6533b831fe1ef96bd1298563
RESEARCH PRODUCT
Triangular mass matrices of quarks and Cabibbo-Kobayashi-Maskawa mixing
Florian ScheckRainer Häusslingsubject
QuarkPhysicsNuclear and High Energy PhysicsParticle physicsCabibbo–Kobayashi–Maskawa matrixTriangular matrixFOS: Physical sciencesUnitary transformationMass matrixlaw.inventionHigh Energy Physics - PhenomenologyStandard Model (mathematical formulation)Theoretical physicsHigh Energy Physics - Phenomenology (hep-ph)Invertible matrixlawMixing (physics)description
Every nonsingular fermion mass matrix, by an appropriate unitary transformation of right-chiral fields, is equivalent to a triangular matrix. Using the freedom in choosing bases of right-chiral fields in the minimal standard model, reduction to triangular form reduces the well-known ambiguities in reconstructing a mass matrix to trivial phase redefinitions. Furthermore, diagonalization of the quark mass sectors can be shifted to one charge sector only, without loosing the concise and economic triangular form. The corresponding effective triangular mass matrix is reconstructed, up to trivial phases, from the moduli of the CKM matrix elements, and vice versa, in a unique way. A new formula for the parametrization independent CP-measure in terms of observables is derived and discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-06-01 | Physical Review D |