7,061 research outputs found

### Atmospheric and Solar Neutrino Oscillations in \nuMSSM and Beyond

We show how a unified description of the various two-flavor neutrino
oscillation solutions, allowed by the atmospheric and solar neutrino
experiments, are naturally realized within the framework of $\nu$MSSM (MSSM
augmented with the seesaw mechanism) and beyond, especially grand unified
theories. A general mechanism for achieving maximal mixing to resolve the
atmospheric anomaly is discussed, and applied to the flipped SU(5) model.
Except in the case of MSSM and SU(5), a light sterile neutrino is an inevitable
consequence of our considerations. The bi-maximal neutrino mixing scenario is
one of the options considered. Neutrino hot dark matter can arise in models
with maximal $\nu_{\mu}-\nu_s$ oscillations. A ${\cal U}(1)$ flavor symmetry,
motivated by the charged fermion mass hierarchies and the magnitudes of the CKM
matrix elements, plays a central role.Comment: 14 pp, LATEX. Typos are corrected, possibilities of the neutrino HDM
in various scenarios are emphasize

### An Improved Supersymmetric SU(5)

By supplementing minimal supersymmetric SU(5) (MSSU(5)) with a flavor ${\cal
U}(1)$ symmetry and two pairs of $\bar{15}+15$ `matter' supermultiplets, we
present an improved model which explains the charged fermion mass hierarchies
and the magnitudes of the CKM matrix elements, while avoiding the undesirable
asymptotic mass relations $m_s=m_{\mu}, m_d/m_s = m_e/m_{\mu}$. The strong
coupling $\alpha_s (M_Z)$ is predicted to be approximately 0.115, and the
proton lifetime is estimated to be about five times larger than the MSSU(5)
value. The atmospheric and solar neutrino puzzles are respectively resolved via
maximal $\nu_{\mu}-\nu_{\tau}$ and small mixing angle $\nu_e-\nu_s$ MSW
oscillations, where $\nu_s$ denotes a sterile neutrino. The ${\cal U}(1)$
symmetry ensures not only a light $\nu_s$ but also automatic `matter' parity.Comment: 11 pp. LATEX. Version with minor addition accepted for publication in
Physics Letters

### Bi-maximal Neutrino Mixings And Proton Decay In SO(10) With Anomalous Flavor ${\cal U}(1)$

By supplementing supersymmetric SO(10) with an anomalous ${\cal U}(1)$ flavor
symmetry and additional `matter' superfields carrying suitable ${\cal U}(1)$
charges, we explain the charged fermion mass hierarchies, the magnitudes of the
CKM matrix elements, as well as the solar and atmospheric neutrino data. We
stress bi-maximal vacuum neutrino mixings, and indicate how the small or large
mixing angle MSW solution can be incorporated. The ${\cal U}(1)$ symmetry also
implies that $\tau_{p\to K\nu}[SO(10)]\sim (10-100)\cdot \tau_{p\to K\nu}[{\rm
minimal}~SU(5)]$.Comment: 4 pages, revte

### Coannihilation Scenarios and Particle Spectroscopy in SU(4)_c x SU(2)_L x SU(2)_R

We identify a variety of coannihilation scenarios in a supersymmetric SU(4)_c
x SU(2)_L x SU(2)_R model with discrete left-right symmetry. Non-universal
gaugino masses, compatible with the gauge symmetry, play an essential role in
realizing gluino and bino-wino coannihilation regions that are consistent with
the WMAP dark matter constraints. We also explore regions of the parameter
space in which the little hierarchy problem is partially resolved. We present
several phenomenologically interesting benchmark points and the associated
sparticle and Higgs mass spectra.Comment: 16 pages, 5 figures and 1 tabl

### Guaranteeing Spatial Uniformity in Diffusively-Coupled Systems

We present a condition that guarantees spatially uniformity in the solution
trajectories of a diffusively-coupled compartmental ODE model, where each
compartment represents a spatial domain of components interconnected through
diffusion terms with like components in different compartments. Each set of
like components has its own weighted undirected graph describing the topology
of the interconnection between compartments. The condition makes use of the
Jacobian matrix to describe the dynamics of each compartment as well as the
Laplacian eigenvalues of each of the graphs. We discuss linear matrix
inequalities that can be used to verify the condition guaranteeing spatial
uniformity, and apply the result to a coupled oscillator network. Next we turn
to reaction-diffusion PDEs with Neumann boundary conditions, and derive an
analogous condition guaranteeing spatial uniformity of solutions. The paper
contributes a relaxed condition to check spatial uniformity that allows
individual components to have their own specific diffusion terms and
interconnection structures

### Flavor Problem, Proton Decay And Neutrino Oscillations In SUSY Models With Anomalous ${\cal U}(1)$

We discuss how realistic supersymmetric models can be constructed by
employing an anomalous ${\cal U}(1)$ flavor symmetry which also mediates
supersymmetry breaking. A judicious choice of ${\cal U}(1)$ charges enables the
first two squark families to be sufficiently heavy ($\stackrel{>}{_\sim}10$
TeV), so that flavor changing neutral currents as well as dimension five
nucleon decay are adequately suppressed. Using the SU(5) example, the charged
fermion mass hierarchies, magnitudes of the CKM matrix elements, as well as the
observed neutrino oscillations are simultaneously accommodated. We estimate the
proton lifetime to be $\tau_p\sim 10^3\cdot \tau_p[{\rm minimal} SU(5)]$, with
the decay mode $p\to K\mu$ being comparable to $p\to K\nu_{\mu, \tau}$.Comment: Additional references included. Version to appear in Phys. Lett.

### Application of fuzzy linear regression models for predicting tumor size of colorectal cancer in Malaysia's Hospital

Fuzzy linear regression analysis has become popular among researchers and standard model in analysing data vagueness phenomena. These models were represented by five statistical models such as multiple linear regression, fuzzy linear regression (Tanaka), fuzzy linear regression (Ni), extended fuzzy linear regression under benchmarking model (Chung) and fuzzy linear regression with symmetric parameter (Zolfaghari). A case study in colorectal cancer (CRC) data at the general hospital in Kuala Lumpur was carried out using the five models as mention above. Secondary data of 180 colorectal cancer patients who received treatment in general hospital were recorded by nurses and doctors. Twenty five independent variables with different combination of variable types were considered to find the best models to predict the size of tumor colorectal cancer. The quality of life among CRC patients which is to detect the early CRC stage is still very poor, not implemented and divulged as a nationwide programme. The main objective of this study is to determine the best model by predicting the size of tumor of CRC. Moreover, this study wants to identify the factors and symptoms that contribute the size of tumor. The comparisons among the five models were carried out to find the best model by using statistical measurements of mean square error (MSE) and root mean square error (RMSE). The results showed that the fuzzy linear regression with symmetric parameter (Zolfaghari) was found to be the best model, having the lowest MSE and RMSE value by 98.21 and 9.91. Hence, the size of tumor could be predicted by managing twenty five independent variables

### Gravity Waves and Gravitino Dark Matter in $\mu$-Hybrid Inflation

We propose a novel reformulation of supersymmetric (more precisely $\mu$-)
hybrid inflation based on a local U(1) or any suitable extension of the minimal
supersymmetric standard model (MSSM) which also resolves the $\mu$ problem. We
employ a suitable Kahler potential which effectively yields quartic inflation
with non-minimal coupling to gravity. Imposing the gravitino Big Bang
Nucleosynthesis (BBN) constraint on the reheat temperature ($T_r \lesssim 10^6$
GeV) and requiring a neutralino LSP, the tensor to scalar ratio ($r$) has a
lower bound $r \gtrsim 0.004$. The U(1) symmetry breaking scale lies between
$10^8$ and $10^{12}$ GeV. We also discuss a scenario with gravitino dark matter
whose mass is a few GeV.Comment: 5 pages, 4 figures, revised version to appear in Physics Letters

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