FiniteSU(N)kUnification

Mondragón, Myriam; Zoupanos, George

doi:10.1088/1126-6708/2004/12/026

Cited by 49 publications

(78 citation statements)

References 70 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A successful strategy in relating dimensionless couplings has been developed in a series of studies [11][12][13][14][15][16][17][18][19][20][21][22][23][24]. It was based on searches for renormalization group invariant (RGI) relations.…”

Section: Jhep08(2018)150mentioning

confidence: 99%

“…It was based on searches for renormalization group invariant (RGI) relations. This program, called Gauge-Yukawa unification scheme, applied in the dimensionless couplings of supersymmetric GUTs, such as gauge and Yukawa couplings, had already celebrated successes by predicting correctly, among others, the top quark mass in the finite and in the minimal N = 1 supersymmetric SU(5) GUTs [14][15][16], SU(3) 3 [20][21][22][23] and later in the Minimal Supersymmetric Standard Model (MSSM) [24]. One of the impressive aspects of the RGI relations is that their validity can be guaranteed to all-orders in perturbation theory by studying the uniqueness of the resulting relations at one-loop, as was proven [25,26] in the early days of the program of reduction of couplings [25][26][27][28][29][30].…”

Section: Jhep08(2018)150mentioning

confidence: 99%

See 1 more Smart Citation

Reduction of the parameters in MSSM

Heinemeyer

Mondragón

Tracas

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

In the present work we search for renormalization group invariant relations among the various massless and massive parameters of the Minimal Supersymmetric Standard Model. We find that indeed several of the previously free parameters of the model can be reduced in favor of few, the unique gauge coupling and the gaugino mass at the unification scale among them. Taking into account the various experimental constraints, including the B-physics ones, we predict the Higgs and the supersymmetric spectrum. We find that the lightest Higgs mass is in comfortable agreement with the measured value and its experimental and theoretical uncertainties, while the electroweak supersymmetric spectrum starts at 1.3 TeV and the colored at ∼4 TeV. Thus the reduced MSSM is in natural agreement with all LHC measurements and searches. The supersymmetric and heavy Higgs particles will likely escape the detection at the LHC, as well as at ILC and CLIC. However, the FCC-hh will be able to fully test the predicted parameter space.

show abstract

Section: Jhep08(2018)150mentioning

confidence: 99%

Section: Jhep08(2018)150mentioning

confidence: 99%

Reduction of the parameters in MSSM

Heinemeyer

Mondragón

Tracas

et al. 2018

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…After the reduction of couplings the symmetry is enhanced, leading to the following 2 Realistic Finite Unified Theories based on product gauge groups, where the finiteness implies three generations of matter, have also been studied [78,79].…”

Section: An Su (5) Finite Unified Theorymentioning

confidence: 99%

Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM

Heinemeyer

Mondragón

Tracas

et al. 2014

Springer Proceedings in Mathematics &Amp; Statistics

View full text Add to dashboard Cite

We apply the method of reduction of couplings in a Finite Unified Theory and in the MSSM. The method consists on searching for renormalization group invariant relations among couplings of a renormalizable theory holding to all orders in perturbation theory. It has a remarkable predictive power since, at the unification scale, it leads to relations between gauge and Yukawa couplings in the dimensionless sectors and relations involving the trilinear terms and the Yukawa couplings, as well as a sum rule among the scalar masses and the unified gaugino mass in the soft breaking sector. In both the MSSM and the FUT model we predict the masses of the top and bottom quarks and the light Higgs in remarkable agreement with the experiment. Furthermore we also predict the masses of the other Higgses, as well as the supersymmetric spectrum, both being in very confortable agreement with the LHC bounds on Higgs and supersymmetric particles.

show abstract

“…Decomposing SU(N ) ⊃ SU(n) × SU(4) × U(1), the gauge group is broken to SU (4) This case has been examined originally in [53] and from a phenomenological viewpoint in [54]. The quarks and leptons of the first family should transform as …”

Section: Jhep05(2010)100mentioning

confidence: 99%

Orbifolds, fuzzy spheres and chiral fermions

Chatzistavrakidis

Steinacker

Zoupanos

2010

J. High Energ. Phys.

View full text Add to dashboard Cite

Starting with a N = 4 supersymmetric Yang-Mills theory in four dimensions with gauge group SU(3N ) we perform an orbifold projection leading to a N = 1 supersymmetric SU(N ) 3 Yang-Mills theory with matter supermultiplets in bifundamental representations of the gauge group, which is chiral and anomaly free. Subsequently, we search for vacua of the projected theory which can be interpreted as spontaneously generated twisted fuzzy spheres. We show that by adding the appropriate soft supersymmetry breaking terms we can indeed reveal such vacua. Three cases are studied, where the gauge group is spontaneously broken further to the low-energy gauge groups SU(4) × SU(2) × SU(2), SU(4) 3 and SU(3) 3 . Such models behave in intermediate scales as higher-dimensional theories with a finite Kaluza-Klein tower, while their low-energy physics is governed by the corresponding zero-modes and exhibit chirality in the fermionic sector. The most interesting case from the phenomenological point of view turns out to be the SU(3) 3 unified theory, which has several interesting features such as (i) it can be promoted to a finite theory, (ii) it breaks further spontaneously first to the MSSM and then to SU(3) × U(1) em due to its own scalar sector, i.e. without the need of additional superfields and (iii) the corresponding vacua lead to spontaneously generated fuzzy spheres.

show abstract

FiniteSU(N)^kUnification

Cited by 49 publications

References 70 publications

Reduction of the parameters in MSSM

Reduction of the parameters in MSSM

Reduction of Couplings in Quantum Field Theories with Applications in Finite Theories and the MSSM

Orbifolds, fuzzy spheres and chiral fermions

Contact Info

Product

Resources

About