Quark masses and mixing angles from universal seesaw mechanism

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.208· OSTI ID:6965143

Davidson, A ^[1]; Ranfone, S ^[2]; Wali, K C ^[3]

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1. Department of Physics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel (IL)
2. Physics Department, Syracuse University, Syracuse, New York 13244-1130 Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Pisa, (Italy)
3. Physics Department, Syracuse University, Syracuse, New York 13244-1130 (USA)

A universal seesaw mechanism is invoked to account for the observed fermion mass hierarchies. In the framework of left-right symmetry, heavy fermions (mass scale {chi}) which are SU(2){sub {ital L}}{direct product}SU(2){sub {ital R}} singlets are postulated while retaining the simplest possible Higgs system: namely, {phi}(1,2,1){sub +1}{direct sum}{phi}(1,1,2){sub +1} accompanied by a left-right singlet {sigma}(1,1,1){sub 0} in the standard SU(3){sub {ital C}}{direct product}SU(2){sub {ital L}}{direct product}SU(2){sub {ital R}}{times}U(1){sub {ital B}{minus}{ital L}} notation. Every conventional quark and lepton is accompanied by a nonmirror singlet heavy fermion, so that the associated mass matrix is doubled and has the seesaw form usually associated only with the neutrino mass matrix. In the single-generation case, the model provides a plausible explanation for the mass hierarchy {ital m}{sub {ital e},{ital u},{ital d}}{similar to}10{sup {minus}4}M{sub W} and predicts {ital m}{sub {nu}{sub {ital e}}}m{sub {nu}{sub R}}{approx}m{sub e}{sup 2}, thus accounting for the superlightness of neutrinos. Combined with a U(1) axial symmetry, the mechanism provides a formalism in which the generations are distinguished and constraints emerge on the allowed form of mass matrices. In this paper, we consider the realistic case of three generations in a simplified version of the model in which {ital CP} violation does not arise from the gauge sector. Choosing the U(1){sub {ital A}} quantum numbers so that the mass matrices are of the Fritzsch type, we calculate experimentally measured Cabibbo-Kobayashi-Maskawa matrix elements {ital V}{sub {ital us}}, {ital V}{sub {ital ub}}, and {ital V}{sub {ital cs}} and derive their dependence on quark mass parameters.

• DOE Contract Number: FG02-85ER40231
• OSTI ID: 6965143
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:1; 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
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CABIBBO ANGLE
CP INVARIANCE
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HIGGS MODEL
INVARIANCE PRINCIPLES
KOBAYASHI-MASKAWA MATRIX
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
MIXING RATIO
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARKS
STANDARD MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
VACUUM STATES