scholarly journals RENORMALIZATION GROUP AND GRAND UNIFICATION WITH 331 MODELS

2007 ◽  
Vol 22 (10) ◽  
pp. 1849-1874 ◽  
Author(s):  
RODOLFO A. DIAZ ◽  
D. GALLEGO ◽  
R. MARTINEZ
Keyword(s):  
Renormalization Group ◽  
Symmetry Breaking ◽  
Group Analysis ◽  
Coupling Constants ◽  
Grand Unification ◽  
Renormalization Group Analysis ◽  
Running Coupling ◽  
The Standard Model ◽  
Split Supersymmetry ◽  
Breaking Scale

By making a renormalization group analysis we explore the possibility of having a 331 model as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants. We shall assume that necessarily there is no group of grand unification at the scale of convergence of the couplings. With this scenario, different 331 models and their corresponding supersymmetric versions are considered, and we find the versions that allow the symmetry breaking described above. Besides, the allowed interval for the 331 symmetry breaking scale, and the behavior of the running coupling constants are obtained. It is worth saying that some of the supersymmetric scenarios could be natural frameworks for split supersymmetry. Finally, we look for possible 331 models with a simple group at the grand unification scale that could fit the symmetry breaking scheme described above.

scholarly journals SO(10) grand unification in light of recent LHC searches and colored scalars at the TeV-scale

2016 ◽  
Vol 31 (08) ◽  
pp. 1650034 ◽  
Author(s):  
Ufuk Aydemir
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Gauge Coupling ◽  
High Energy ◽  
Low Energy ◽  
Grand Unification ◽  
Renormalization Group Analysis ◽  
Low Energies ◽  
Light Color ◽  
Extended Survival

We analyze the compatibility of the recent LHC signals and the TeV-scale left–right model(s) in the minimal nonsupersymmetric SO(10) framework. We show that the models in which the Higgs content is selected based on the extended survival hypothesis do not allow the [Formula: see text] boson to be at the TeV-scale. By relaxing this conjecture, we investigate various scenarios where a number of colored-scalars, originated from various Pati–Salam multiplets, are light and whence they survive down to the low energies. Performing a detailed renormalization group analysis with various low-energy Higgs configurations and symmetry breaking chains, while keeping the high energy Higgs content unmodified; we find that, among a number of possibilities, the models which have a light color-triplet scalar, and its combination with a light color-sextet, particularly stand out. Although these models do allow a TeV-scale [Formula: see text] boson, generating the required value of the gauge coupling [Formula: see text] at this scale is nontrivial.

scholarly journals Renormalization Group and 3-3-1 Model with the DiscreteFlavour Symmetries

2012 ◽  
Vol 22 (1) ◽  
pp. 1-6
Author(s):  
Hoang Ngoc Long ◽  
Nguyen Thi Kim Ngan
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Gauge Group ◽  
Coupling Constants ◽  
Grand Unification ◽  
Flavor Symmetries ◽  
Renormalization Group Equations ◽  
The Standard Model

Renormalization group equations of the 3-3-1 models with A4 and S4 flavor symmetries as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants are presented. We shall assume that there is no necessarily a group of grand unification at the scale of convergence of the couplings.

scholarly journals INTERPLAY OF FIXED POINTS IN SCALAR MODELS

2013 ◽  
Vol 28 (26) ◽  
pp. 1350130 ◽  
Author(s):  
S. NAGY ◽  
K. SAILER
Keyword(s):  
Phase Transition ◽  
Fixed Point ◽  
Renormalization Group ◽  
Symmetry Breaking ◽  
Critical Exponent ◽  
Correlation Length ◽  
Group Analysis ◽  
Renormalization Group Analysis ◽  
The One ◽  
Symmetric Phase

We performed the renormalization group analysis of scalar models exhibiting spontaneous symmetry breaking. It is shown that an infrared fixed point appears in the broken symmetric phase of the models, which induces a dynamical scale, that can be identified with the correlation length. This enables one to identify the type of the phase transition which shows similarity to the one appearing in the crossover scale. The critical exponent ν of the correlation length also proved to be equal in the crossover and the infrared scaling regimes.

scholarly journals Threshold effects in SO(10) models with one intermediate breaking scale

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Davide Meloni ◽  
Tommy Ohlsson ◽  
Marcus Pernow
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Particle Physics ◽  
Gauge Coupling ◽  
Grand Unification ◽  
Threshold Effects ◽  
The Standard Model ◽  
Proton Lifetime ◽  
Supersymmetric Theories ◽  
Breaking Scale

AbstractDespite the successes of the Standard Model of particle physics, it is known to suffer from a number of deficiencies. Several of these can be addressed within non-supersymmetric theories of grand unification based on $$\text {SO}(10)$$ SO ( 10 ) . However, achieving gauge coupling unification in such theories is known to require additional physics below the unification scale, such as symmetry breaking in multiple steps. Many such models are disfavored due to bounds on the proton lifetime. Corrections arising from threshold effects can, however, modify these conclusions. We analyze all seven relevant breaking chains with one intermediate symmetry breaking scale, assuming the “survival hypothesis” for the scalar masses. Two are allowed by proton lifetime and two are disfavored by a failure to unify the gauge couplings. The remaining three unify at a too low scale, but can be salvaged by various amounts of threshold corrections. We parametrize this and thereby rank the models by the size of the threshold corrections required to save them.

scholarly journals ONE-LOOP RENORMALIZATION GROUP ANALYSIS OF BOSE–FERMI MIXTURES

2012 ◽  
Vol 26 (32) ◽  
pp. 1250197
Author(s):  
BOYANG LIU ◽  
JIANGPING HU
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Group Analysis ◽  
Three Dimensional ◽  
Coupling Constants ◽  
Tree Level ◽  
Coupling Constant ◽  
Renormalization Group Analysis ◽  
Flow Equations ◽  
Interaction Term

A weakly interacting Bose–Fermi mixture model was investigated using Wisonian renormalization group (RG). This model includes one boson–boson interaction term and one boson–fermion interaction term. The scaling dimensions of the two interaction coupling constants were calculated as 2-D at tree level and the flow equations were derived at one-loop level. We find that in the flow equations the contributions from the fermion loops go to zero as the length scale approaches infinity. In three-dimensional case two fixed points are calculated. One is the Gaussian fixed point and the other one is Wilson–Fisher fixed point. We observe that the boson–fermion interaction decouples at the Wilson–Fisher fixed point. We also find that under RG transformation the boson–fermion interaction coupling constant runs to negative infinity with a small negative initial value, which indicates a boson–fermion pairing instability. Furthermore, the possibility of emergent supersymmetry in this model was discussed.

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