Spontaneouscompactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry
Abstract
The impact of fivedimensional operators, which might originate from compactification of extra dimensions, is investigated on SO(10) grand unification with PatiSalam (PS) symmetry as the intermediate gauge group. When the PS group is leftright 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 grandunification 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.
 Authors:

 Physics Department, NorthEastern Hill University, Bijni Complex, Laitumkhrah, Shillong 793 003 (India)
 Publication Date:
 OSTI Identifier:
 5150034
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review, D (Particles Fields); (United States)
 Additional Journal Information:
 Journal Volume: 44:7; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAND UNIFIED THEORY; SO GROUPS; SU2 GROUPS; DECAY; KALUZAKLEIN THEORY; KAONS; MASS; NEUTRINOS; NEUTRON OSCILLATION; QUANTUM GRAVITY; SU3 GROUPS; SU4 GROUPS; SYMMETRY BREAKING; U1 GROUPS; BOSONS; ELEMENTARY PARTICLES; FERMIONS; FIELD THEORIES; HADRONS; LEPTONS; LIE GROUPS; MASSLESS PARTICLES; MATHEMATICAL MODELS; MESONS; PARTICLE MODELS; PSEUDOSCALAR MESONS; QUANTUM FIELD THEORY; STRANGE MESONS; STRANGE PARTICLES; SU GROUPS; SYMMETRY GROUPS; U GROUPS; UNIFIED GAUGE MODELS; UNIFIEDFIELD THEORIES; 645400*  High Energy Physics Field Theory; 645300  High Energy Physics Particle Invariance Principles & Symmetries
Citation Formats
Patra, P K, and Parida, M K. Spontaneouscompactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry. United States: N. p., 1991.
Web. doi:10.1103/PhysRevD.44.2179.
Patra, P K, & Parida, M K. Spontaneouscompactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry. United States. https://doi.org/10.1103/PhysRevD.44.2179
Patra, P K, and Parida, M K. Tue .
"Spontaneouscompactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry". United States. https://doi.org/10.1103/PhysRevD.44.2179.
@article{osti_5150034,
title = {Spontaneouscompactification effects on SO(10) grand unification with SU(2) sub L times SU(2) sub R times SU(4) sub C intermediate symmetry},
author = {Patra, P K and Parida, M K},
abstractNote = {The impact of fivedimensional operators, which might originate from compactification of extra dimensions, is investigated on SO(10) grand unification with PatiSalam (PS) symmetry as the intermediate gauge group. When the PS group is leftright 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 grandunification 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.},
doi = {10.1103/PhysRevD.44.2179},
url = {https://www.osti.gov/biblio/5150034},
journal = {Physical Review, D (Particles Fields); (United States)},
issn = {05562821},
number = ,
volume = 44:7,
place = {United States},
year = {1991},
month = {10}
}