Clues towards unified textures

Sharma, Samandeep; Fakay, Priyanka; Ahuja, Gulsheen; Gupta, Madhur

doi:10.1142/s0217751x14440059

Cited by 8 publications

(10 citation statements)

References 31 publications

(6 reference statements)

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“…(7), the element in the (1, 1) position of M d has been found to be redundant [59][60][61] in the sense that the quark mass matrices are compatible with experimental data even in the limit of (M d ) 11 = 0. In this limit, we obtain the Fritzsch-like mass matrices with four texture zeros in Eq.…”

Section: Weak Basis Transformationsmentioning

confidence: 91%

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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: Weak Basis Transformationsmentioning

confidence: 91%

“…(7) under the minimal additional assumption of a vanishing (1, 1) diagonal element. Furthermore, most of the recent investigations involving texture specific quark mass matrices have been limited to parallel texture zeros [55,60,61] or based on numerical investigations only [24].…”

Section: Weak Basis Transformationsmentioning

confidence: 99%

Quark flavor mixings from hierarchical mass matrices

Verma

Zhou

2016

Eur. Phys. J. C

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“…Further, to PHYSICAL REVIEW D 91, 053004 (2015) incorporate the condition of naturalness on these mass matrices, the following condition is imposed on the elements of the matrices [9]:…”

mentioning

confidence: 99%

Finding a unique texture for quark mass matrices

et al. 2015

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Within the Standard Model, starting with the most general mass matrices we have used the facility of making weak basis transformations and have imposed the condition of `naturalness' to carry out their analysis within the texture zero approach. Interestingly, our analysis reveals that a particular set of texture 4 zero quark mass matrices can be considered to be a unique viable option for the description of quark mixing data.Comment: 9 pages, 2 figure

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“…Attempts were also made [70] to integrate the concept of 'weak basis transformations' [32,35] and 'naturalness' [71] in quark mass matrices which were also consistent with hierarchical quark mass matrices. Some recent analyses predicted [51,[72][73][74][75][76] that texture four zero quark mass matrices in [52] were the only viable structures in the quark sector and that the elements in these matrices were only "weakly" hierarchical with M 22 >> m 2 [55] and not "strongly" hierarchical with M 22 ∼ m 2 . These analyses seemed to rule out the possibility of strongly hierarchical quark mass matrices in recent context.…”

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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Clues towards unified textures

Cited by 8 publications

References 31 publications

Quark flavor mixings from hierarchical mass matrices

Quark flavor mixings from hierarchical mass matrices

Finding a unique texture for quark mass matrices

Exploring the predictability of symmetric texture zeros in quark mass matrices

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