Natural Mass Matrices

Abstract

We introduce the idea of natural mass matrices, an organizing principle useful in the search for GUT scale quark mass matrix patterns that are consistent with known CKM constraints and quark mass eigenvalues. An application of this idea is made in the context of SUSY GUTs and some potentially ``successful'' GUT scale mass patterns are found. The CKM predictions of these patterns are presented and some relevant strong CP issues are discussed.

28 pages, LaTex, Sec.5 on strong CP revised

References in corpus (8)

• Observation of Top Quark Production in Pbar-P Collisions
• Observation of the Top Quark
• Stitching the Yukawa Quilt
• A Systematic SO(10) Operator Analysis for Fermion Masses
• Mass Matrix Textures From Superstring Inspired SO(10) Models
• Precise predictions for mt, Vcb and tan
• New Approach for the Construction of Fermion Mass Matrices in SO(10) SUSY GUTS
• Can a Measurement of the $B_s-{\overline{B}}_s$ Mass Difference Establish the CKM Paradigm?

Cited by in corpus (34)

• Flavor mixings and textures of the fermion mass matrices
• A 3-3-1 model with right-handed neutrinos based on the $\Delta \left(27\right)$ family symmetry
• The $\Delta (27)$ flavor 3-3-1 model with neutral leptons
• A variant of 3-3-1 model for the generation of the SM fermion mass and mixing pattern
• Unique Mass Texture for Quarks and Leptons
• Fritzsch-Xing mass matrices, $V_{td}$ and CP Violating phase $\delta$
• Textured Minimal and Extended Supergravity Unification and Implications for Proton Stability
• Exploring the parameter space of texture 4 zero quark mass matrices
• A novel Randall-Sundrum model with $S_3$ flavor symmetry
• The CP violating phase δ_{13} and the quark mixing angles θ_{13}, θ_{23} and θ_{12} from flavour permutational symmetry breaking
• Finding a unique texture for quark mass matrices
• Implications of texture 4 zero lepton mass matrices for U_{e3}
• Scale dependence of the quark masses and mixings: leading order
• Hermitian quark mass matrices with four texture zeros
• Classification and Application of Triangular Quark Mass Matrices
• Minimal Weak Basis Textures and Quark Mixing Data
• Correlations between quark mass and flavor mixing hierarchies
• Viable textures for the fermion sector
• Precise bounds on the Higgs boson mass
• Lower bound on neutrino mass and possible CP violation in neutrino oscillations
• Hierarchies of quark masses and the mixing matrix in the standard theory
• Hierarchy and Up-Down Parallelism of Quark Mass Matrices
• Clues towards unified textures
• Natural Quark Mass Patterns
• Stable lepton mass matrices
• Quark mass matrices and observable quantities
• Lepton textures and neutrino oscillations
• Quark mixings as a test of a new symmetry of quark Yukawa couplings
• Exploring the predictability of symmetric texture zeros in quark mass matrices
• Natural Neutrino Mass Matrix
• Generic lepton mass matrices and neutrino oscillations
• Fermion mass matrices, textures and beyond
• Implications of ${\delta }_l^{CP}\sim 270^{\circ }$ and ${\theta }_{23}\gtrsim 45^{\circ }$ for texture specific lepton mass matrices and $0\nu \beta \beta$ decay
• Quarks, Squarks and Textures