A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study

2014 ◽  
Vol 92 (12) ◽  
pp. 1501-1527 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Standard Model ◽  
Geometric Probability ◽  
Coupling Constants ◽  
Grand Unified Theory ◽  
Neutrino Mixing ◽  
Yang Mills ◽  
Bounded Complex ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Homogeneous Domains

A Clifford Cl(5, C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × U(4) Yang–Mills in 4D, is reviewed along with its implications for the Pati–Salam (PS) group SU(4) × SU(2)L × SU(2)R, and trinification grand unified theory models of three fermion generations based on the group SU(3)C × SU(3)L × SU(3)R. We proceed with a brief review of a unification program of 4D gravity and SU(3) × SU(2) × U(1) Yang–Mills emerging from 8D pure quaternionic gravity. A realization of E8 in terms of the Cl(16) = Cl(8) ⊗ Cl(8) generators follows, as a preamble to F. Smith’s E8 and Cl(16) = Cl(8) ⊗ Cl(8) unification model in 8D. The study of chiral fermions and instanton backgrounds in CP2 and CP3 related to the problem of obtaining three fermion generations is thoroughly studied. We continue with the evaluation of the coupling constants and particle masses based on the geometry of bounded complex homogeneous domains and geometric probability theory. An analysis of neutrino masses, Cabbibo–Kobayashi–Maskawa quark-mixing matrix parameters, and neutrino-mixing matrix parameters follows. We finalize with some concluding remarks about other proposals for the unification of gravity and the Standard Model, like string, M, and F theories and noncommutative and nonassociative geometry.

scholarly journals ON THE PHASE OF $B^0 - \bar B^0 $ MIXING MATRIX ELEMENT IN THE SUSY STANDARD MODEL

1995 ◽  
Vol 10 (22) ◽  
pp. 1577-1582 ◽  
Author(s):  
T. KURIMOTO
Keyword(s):  
Matrix Element ◽  
Cp Violation ◽  
Standard Model ◽  
Yukawa Coupling ◽  
Coupling Constants ◽  
Yukawa Interaction ◽  
Complex Phase ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Minor Correction

It is shown that the complex phase of [Formula: see text] mixing matrix element is the same as that of the standard model up to the minor correction of the order of (mc/mt)2 or less in the SUSY standard model. This conclusion is valid as far as the Yukawa coupling constants are perturbative and realistic, and can be available for other realistic models where generation mixing and CP-violation are solely due to Yukawa interaction among quarks and Higgs doublets.

scholarly journals Standard-Model Coupling Constants from Compositeness

2003 ◽  
Vol 18 (27) ◽  
pp. 1877-1885 ◽  
Author(s):  
J. Besprosvany
Keyword(s):  
Standard Model ◽  
Particle Interaction ◽  
Coupling Constants ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Coupling Constant ◽  
The Standard Model ◽  
Standard Model Coupling ◽  
Breaking Scale ◽  
Vector Particles

A coupling-constant definition is given based on the compositeness property of some particle states with respect to the elementary states of other particles. It is applied in the context of the vector-spin-1/2-particle interaction vertices of a field theory, and the standard model. The definition reproduces Weinberg's angle in a grand-unified theory. One obtains coupling values close to the experimental ones for appropriate configurations of the standard-model vector particles, at the unification scale within grand-unified models, and at the electroweak breaking scale.

scholarly journals W-boson production in the high energy electron-photon collisions

2019 ◽  
pp. 41-50
Author(s):  
Ivan A. Shershan ◽  
Tatiana V. Shishkina
Keyword(s):  
Standard Model ◽  
Cross Sections ◽  
W Boson ◽  
High Energy ◽  
New Physics ◽  
Coupling Constants ◽  
Boson Production ◽  
The Standard Model ◽  
Electron Photon ◽  
W Boson Production

In this paper the analysis of W-boson production process in high-energy electron-photon collisions as a tool to search for deviations from the Standard Model is considered. In particular, a set of extended gauge models, including anomalous multi-boson interactions, are discussed as a promising way for «new physics» study. A numerical analysis of the total cross sections of the processes was carried out. The lowest order radiative corrections in the soft-photon approximation within the Standard Model are taken into account. Calculations beyond the Standard Model was performed, the kinematic features of the cross sections were identified. The restrictions on the anomalous triple gauge boson coupling constants were analyzed and the kinematic areas to the search for their manifestations were obtained during the experiments at the International Linear Collider. The paper shows that the search for «new physics» effects based on electron-photon collisions around the W-boson production peak is the maximal promising. It was also shown that future experiments at high luminosity linear colliders will significantly clarify the constraints on anomalous gauge coupling constants.

POSSIBLE CONSEQUENCES OF PARITY CONSERVATION

1992 ◽  
Vol 07 (28) ◽  
pp. 2567-2574 ◽  
Author(s):  
R. FOOT ◽  
H. LEW ◽  
R. R. VOLKAS
Keyword(s):  
Standard Model ◽  
Higgs Mass ◽  
Coupling Constants ◽  
Standard Model Higgs Boson ◽  
Solar Neutrino Problem ◽  
Decay Modes ◽  
Parity Conservation ◽  
The Standard Model ◽  
Two Parameters ◽  
Invisible Decay

It has been shown that parity may be an exact unbroken symmetry of nature. This requires a doubling of the number of physical particles, although only two parameters beyond those in the Standard Model are introduced. We show that the Lagrangian describing parity conserving models can be reformulated in terms of a basis in which each term of the Lagrangian is parity invariant, although gauge invariance is not manifest. We then examine some further experimental signatures of parity conservation. We point out that, in the simplest case, there is one parity-even and one parity-odd physical neutral Higgs mass eigenstate, whose Yukawa coupling constants are [Formula: see text]-that of the Standard Model Higgs boson. Furthermore, half of their widths are generated by almost invisible decay modes. Also, if neutrinos are massive then the ordinary and mirror neutrinos will, in the minimal case, be maximally mixed due to parity conservation. This means that vacuum oscillations can be large, thus providing a possible solution to the solar neutrino problem.

Anomalies, instantons and axions

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Standard Model ◽  
Path Integral ◽  
Electric Charge ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Yang Mills ◽  
Integral Measure ◽  
The Standard Model ◽  
Electroweak Sector

The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.

A DETAILED ACCOUNT OF ALAIN CONNES' VERSION OF THE STANDARD MODEL IN NON-COMMUTATIVE GEOMETRY: I AND II.

1993 ◽  
Vol 05 (03) ◽  
pp. 477-532 ◽  
Author(s):  
DANIEL KASTLER
Keyword(s):  
Standard Model ◽  
Coupling Constants ◽  
Fermion Mass ◽  
Detailed Calculation ◽  
Coupling Constant ◽  
Electroweak Interactions ◽  
Symmetrical Form ◽  
Mass Matrices ◽  
The Standard Model ◽  
Universal Coupling

We present a detailed calculation of the Lagrangian of the standard model prescribed in the paper [4] of Connes and Lott, first for the electroweak interactions alone, and then (as is necessary to achieve the correct weak hypercharge assignments) for the coupling of electroweak interactions with chromodynamics. In its most symmetrical form (with free parameters the fermion mass-matrices plus one universal coupling constant), the Connes theory in tree-approximation yields equality of the strong and electroweak coupling constants, and fixes the value sin 2 θw = 3/8, and the ratios mt/mw and mH/mt.

scholarly journals Gauge Boson Mixing in the 3-3-1 Models with Discrete Symmetries

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
P. V. Dong ◽  
V. T. N. Huyen ◽  
H. N. Long ◽  
H. V. Thuy
Keyword(s):  
Standard Model ◽  
Gauge Boson ◽  
Discrete Symmetries ◽  
Lepton Number ◽  
Neutrino Mixing ◽  
Gauge Bosons ◽  
Neutral Gauge Boson ◽  
Neutral Scalar ◽  
The Standard Model ◽  
Lepton Number Violating

The mixing among gauge bosons in the 3-3-1 models with the discrete symmetries is investigated. To get tribimaximal neutrino mixing, we have to introduce sextets containing neutral scalar components with lepton numberL=1,2. Assignation of VEVs to these fields leads to the mixing of the new gauge bosons and those in the standard model. The mixing in the charged gauge bosons leads to the lepton number violating interactions of theWboson. The same situation happens in the neutral gauge boson sector.

CP-ASYMMETRIES IN NEUTRAL B-MESON DECAYS IN A CLASS OF LEFT-RIGHT SYMMETRIC MODELS

1996 ◽  
Vol 11 (04) ◽  
pp. 299-306
Author(s):  
W.K. SZE ◽  
HERNG YAO
Keyword(s):  
Standard Model ◽  
B Mesons ◽  
B Meson ◽  
Standard Model Prediction ◽  
Boson Mass ◽  
Neutral B Meson ◽  
The Standard Model ◽  
Mixing Matrix ◽  
Gauge Boson Mass ◽  
Cp Asymmetries

In left-right symmetric models with a general right-handed quark mixing matrix VR, CP-asymmetries of neutral B-mesons can deviate appreciably from the standard model prediction. By assuming a Gronau-Wakaizumi (GW) form of VR, we calculate asymmetries of B0 decays to two-body CP-eigenstates for various possible right-handed gauge boson mass MR. It is found that these CP-asymmetries show a sharp transition from the GW results to the standard model ones in the neighborhood of MR≃800 GeV .

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