scholarly journals Prediction of Weinberg Angle in Discretized Kaluza-Klein Theory

2019 ◽  
Vol 35 (3) ◽  
Author(s):  
Nguyen Van Dat
Keyword(s):  
Coupling Constant ◽  
New Approach ◽  
Electron Positron ◽  
The Standard Model ◽  
Single Coupling ◽  
Klein Theory ◽  
Weinberg Angle ◽  
The One ◽  
Collider Experiment ◽  
Kaluza Klein

In Discretized Kaluza-Klein theory (DKKT) the gauge fields emerge as components of gravity with a single coupling constant. Therefore, it provide a new approach to fix the parameters of the Standard Model, and in particular the Weinberg angle. We show that in our approach using DKKT, the predicted value of Weinberg angle is exactly the one measured in the electron-positron collider experiment at Q = 91.2 GeV/c. The result is compared with the one predicted the group theoretic methods.

On the consistency of self-consistent dimensional reduction

1986 ◽  
Vol 64 (5) ◽  
pp. 641-643 ◽  
Author(s):  
G. Kunstatter ◽  
D. J. Toms
Keyword(s):  
Dimensional Reduction ◽  
Gauge Coupling ◽  
Coupling Constant ◽  
Gauge Dependence ◽  
Loop Approximation ◽  
Self Consistent ◽  
Klein Theory ◽  
The One ◽  
Self Consistency ◽  
Kaluza Klein

Several aspects of self-consistent dimensional reduction in Kaluza–Klein theory are addressed. First, the validity of the one-loop approximation in quantum gravity with a cosmological constant is discussed. Second, a distinction is made between mathematical self-consistency and physical self-consistency. Finally, the possible gauge dependence of the physical predictions for the radius and gauge coupling constant is analyzed within the context of recent theorems concerning the gauge invariance of the one-loop gravitational effective action.

A HAMILTONIAN TREATMENT OF FIVE-DIMENSIONAL KALUZA–KLEIN GRAVITY

2000 ◽  
Vol 09 (04) ◽  
pp. 445-458 ◽  
Author(s):  
W. N. SAJKO
Keyword(s):  
Total Mass ◽  
Soliton Solutions ◽  
Schwarzschild Solution ◽  
Coordinate Dependence ◽  
Klein Theory ◽  
The One ◽  
Induced Matter ◽  
Classical Derivation ◽  
Area Law ◽  
Kaluza Klein

We give a Hamiltonian treatment of 5D vacuum Kaluza–Klein theory that is unrestricted in the extra coordinate dependence. When the extra coordinate dependence is removed from the 5D metric we recover the Hamiltonian for gravity and electromagetism nonminimally coupled to a scalar field. The energies of 5D uncharged and charged soliton solutions are calculated via the Hamiltonian and are identified with the total mass. The expressions for the total mass are shown to agree with the sum of scalar and gravitational masses calculated from the scalar-tensor induced matter in 4D. A semi-classical derivation of the temperature for the uncharged solitons is calculated and it is shown that the only nontrivial member of the 5D class is the 4D Schwarzschild solution trivially embedded in 5D, and therefore the entropy obeys the one-quarter area law.

A NEW APPROACH FOR SPACE-TIME-MATTER THEORY

2013 ◽  
Vol 10 (04) ◽  
pp. 1350004 ◽  
Author(s):  
AUREL BEJANCU
Keyword(s):  
Tensor Field ◽  
Differential Operators ◽  
Space Time ◽  
Horizontal Gradient ◽  
Tensor Fields ◽  
Tensor Calculus ◽  
New Approach ◽  
Horizontal Connection ◽  
Klein Theory ◽  
Kaluza Klein

This is the first paper in a series of three papers on a new approach for space-time-matter (STM) theory. The main purpose of this approach is to replace the Levi-Civita connection on the space-time from the classical Kaluza–Klein theory by what we call the Riemannian horizontal connection on the general Kaluza–Klein space. This is done by a development of a 4D tensor calculus whose geometrical objects live in a 5D space. The 4D tensor calculus and the Riemannian horizontal connection enable us to define in a 5D space some 4D differential operators: horizontal differential, horizontal gradient, horizontal divergence and horizontal Laplacian, which have a great role in the presentation of the STM theory in a covariant form. Finally, we introduce and study the horizontal electromagnetic tensor field, the horizontal Ricci tensor and the horizontal Einstein gravitational tensor field, which replace the well-known tensor fields from the classical Kaluza–Klein theory.

scholarly journals Quark-flavor-changing Higgs decays from a universal extra dimension

2020 ◽  
Vol 35 (24) ◽  
pp. 2050141
Author(s):  
Carlos M. Farrera ◽  
Alejandro Granados-González ◽  
Héctor Novales-Sánchez ◽  
J. Jesús Toscano
Keyword(s):  
Standard Model ◽  
Extra Dimension ◽  
New Physics ◽  
Tree Level ◽  
Universal Extra Dimension ◽  
Loop Level ◽  
Flavor Changing ◽  
The Standard Model ◽  
The One ◽  
Kaluza Klein

Kaluza–Klein fields characterizing, from a four-dimensional viewpoint, the presence of compact universal extra dimensions would alter low-energy observables through effects determined by some compactification scale, [Formula: see text], since the one-loop level, thus being particularly relevant for physical phenomena forbidden at tree level by the Standard Model. This paper explores, for the case of one universal extra dimension, such new-physics contributions to Higgs decays [Formula: see text], into pairs of quarks with different flavors, a sort of decay process which, in the Standard Model, strictly occurs at the loop level. Finite results, decoupling as [Formula: see text], are calculated. Approximate short expressions, valid for large compactification scales, are provided. We estimate that Kaluza–Klein contributions lie below predictions from the Standard Model, being about 2 to 3 orders of magnitude smaller for compactification scales within [Formula: see text].

scholarly journals R-VALUES FROM LOW ENERGY e+e-ANNIHILATION

2000 ◽  
Vol 15 (24) ◽  
pp. 3739-3769 ◽  
Author(s):  
ZHENGGUO ZHAO
Keyword(s):  
Review Article ◽  
Low Energy ◽  
Coupling Constant ◽  
Running Coupling ◽  
Electron Positron ◽  
Running Coupling Constant ◽  
The Standard Model ◽  
Magnetic Detector ◽  
Spherical Neutral Detector ◽  
Precision Test

The QED running coupling constant α(s) and the anomalous magnetic moment of muon aμare two fundamental quantities for the precision test of the Standard Model (SM). The current uncertainties on α(s) and aμare dominated by the contribution from the R-values measured about 20 years ago with an averaged uncertainty of 15% in the energy region below 5 GeV. This review article summarizes the recent measurements of R-values in low energy e+e-annihilation. The new experiments aimed at reducing the uncertainties in R-values and performed with the upgraded Beijing Spectrometer (BESII) at Beijing Electron Positron Collider (BEPC) in Beijing and with Cryogenic Magnetic Detector, CMD-2 and SND (Spherical Neutral Detector) at VEEP-2M in Novosibirsk are reviewed and discussed.

scholarly journals Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 26
Author(s):  
James Overduin ◽  
Hamna Ali ◽  
Francis Walz
Keyword(s):  
Standard Model ◽  
Rest Mass ◽  
Lorentz Violation ◽  
Space Time ◽  
Standard Model Extension ◽  
Matter Theory ◽  
Model Extension ◽  
The Standard Model ◽  
Klein Theory ◽  
Kaluza Klein

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that four-dimensional physics can in principle depend on the extra coordinates. The extra dimensions are not necessarily compact or length-like. We find that the associated variation in fundamental quantities such as rest mass must occur slowly, on cosmological scales.

scholarly journals THE HIGGS SECTOR ON A TWO-SHEETED SPACE–TIME

2006 ◽  
Vol 21 (22) ◽  
pp. 4519-4541 ◽  
Author(s):  
COSMIN MACESANU ◽  
KAMESHWAR C. WALI
Keyword(s):  
Standard Model ◽  
Higgs Sector ◽  
Space Time ◽  
Symmetric Model ◽  
The Standard Model ◽  
Klein Theory ◽  
Left And Right ◽  
Higgs Fields ◽  
General Gauge ◽  
Kaluza Klein

We present a general formalism based on the framework of noncommutative geometry, suitable to the study of the standard model of electroweak interactions, as well as that of more general gauge theories. Left- and right-handed chiral fields are assigned to two different sheets of space–time (a discretized version of Kaluza–Klein theory). Scalar Higgs fields find themselves treated on the same footing as the gauge fields, resulting in spontaneous symmetry breaking in a natural and predictable way. As a first test, we apply the formalism to the Standard Model, where one can predict the Higgs mass and the top Yukawa coupling. The results obtained for this case are similar with results obtained in alternate formulations. We then study the left–right symmetric model, where we show that this framework imposes interesting constraints on the type and coefficients of terms appearing in the Higgs potential.

scholarly journals HIGGS MASS IN THE STANDARD MODEL FROM COUPLING CONSTANT REDUCTION

2002 ◽  
Vol 17 (03) ◽  
pp. 335-346 ◽  
Author(s):  
B. ANANTHANARAYAN ◽  
J. PASUPATHY
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Top Quark ◽  
Higgs Mass ◽  
Gauge Coupling ◽  
Renormalization Scale ◽  
Coupling Constant ◽  
Top Quark Mass ◽  
The Standard Model ◽  
The One

Plausible interrelations between parameters of the standard model are studied. The empirical value of the top quark mass, when used in the renormalization group equations, suggests that the ratio of the color SU(3) gauge coupling g3, and the top coupling gt is independent of the renormalization scale. On the other hand, the variety of top-condensate models suggests that the Higgs self-coupling λ is proportional to [Formula: see text]. Invoking the requirement that the ratio [Formula: see text] is independent of the renormalization scale t, fixes the Higgs mass. The pole mass of the Higgs (which differs from the renormalization group mass by a few percent) is found to be ~ 154 GeV for the one-loop equations and ~ 148 GeV for the two-loop equations.

Grassmannian Kaluza-Klein theory and the standard model

1988 ◽  
Vol 38 (8) ◽  
pp. 2490-2497 ◽  
Author(s):  
R. Delbourgo ◽  
R. B. Zhang
Keyword(s):  
Standard Model ◽  
The Standard Model ◽  
Klein Theory ◽  
Kaluza Klein
Sign in / Sign up

Export Citation Format

Share Document