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Title: 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

Abstract

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.

Authors:
;  [1]
  1. Physics Department, North-Eastern 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 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRAND UNIFIED THEORY; SO GROUPS; SU-2 GROUPS; DECAY; KALUZA-KLEIN THEORY; KAONS; MASS; NEUTRINOS; NEUTRON OSCILLATION; QUANTUM GRAVITY; SU-3 GROUPS; SU-4 GROUPS; SYMMETRY BREAKING; U-1 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; UNIFIED-FIELD THEORIES; 645400* - High Energy Physics- Field Theory; 645300 - High Energy Physics- Particle Invariance Principles & Symmetries

Citation Formats

Patra, P K, and Parida, M K. 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. United States: N. p., 1991. Web. doi:10.1103/PhysRevD.44.2179.
Patra, P K, & Parida, M K. 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. United States. https://doi.org/10.1103/PhysRevD.44.2179
Patra, P K, and Parida, M K. Tue . "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". United States. https://doi.org/10.1103/PhysRevD.44.2179.
@article{osti_5150034,
title = {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},
author = {Patra, P K and Parida, M K},
abstractNote = {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.},
doi = {10.1103/PhysRevD.44.2179},
url = {https://www.osti.gov/biblio/5150034}, journal = {Physical Review, D (Particles Fields); (United States)},
issn = {0556-2821},
number = ,
volume = 44:7,
place = {United States},
year = {1991},
month = {10}
}