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

Abstract

We carry out a new study of quark mass matrices $M_{\mathrm{u}}^{}$ (up-type) and $M_{\mathrm{d}}^{}$ (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 $M_{\mathrm{u}}^{}$ and $M_{\mathrm{d}}^{}$ 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 $M_{\mathrm{u}}^{}$ and $M_{\mathrm{d}}^{}$ are essentially stable against the evolution of energy scales in an analytical way by using the one-loop renormalization-group equations.

33 pages, 4 figures, minor comments added, version to appear in Nucl. Phys. B

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Cited by in corpus (14)

• The $\mu$-$\tau$ reflection symmetry of Majorana neutrinos
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• Classification of Abelian domain walls
• Lepton mass textures from non-invertible multiplication rules
• Correlations between quark mass and flavor mixing hierarchies
• The breaking of flavor democracy in the quark sector
• Exploring the predictability of symmetric texture zeros in quark mass matrices
• Minimizing the phase structure of quark mass matrices
• Sign of CP Violating Phase in Quarks and Leptons
• A minimal axion model for mass matrices with five texture-zeros
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• The Minimal Supersymmetric Standard Model with Non-Invertible Selection Rules
• Minimal structure for neutrino mass matrix
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture