

2016

Eur. Phys. J. C

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“…Note that for the mass matrices of equation(11) we find numerically|(M d ) 22 | ≃ m b , |(M u ) 22 | ≃ m t .For achieving the usual ordering with large elements having higher indices, one has to apply a permutation 2 ↔ 3 to the indices 7. Note that in[19] the Hermitian mass matrices I-V are studied at µ = M Z just as in this paper. Hence, the results can directly be compared.…”

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confidence: 73%

“…We emphasize once more that, after the consideration of general quark mass matrices, we have investigated symmetric (but not Hermitian) mass matrices, in which context we have discovered six viable textures with five texture zeros-see table 3. It is interesting to compare these six textures with the five viable Hermitian textures with five texture zeros discussed in the literature [18,19]. For this comparison we use the table in [19] where the five Hermitian patterns I-V are listed and check if there are corresponding patterns in our table 3, with zeros in corresponding places after suitable weak-basis permutations.…”

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confidence: 89%

“…It is interesting to compare these six textures with the five viable Hermitian textures with five texture zeros discussed in the literature [18,19]. For this comparison we use the table in [19] where the five Hermitian patterns I-V are listed and check if there are corresponding patterns in our table 3, with zeros in corresponding places after suitable weak-basis permutations. We find the correspondences II ∼ S 9 , III ∼ S 8 , IV ∼ S 15 and V ∼ S 10 , while pattern I has no correspondence to viable texture zeros in symmetric quark mass matrices.…”

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confidence: 99%

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A complete survey of texture zeros in general and symmetric quark mass matrices

Ludl

Grimus

2015

Physics Letters B

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We perform a systematic analysis of all possible texture zeros in general and symmetric quark mass matrices. Using the values of masses and mixing parameters at the electroweak scale, we identify for both cases the maximally restrictive viable textures. Furthermore, we investigate the predictive power of these textures by applying a numerical predictivity measure recently defined by us. With this measure we find no predictive textures among the viable general quark mass matrices, while in the case of symmetric quark mass matrices most of the 15 maximally restrictive textures are predictive with respect to one or more light quark masses.

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“…Some predictive texture five zero structures were discussed in [13] which were subsequently ruled out in [38,41,42] on hierarchy and sin2β considerations. These structures were again reviewed in [43], but allowed 3σ variation of quark mixing angles and sin2β. However, sin2β is now more precisely measured and a systematic investigation is therefore desirable.…”

Section: Introductionmentioning

confidence: 99%

Exploring the predictability of symmetric texture zeros in quark mass matrices

Verma

2017

Phys. Rev. D

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The predictability of hierarchical quark mass matrices with symmetrically placed texture zeros is explored in the light of current precision measurements on quark masses and mixing data and interesting phenomenological relations among the quark mass ratios and flavor mixing angles along with CP asymmetry angle β are deduced for different predictive textures within the framework of the Standard Model. It is shown that a single non-trivial phase in these mass matrices is sufficient enough to account for the observed CP-violation in the quark sector. In particular, it is observed that the Cabibbo angle is predominantly determined by the ratio m d /ms and corrections may also result from mu/mc. Furthermore, V cb ∼ = m d /m b or V cb ∼ = mc/2mt along with V ub mu/mt provide excellent agreements with the current mixing data and β = −Arg{V td } may provide a rigorous test at the B-factories for some of these texture zero structures.

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Five texture zeros andCPviolation for the standard model quark mass matrices

Abstract: The phenomenology of the five independent sets of 3 × 3 quark mass matrices with five texture zeros is carried through in full detail, including predictions for the CP violation asymmetries. Our study is done without any approximation, first analytical and then numerical.

Cited by 14 publications

References 47 publications

Quark flavor mixings from hierarchical mass matrices

Quark flavor mixings from hierarchical mass matrices

A complete survey of texture zeros in general and symmetric quark mass matrices

Exploring the predictability of symmetric texture zeros in quark mass matrices

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