Hierarchical Quark Mass Matrices

Abstract

I define a set of conditions that the most general hierarchical Yukawa mass matrices have to satisfy so that the leading rotations in the diagonalization matrix are a pair of (2,3) and (1,2) rotations. In addition to Fritzsch structures, examples of such hierarchical structures include also matrices with (1,3) elements of the same order or even much larger than the (1,2) elements. Such matrices can be obtained in the framework of a flavor theory. To leading order, the values of the angle in the (2,3) plane (s_{23}) and the angle in the (1,2) plane (s_{12}) do not depend on the order in which they are taken when diagonalizing. We find that any of the Cabbibo-Kobayashi-Maskawa matrix parametrizations that consists of at least one (1,2) and one (2,3) rotation may be suitable. In the particular case when the s_{13} diagonalization angles are sufficiently small compared to the product s_{12}s_{23}, two special CKM parametrizations emerge: the R_{12}R_{23}R_{12} parametrization follows with s_{23} taken before the s_{12} rotation, and vice versa for the R_{23}R_{12}R_{23} parametrization.

LaTeX, 19 pages. References added, minor changes in text. Version published in Phys. Rev. D

References in corpus (2)

• On the Parametrization of Flavor Mixing in the Standard Model
• Reconstruction of quark mass matrices in the NNI form from the experimental data

Cited by in corpus (22)

• Theory of neutrinoless double beta decay
• Flavor mixings and textures of the fermion mass matrices
• Unique Mass Texture for Quarks and Leptons
• Possible textures of the fermion mass matrices
• The double mass hierarchy pattern: simultaneously understanding quark and lepton mixing
• Hermitian quark mass matrices with four texture zeros
• Solving the fermionic mass hierarchy of the standard model
• Investigating non-Fritzsch like texture specific quark mass matrices
• A new solution of the fermionic mass hierarchy of the standard model
• Texture Specific Mass Matrices and CP violating asymmetry in B^o_d({\bar B}^o_d) -> ψK_S
• Flavour bounds on the flavon of a minimal and a non-minimal ${\mathcal{Z}}_2\times {\mathcal{Z}}_N$ symmetry
• Origin of the VEVs hierarchy
• Flavonic dark matter
• Finding flavons at colliders
• Texture zeros and hierarchical masses from flavour (mis)alignment
• Lepton and quark mixing patterns with generalized CP transformations
• Investigating texture six zero lepton mass matrices
• Neutrinos Meet Supersymmetry: Quantum Aspects of of Neutrinophysics in Supersymmetric Theories
• A Family-nonuniversal $U(1{)}^{\prime }$ Model for Excited Beryllium Decays
• The mass ratios parametrization
• Explaining Fermions Mass and Mixing Hierarchies through $U(1{)}_X$ and $Z_2$ Symmetries
• The flavor-blind principle: A symmetrical approach to the Gatto-Sartori-Tonin relation