scholarly journals CP4 miracle: shaping Yukawa sector with CP symmetry of order four

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
P.M. Ferreira ◽  
Igor P. Ivanov ◽  
Enrique Jiménez ◽  
Roman Pasechnik ◽  
Hugo Serôdio
Keyword(s):  
Cp Symmetry ◽  
Yukawa Sector ◽  
Order Four

scholarly journals CP SYMMETRY AND FERMION MASSES IN O(10) GRAND UNIFICATION MODELS

1996 ◽  
Vol 11 (34) ◽  
pp. 2703-2713 ◽  
Author(s):  
DAN-DI WU ◽  
YUE-LIANG WU
Keyword(s):  
Coupling Constants ◽  
Grand Unification ◽  
Global Symmetry ◽  
Mass Relation ◽  
Flavor Changing ◽  
Fermion Masses ◽  
Physical Representation ◽  
Cp Symmetry ◽  
Yukawa Sector ◽  
O 10

O(10) grand unification models which do not necessarily have an extra global symmetry are discussed, taking the model with one 10-plet in the Yukawa sector as an example. A strong correlation between mass ratios and CP is found. The mass relation mt/mb=vu/vd is recovered when GW=0; and another special relation mt/mb=GE/GW appears when vd=0, where GE,W are Yukawa coupling constants and vu,d are vevs. To facilitate this discussion, a set of O(10) γ-matrices is offered based on a physical representation of the spinors and that of the vector of the SO(10) group. Flavor changing neutral currents in such models are also discussed.

scholarly journals Constraining CP4 3HDM with Top Quark Decays

Universe ◽  
2021 ◽  
Vol 7 (6) ◽  
pp. 197
Author(s):  
Igor P. Ivanov ◽  
Semyon A. Obodenko
Keyword(s):  
Top Quark ◽  
Minimal Model ◽  
Higgs Doublet ◽  
Hadronic Decays ◽  
Quark Decays ◽  
Doublet Model ◽  
Almost All ◽  
Cp Symmetry ◽  
Yukawa Sector ◽  
Accidental Symmetry

CP4 3HDM is a unique three-Higgs-doublet model equipped with a higher-order CP-symmetry in the scalar and Yukawa sector. Based on a single assumption (the minimal model with a CP-symmetry of order 4 and no accidental symmetry), it leads to a remarkable correlation between its scalar and Yukawa sectors, which echoes in its phenomenology. A recent scan of the parameter space of CP4 3HDM under the assumption of scalar alignment identified a few dozens of points which passed many flavor constraints. In the present work, however, we show that almost all of these points are now ruled out by the recent LHC searches of t→H+b with subsequent hadronic decays of H+. Apart from a few points with charged Higgses heavier than the top quark, only one point survives all the checks, the model with an exotic, non-2HDM-like generation pattern of H+ couplings with quarks. One can expect many more points with exotic H+ couplings to quarks if the scalar alignment assumption is relaxed.

Effect of Viscous Dissipation on MHD Williamson Nanofluid Flow in a Porous Medium

2019 ◽  
Vol 8 (3) ◽  
pp. 5795-5802 ◽  
Keyword(s):  
Porous Medium ◽  
Steady State ◽  
Numerical Solution ◽  
Viscous Dissipation ◽  
Flow Problem ◽  
Numerical Study ◽  
Steady State Flow ◽  
Nanofluid Flow ◽  
Shooting Technique ◽  
Order Four

The main objective of this paper is to focus on a numerical study of viscous dissipation effect on the steady state flow of MHD Williamson nanofluid. A mathematical modeled which resembles the physical flow problem has been developed. By using an appropriate transformation, we converted the system of dimensional PDEs (nonlinear) into coupled dimensionless ODEs. The numerical solution of these modeled ordinary differential equations (ODEs) is achieved by utilizing shooting technique together with Adams-Bashforth Moulton method of order four. Finally, the results of discussed for different parameters through graphs and tables.

scholarly journals Unsteady hybrid-nanofluid flow comprising ferrousoxide and CNTs through porous horizontal channel with dilating/squeezing walls

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Muhammad Bilal ◽  
Hamna Arshad ◽  
Muhammad Ramzan ◽  
Zahir Shah ◽  
Poom Kumam
Keyword(s):  
Carbon Nanotubes ◽  
Differential Equations ◽  
Numerical Approach ◽  
Hybrid Nanofluid ◽  
Multi Wall Carbon Nanotubes ◽  
Porous Walls ◽  
Industrial Cleaning ◽  
Energy Equations ◽  
Single Wall Nanotubes ◽  
Order Four

AbstractThe key objective of the present research is to examine the hybrid magnetohydrodynamics (MHD) nanofluid (Carbon-nanotubes and ferrous oxide–water) CNT–Fe3O4/H2 flow into a horizontal parallel channel with thermal radiation through squeezing and dilating porous walls. The parting motion is triggered by the porous walls of the channel. The fluid flow is time-dependent and laminar. The channel is asymmetric and the upper and lower walls are distinct in temperature and are porous. With the combination of nanoparticles of Fe3O4 and single and multi-wall carbon nanotubes, the hybrid nanofluid principle is exploited. By using the similarity transformation, the set of partial differential equations (PDEs) of this mathematical model, governed by momentum and energy equations, is reduced to corresponding ordinary differential equations (ODEs). A very simple numerical approach called the Runge–Kutta system of order four along with the shooting technique is used to achieve the solutions for regulating ODEs. MATLAB computing software is used to create temperature and velocity profile graphs for various emerging parameters. At the end of the manuscript, the main conclusions are summarized. Through different graphs, it is observed that hybrid-nanofluid has more prominent thermal enhancement than simple nanofluid. Further, the single-wall nanotubes have dominated impact on temperature than the multi-wall carbon nanotubes. From the calculations, it is also noted that Fe2O3–MWCNT–water has an average of 4.84% more rate of heat transfer than the Fe2O3–SWCNT–water. On the other hand, 8.27% more heat flow observed in Fe2O3–SWCNT–water than the simple nanofluid. Such study is very important in coolant circulation, inter-body fluid transportation, aerospace engineering, and industrial cleaning procedures, etc.

A TWELFTH-ORDER FOUR-STEP FORMULA FOR THE NUMERICAL INTEGRATION OF THE ONE-DIMENSIONAL SCHRÖDINGER EQUATION

2003 ◽  
Vol 14 (08) ◽  
pp. 1087-1105 ◽  
Author(s):  
ZHONGCHENG WANG ◽  
YONGMING DAI
Keyword(s):  
Schrödinger Equation ◽  
Numerical Integration ◽  
Schrodinger Equation ◽  
Numerical Test ◽  
New Method ◽  
Step Method ◽  
One Dimensional ◽  
The Stability ◽  
The One ◽  
Order Four

A new twelfth-order four-step formula containing fourth derivatives for the numerical integration of the one-dimensional Schrödinger equation has been developed. It was found that by adding multi-derivative terms, the stability of a linear multi-step method can be improved and the interval of periodicity of this new method is larger than that of the Numerov's method. The numerical test shows that the new method is superior to the previous lower orders in both accuracy and efficiency and it is specially applied to the problem when an increasing accuracy is requested.

Interpolants for Runge-Kutta pairs of order four and five

Computing ◽  
1990 ◽  
Vol 45 (4) ◽  
pp. 383-388
Author(s):  
M. Calvé ◽  
R. Vaillancourt
Keyword(s):  
Runge Kutta ◽  
Order Four

scholarly journals THE CURRENT PROBLEMS OF THE MINIMAL SO(10) GUT AND THEIR SOLUTIONS

2007 ◽  
Vol 16 (05) ◽  
pp. 1489-1503 ◽  
Author(s):  
TAKESHI FUKUYAMA ◽  
TATSURU KIKUCHI ◽  
NOBUCHIKA OKADA
Keyword(s):  
Predictive Power ◽  
Blow Up ◽  
Gauge Coupling ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Grand Unification ◽  
Warped Extra Dimension ◽  
Gut Scale ◽  
Gauge Couplings ◽  
Yukawa Sector

This talk consists of two parts. In part I we review how the minimal renormalizable supersymmetric SO (10) model, an SO (10) framework with only one 10 and one [Formula: see text] Higgs multiplets in the Yukawa sector, is attractive because of its highly predictive power. Indeed it not only gives a consistent predictions on neutrino oscillation data but also gives reasonable and interesting values for leptogenesis, LFV, muon g - 2, neutrinoless double beta decay etc. However, this model suffers from problems related to running of gauge couplings. The gauge coupling unification may be spoiled due to the presence of Higgs multiplets much lighter than the grand unification (GUT) scale. In addition, the gauge couplings blow up around the GUT scale because of the presence of Higgs multiplets of large representations. In part II we consider the minimal SO (10) model in the warped extra dimension and show a possibility to solve these problems.

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