Is the Cabibbo-Kobayashi-Maskawa matrix symmetric

Journal Article · Thu Aug 01 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.923· OSTI ID:5443287

Branco, G C; Parada, P A ^[1]

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1. Centro de Fisica da Materia Codensada, Instituto Nacional de Investigacao Cientifica, Av. Prof. Gama Pinto 2, 1699-Codex, Portugal (PT)

We examine some of the consequences of having a Cabibbo-Kobayashi-Maskawa (CKM) matrix {ital V} with symmetric moduli. We define an asymmetry parameter for a three-generation CKM matrix which can be simply expressed in terms of the eigenstates and the eigenvalues of {ital V}. The fact that experimentally the asymmetry is small implies that two of the eigenvalues of {ital V} are almost degenerate and/or the eigenstates of {ital V} are close to being real. We point out that it is a special feature of three generations that a symmetric {vert bar}{ital V}{vert bar} implies that {ital V} can be made symmetric by appropriate choice of quark field phases. We analyze a recent ansatz by Kielanowski which leads to a symmetric CKM matrix. A simple parametrization for a symmetric CKM matrix is presented and consequences for the top-quark mass and the ratio {vert bar}{ital V}{sub {ital u}{ital b}}{vert bar}/{vert bar}{ital V}{sub {ital c}{ital b}}{vert bar} are examined.

• OSTI ID: 5443287
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:3; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
CABIBBO ANGLE
CP INVARIANCE
EIGENSTATES
EIGENVALUES
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
KOBAYASHI-MASKAWA MATRIX
MASS
MATRICES
POSTULATED PARTICLES
QUARKS
TOP PARTICLES
UNIFIED-FIELD THEORIES