scholarly journals RANDALL–SUNDRUM AND FLIPPED SU(5)

2008 ◽  
Vol 23 (19) ◽  
pp. 2915-2931 ◽  
Author(s):  
BEN DUNDEE ◽  
GERALD CLEAVER
Keyword(s):  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Matter Content ◽  
Fine Tuning ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Baryon Decay ◽  
Proton Lifetime ◽  
Bulk Scalar Field ◽  
Dimensional Coupling

In this paper, we construct a model based on a flipped SU(5) partial grand unified theory, within the framework of the Randall–Sundrum (RS1) proposal. Breaking of [Formula: see text] is achieved using a bulk scalar field in the 10 of SU(5), Φ, which gains a vacuum expectation value <Φ> ~ 3 × 1015 GeV . We are able to retain the successes of the [Formula: see text] phenomenology, specifically the confinement of all fields to the smallest (1, [Formula: see text], and 10) representations of SU(5). We derive the beta functions, and point out some constraints on bulk matter content implied by the runnings (and positivity) of the five-dimensional coupling. Finally, we comment on baryon decay and show the fine-tuning problem required to prevent an exponentially short proton lifetime.

scholarly journals Modular $S_3$-invariant flavor model in SU(5) grand unified theory

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Tatsuo Kobayashi ◽  
Yusuke Shimizu ◽  
Kenta Takagi ◽  
Morimitsu Tanimoto ◽  
Takuya H. Tatsuishi
Keyword(s):  
Modular Forms ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Double Beta Decay ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Mass Matrices ◽  
Charge Parity ◽  
Charged Leptons ◽  
Leptonic Charge

Abstract We present a flavor model with $S_3$ modular invariance in the framework of SU(5) grand unified theory (GUT). The $S_3$ modular forms of weights $2$ and $4$ give the quark and lepton mass matrices with a common complex parameter, the modulus $\tau$. The GUT relation of down-type quarks and charged leptons is imposed by the vacuum expectation value (VEV) of the adjoint 24-dimensional Higgs multiplet in addition to the VEVs of $5$ and $\bar 5$ Higgs multiplets of SU(5). The observed Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata mixing parameters as well as the mass eigenvalues are reproduced properly. We discuss the leptonic charge–parity phase and the effective mass of the neutrinoless double beta decay with the sum of neutrino masses.

scholarly journals Vacuum Expectation Value Profiles of the Bulk Scalar Field in the Generalized Randall-Sundrum Model

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
A. Tofighi ◽  
M. Moazzen ◽  
A. Farokhtabar
Keyword(s):  
Scalar Field ◽  
Boundary Conditions ◽  
Cosmological Constant ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Brane World ◽  
Dirichlet Boundary Conditions ◽  
World Model ◽  
Expectation Value ◽  
Bulk Scalar Field

In the generalized Randall-Sundrum warped brane-world model the cosmological constant induced on the visible brane can be positive or negative. In this paper we investigate profiles of vacuum expectation value of the bulk scalar field under general Dirichlet and Neumann boundary conditions in the generalized warped brane-world model. We show that the VEV profiles generally depend on the value of the brane cosmological constant. We find that the VEV profiles of the bulk scalar field for a visible brane with negative cosmological constant and positive tension are quite distinct from those of Randall-Sundrum model. In addition we show that the VEV profiles for a visible brane with large positive cosmological constant are also different from those of the Randall-Sundrum model. We also verify that Goldberger and Wise mechanism can work under nonzero Dirichlet boundary conditions in the generalized Randall-Sundrum model.

Constraints on proton lifetime andsin2θWin SO(10) grand unified theory

1983 ◽  
Vol 28 (7) ◽  
pp. 1731-1737 ◽  
Author(s):  
Y. Tosa ◽  
G. C. Branco ◽  
R. E. Marshak
Keyword(s):  
Unified Theory ◽  
Grand Unified Theory ◽  
Proton Lifetime

scholarly journals Proton Lifetime in an SO(10) Grand Unified Theory

1983 ◽  
Vol 69 (5) ◽  
pp. 1505-1523 ◽  
Author(s):  
T. Matsuki ◽  
N. Yamamoto
Keyword(s):  
Unified Theory ◽  
Grand Unified Theory ◽  
Proton Lifetime

scholarly journals Muon anomalous magnetic moment and Higgs potential stability in the 331 model from SU(6)

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
Tianjun Li ◽  
Junle Pei ◽  
Wenxing Zhang
Keyword(s):  
Magnetic Moments ◽  
Sufficient Conditions ◽  
Vacuum Expectation ◽  
Higgs Potential ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Expectation Values ◽  
Muon Anomalous Magnetic Moment ◽  
Muon Mass ◽  
Potential Stability

AbstractWe consider a $$SU(3)_c \times SU(3)_L \times U(1)_X$$ S U ( 3 ) c × S U ( 3 ) L × U ( 1 ) X model from a SU(6) Grand Unified Theory (GUT). In order to explain the anomalous magnetic moments of muon and electron, we introduce two new scalar triplets without vacuum expectation values (VEVs) so that the leading contributions to $$\Delta a_{\mu }$$ Δ a μ and $$\Delta a_{e}$$ Δ a e can avoid the suppression from small muon mass. In addition, the Higgs potential stability of this 331 model is studied by giving a set of sufficient conditions to ensure the boundedness from below of the potential.

PROTON DECAY IN SO(10) SUPERSYMMETRIC GRAND UNIFIED THEORIES

2001 ◽  
Vol 16 (supp01b) ◽  
pp. 846-848
Author(s):  
RODOVAN DERMÍŠEK
Keyword(s):  
Parameter Space ◽  
Proton Decay ◽  
Low Energy ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Family Symmetry ◽  
Energy Data ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Proton Lifetime

We calculate the proton lifetime in a SO(10) supersymmetric grand unified theory [SUSY GUT] with U(2) family symmetry. This model fits the low energy data, including the recent data for neutrino oscillations. We discuss the predictions of this model for the proton lifetime in light of recent SuperKamiokande results which significantly constrain the SUSY parameter space of the model.

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