Intermediate left-right gauge symmetry, unification of couplings, and fermion masses in supersymmetric SO(10)xS{sub 4}

Journal Article · Mon Sep 01 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.053004· OSTI ID:21250704

Parida, M K ^[1]

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1. National Institute for Science Education and Research, Institute of Physics Campus, Sachivalaya Marg, Bhubaneswar 751005 (India)

If left-right gauge theory, SU(2){sub L}xSU(2){sub R}xU(1){sub B-L}xSU(3){sub C}(g{sub L}=g{sub R})({identical_to}G{sub 2213}), occurs as an intermediate symmetry in a grand unified theory then, apart from other advantages, it is possible to obtain the seesaw scale necessary to understand small neutrino masses with Majorana coupling of order unity. Barring threshold or nonrenormalizable gravitational effects at the GUT scale, or the assumed presence of additional light scalar particles of unprescribed origin, all other attempts to achieve manifest one-loop gauge coupling unification in supersymmetry SO(10) with such intermediate symmetry have not been successful so far. Attributing this failure to lack of flavor symmetry in the grand unified theory, we show how the spontaneous symmetry breaking of SO(10)xS{sub 4} leads to such left-right intermediate breaking scale extending over the range M{sub R}{approx_equal}5x10{sup 9} GeV to 10{sup 15} GeV. All the charged fermion masses are fitted at the intermediate seesaw scale, M{sub N}{approx_equal}M{sub R}{approx_equal}4x10{sup 13} GeV which is obtained with Majorana coupling f{sub 0}{approx_equal}1. Using type-I seesaw and a constrained parametrization in which CP-violation originates only from the quark sector, in addition to other predictions made in the neutrino sector, the reactor mixing angle is found to be {theta}{sub 13}{approx_equal}3 deg. - 5 deg. which is in the range accessible to ongoing experiments. The leptonic Dirac phase turns out to be {delta}{approx_equal}2.9-3.1 radians with the predicted values of Jarlskog invariant J{sub CP}{approx_equal}2.95x10{sup -5}-10{sup -3}.

• OSTI ID: 21250704
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
CP INVARIANCE
EEV RANGE
FAILURES
FLAVOR MODEL
FORECASTING
GAUGE INVARIANCE
GRAND UNIFIED THEORY
MAJORANA THEORY
MASS
NEUTRINOS
QUARKS
SO-10 GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUPERSYMMETRY
SYMMETRY BREAKING
TEV RANGE 10-100
U-1 GROUPS
WEINBERG ANGLE