Spontaneous-compactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry

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

DOI:https://doi.org/10.1103/PhysRevD.44.2179· OSTI ID:5150034

Patra, P K; Parida, M K ^[1]

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1. Physics Department, North-Eastern Hill University, Bijni Complex, Laitumkhrah, Shillong 793 003 (India)

The impact of five-dimensional operators, which might originate from compactification of extra dimensions, is investigated on SO(10) grand unification with Pati-Salam (PS) symmetry as the intermediate gauge group. When the PS group is left-right symmetric, the resulting equation for sin{sup 2}{theta}{sub {ital W}} is noted to be independent of the parameter ({epsilon}) of the nonrenormalizable Lagrangian, although the unification mass ({ital M}{sub {ital U}}) does depend upon it. In addition to solutions of the type obtained by Shafi and Wetterich, we find new predictions with a much larger grand-unification mass, consistent with a larger compactification scale. When parity and SU(2){sub {ital R}} breaking are decoupled, the equation for ln({ital M}{sub {ital U}}/{ital M}{sub {ital W}}) is independent of {epsilon}, but sin{sup 2}{theta}{sub {ital W}} does depend upon it. The most interesting predictions include observable {ital n}-{ital {bar n}} oscillations, rare kaon decays, and small neutrino masses, that are, however, measurable in the laboratory for {nu}{sub {mu}} and {nu}{sub {tau}}, corresponding to the low intermediate scale {ital M}{sub {ital C}}{similar to}10{sup 5}--10{sup 6} GeV. In such cases {ital M}{sub {ital U}} is large and the solutions are consistent with a larger compactification scale.

• OSTI ID: 5150034
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:7; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
GRAND UNIFIED THEORY
HADRONS
KALUZA-KLEIN THEORY
KAONS
LEPTONS
LIE GROUPS
MASS
MASSLESS PARTICLES
MATHEMATICAL MODELS
MESONS
NEUTRINOS
NEUTRON OSCILLATION
PARTICLE MODELS
PSEUDOSCALAR MESONS
QUANTUM FIELD THEORY
QUANTUM GRAVITY
SO GROUPS
STRANGE MESONS
STRANGE PARTICLES
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SU-4 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES