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Texture Zeros for the Standard Model Quark Mass Matrices
High Energy Physics - Phenomenology · Submitted 28 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Finally, a five texture zeros "ans\"{a}tze" which properly copes with all experimental constrains, including the angles of the unitary triangle, is presented.
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The abstract, sentence by sentence
A way of counting free parameters in the quark mass matrices of the standard model, including the constraints coming from weak basis transformations, is presented; this allow to understand the exact physical meaning of the parallel and non-parallel texture zeros which appear in some "ans\"{a}tz" of the $3\times 3$ quark mass matrices, including the CP violation phenomena in the analysis, it is shown why the six texture zeros are ruled out. Finally, a five texture zeros "ans\"{a}tze" which properly copes with all experimental constrains, including the angles of the unitary triangle, is presented.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A way of counting free parameters in the quark mass matrices of the standard model, including the constraints coming from weak basis transformations, is presented; this allow to understand the exact physical meaning of the parallel and non-parallel texture zeros which appear in some "ans\"{a}tz" of the $3\times 3$ quark mass matrices, including the CP violation phenomena in the analysis, it is shown why the six texture zeros are ruled out. | contribution 0.82 | 0.88 | 0.30 | asserted 1.00 |
| s1 | Finally, a five texture zeros "ans\"{a}tze" which properly copes with all experimental constrains, including the angles of the unitary triangle, is presented. | result 0.52 | 0.91 | 0.59 | asserted 1.00 |
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The paper
Original abstract
A way of counting free parameters in the quark mass matrices of the standard model, including the constraints coming from weak basis transformations, is presented; this allow to understand the exact physical meaning of the parallel and non-parallel texture zeros which appear in some "ans\"{a}tz" of the $3\times 3$ quark mass matrices, including the CP violation phenomena in the analysis, it is shown why the six texture zeros are ruled out. Finally, a five texture zeros "ans\"{a}tze" which properly copes with all experimental constrains, including the angles of the unitary triangle, is presented.
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References
How the literature uses it
5 arXiv papers cite this in 9 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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In the Standard Model, we obtain a non-Fritzsch like configuration with five texture zeros for the quark mass matrices.
Five Non-Fritzsch Texture Zeros for Quarks Mass Matrices in the Standard Model · 0.94
Papers citing it · 7 sentences without a confident label
Uses its method or tool 1 paper
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To start, the phases in the mass matrices $M$ can be factorized in the form $ΦM^' Φ^*$ such that the $M^'$ matrix is real [ref] .
Five texture zeros in the lepton sector and neutrino oscillations at DUNE · Forms with five texture zeros and the WBT · 0.94
Cites it as background 1 paper
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For more details, see for instance Refs [ref] .
Five texture zeros in the lepton sector and neutrino oscillations at DUNE · Introduction · 0.88
What it cites
Uses data or values from 1 paper
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For the inputs used for carrying out the numerical calculations in the main text, we have adopted the following ranges of quark masses [ref] at the $M_Z$ energy scale (where the $V_CKM$ matrix elements in ([ref]) are measured)
Updated Values of Running Quark and Lepton Masses · Quark Masses · 1.00
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