O(5) x U(1) electroweak gauge theory and the triggering of the neutrino oscillations by 't Hooft-Polyakov monopole

Journal Article · Tue Nov 01 04:00:00 EST 1988 · Int. J. Theor. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00671314· OSTI ID:6141866

Samiullah, M

The O(5) x U(1) electroweak gauge theory with two particle generations of quarks and leptons is considered. With spontaneous symmetry breaking down to the O(3) level, the 't Hooft-Polyakov SO(3) monopole theory along with its triplet of scalar fields is reproduced and developed to the extent necessary to establish the results. It is shown that the existence of the monopole triggers the Cabibbo rotation of d and s along with the v/sub e/ and u/sub ..mu../ flavors, which in turn results in the neutrino oscillations. The neutrino oscillation angle turns out to be the Cabibbo angle. Using the experimental data of Baker et al., an upper limit is set on ..delta.. m/sup 2/ less than or equal to 1.3 eV/sup 2/ (..delta..m/sup 2/ identical to m/sub ..mu..//sup 2/ - m/sub e//sup 2/). Furthermore, it is exactly the Cabibbo angle in which the isovector Phi has to be rotated so as to spontaneously break the symmetry down to the O(3) level, together with, on the SO(3) sector, to the U(1) level. It turns out that the Weinberg angle is twice the Cabibbo angle, a result already noted elsewhere.

• Research Organization: International Centre for Theoretical Physics, Trieste (Italy)
• OSTI ID: 6141866
• Journal Information: Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:11; ISSN IJTPB
• Country of Publication: United States
• Language: English

Related Subjects

645202 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM OPERATORS
CABIBBO ANGLE
DYNAMICAL GROUPS
ELECTRON NEUTRINOS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LEPTONS
LIE GROUPS
MAGNETIC MONOPOLES
MASSLESS PARTICLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONOPOLES
MULTIPLETS
MUON NEUTRINOS
NEUTRINO OSCILLATION
NEUTRINOS
O GROUPS
PARTICLE MODELS
PARTICLE MULTIPLETS
PARTICLE PRODUCTION
PAULI SPIN OPERATORS
POSTULATED PARTICLES
QUANTUM OPERATORS
QUARKS
SCALAR FIELDS
SO GROUPS
SO-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL