scholarly journals Algebraic backgrounds for noncommutative Kaluza-Klein theory. II. The almost-commutative case and the standard model

2019 ◽  
Vol 60 (12) ◽  
pp. 123507 ◽  
Author(s):  
Fabien Besnard
Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 26
Author(s):  
James Overduin ◽  
Hamna Ali ◽  
Francis Walz

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.


2006 ◽  
Vol 21 (22) ◽  
pp. 4519-4541 ◽  
Author(s):  
COSMIN MACESANU ◽  
KAMESHWAR C. WALI

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.


1988 ◽  
Vol 38 (8) ◽  
pp. 2490-2497 ◽  
Author(s):  
R. Delbourgo ◽  
R. B. Zhang

2004 ◽  
Vol 19 (21) ◽  
pp. 1615-1621
Author(s):  
N. D. TRACAS

We investigate the SU (3)3 GUT model when signs of the model (precursors), due to low compactification scale, appear before the gauge couplings of the Standard Model get unified. The Kaluza–Klein state contribution seems to lead the gauge couplings to unification through a wide energy scale only in the case when the colour group is augmented to SU(4).


2020 ◽  
Vol 35 (24) ◽  
pp. 2050141
Author(s):  
Carlos M. Farrera ◽  
Alejandro Granados-González ◽  
Héctor Novales-Sánchez ◽  
J. Jesús Toscano

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].


2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Shuichiro Funatsu

Abstract The signals of the $$SO(5)\times U(1)$$SO(5)×U(1) gauge-Higgs unification model at the International Linear Collider are studied. In this model, Kaluza–Klein modes of the neutral gauge bosons affect fermion pair productions. The deviations of the forward–backward asymmetries of the $$e^+e^-\rightarrow \bar{b}b$$e+e-→b¯b, $$\bar{t}t$$t¯t processes from the standard model predictions are clearly seen by using polarised beams. The deviations of these values are predicted for two cases, the bulk mass parameters of quarks are positive and negative case.


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Nicolás Bernal ◽  
Andrea Donini ◽  
Miguel G. Folgado ◽  
Nuria Rius

Abstract We study for the first time the case in which Dark Matter (DM) is made of Feebly Interacting Massive Particles (FIMP) interacting just gravitationally with the standard model particles in an extra-dimensional Randall-Sundrum scenario. We assume that both the dark matter and the standard model are localized in the IR-brane and only interact via gravitational mediators, namely the graviton, the Kaluza-Klein gravitons and the radion. We found that in the early Universe DM could be generated via two main processes: the direct freeze-in and the sequential freeze-in. The regions where the observed DM relic abundance is produced are largely compatible with cosmological and collider bounds.


2001 ◽  
Vol 16 (supp01b) ◽  
pp. 860-862
Author(s):  
◽  
Amber Boehnlein

We have searched for the effects of Kaluza Klein gravitons predicted in theories of large spatial extra dimensions (LED). Analyzing angular and invariant mass distributions of photon and electron pairs in 127 pb -1 of data, we find complete agreement with expectations from the Standard Model. There were no anomalous events found that are characteristic of virtual graviton exchange. We set lower limits on the compactification scale of large extra dimensions between 1.0 and 1.4 TeV for the number of extra dimensions between 2 and 7.


Author(s):  
Nguyen Van Dat

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.


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