Implications of CP asymmetry parameter <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">sin</mml:mi><mml:mn>2</mml:mn><mml:mi>β</mml:mi></mml:math> on structural features of texture specific mass matrices

Verma, Rohit; Ahuja, Gulsheen; Gupta, Madhur

doi:10.1016/j.physletb.2009.10.039

Cited by 16 publications

(18 citation statements)

References 23 publications

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“…Recent refinements in quark mixing data motivated several authors [15]- [22] to have a re-look at the compatibility of Fritzsch like texture 4 zero mass matrices with the quark mixing data. In particular, using assumption of 'strong hierarchy' of the elements of the mass matrix defined as D i < |B i | < C i , (i = U, D), having its motivation in the hierarchy of the quark mixing angles several attempts [15]- [20] were made to predict the value of precisely known parameter sin 2β.…”

Section: Quark Mass Matricesmentioning

confidence: 99%

“…Their analysis has also given valuable clues about the phase structure of the mass matrices, in particular for the strong hierarchy case they conclude that only one of the two phase parameters plays a dominant role. Subsequently, attempts [14,22] have been made to update and broaden the scope of the analysis carried out by Xing and Zhang [13], in particular regarding the structural features of the mass matrices having implications for the value of parameter sin 2β.…”

Section: Quark Mass Matricesmentioning

confidence: 99%

“…The other issue is whether we can consider 'weakly' hierarchical mass matrices to reproduce 'strongly' hierarchical mixing angles. This issue has been explored in a detailed manner [14,22] and in the present work we reproduce some of the essential details regarding this. In this context, on the one hand, many authors [15]- [20] have shown that on using strong hierarchy of the elements of the mass matrices, texture 4 zero mass matrices appear to be incompatible with the recent value of sin 2β.…”

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

“…In this context, on the one hand, many authors [15]- [20] have shown that on using strong hierarchy of the elements of the mass matrices, texture 4 zero mass matrices appear to be incompatible with the recent value of sin 2β. While on the other hand, recently [14,22] extension of the parameter space of the elements of these matrices has been carried out to include the case of 'weak hierarchy' amongst them along with the usually considered 'strong hierarchy' case and thereby they have been shown to be compatible with the parameter sin 2β.…”

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

“…It may be noted that although hierarchy of the elements of the mass matrices has been considered often while carrying out the analysis, however it has been explicitly defined only in [22]. The various relations between the elements of the mass matrices, given in Eq.…”

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

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Possible Textures of the Fermion Mass Matrices

Gupta

Ahuja

2011

Int. J. Mod. Phys. A

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Texture specific fermion mass matrices have played an important role in understanding several features of fermion masses and mixings. In the present work, we have given an overview of all possible cases of Fritzsch-like as well as non Fritzschlike texture 6 and 5 zero fermion mass matrices. Further, for the case of texture 4 zero Fritzsch-like quark mass matrices, the issue of the hierarchy of the elements of the mass matrices and the role of their phases have been discussed. Furthermore, the case of texture 4 zero Fritzsch-like lepton mass matrices has also been discussed with an emphasis on the hierarchy of neutrino masses for both Majorana and Dirac neutrinos.

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Section: Quark Mass Matricesmentioning

confidence: 99%

Section: Quark Mass Matricesmentioning

confidence: 99%

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

Section: Texture 4 Zero Matricesmentioning

confidence: 99%

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Possible Textures of the Fermion Mass Matrices

Gupta

Ahuja

2011

Int. J. Mod. Phys. A

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On the four-zero texture of quark mass matrices and its stability

Zhang

Zhao

2015

Nuclear Physics B

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We carry out a new study of quark mass matrices $M^{}_{\rm u}$ (up-type) and $M^{}_{\rm d}$ (down-type) which are Hermitian and have four zero entries, and find a new part of the parameter space which was missed in the previous works. We identify two more specific four-zero patterns of $M^{}_{\rm u}$ and $M^{}_{\rm d}$ with fewer free parameters, and present two toy flavor-symmetry models which can help realize such special and interesting quark flavor structures. We also show that the texture zeros of $M^{}_{\rm u}$ and $M^{}_{\rm d}$ are essentially stable against the evolution of energy scales in an analytical way by using the one-loop renormalization-group equations.Comment: 33 pages, 4 figures, minor comments added, version to appear in Nucl. Phys.

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