Finite N=1 supersymmetric grand unified theories

This is a sequel of our paper hep-th/0606125 in which we have studied the N = 1 SU(N) SYM theory obtained as a marginal deformation of the N = 4 theory, with a complex deformation parameter β and in the planar limit. There we have addressed the issue of conformal invariance imposing the theory to be finite and we have found that finiteness requires reality of the deformation parameter β. In this paper we relax the finiteness request and look for a theory that in the planar limit has vanishing beta functions. We perform explicit calculations up to five loop order: we find that the conditions of beta function vanishing can be achieved with a complex deformation parameter, but the theory is not finite and the result depends on the arbitrary choice of the subtraction procedure. Therefore, while the finiteness condition leads to a scheme independent result, so that the conformal invariant theory with a real deformation is physically well defined, the condition of vanishing beta function leads to a result which is scheme dependent and therefore of unclear significance. In order to show that these findings are not an artefact of dimensional regularization, we confirm our results within the differential renormalization approach.

show abstract

“…(18) in the next Section). Therefore at this order the theory is finite but the beta functions do not vanish.…”

Section: Introductionmentioning

confidence: 94%

Real versus complex β-deformation of the 𝒩 = 4 planar super Yang-Mills theory

Elmetti

Mauri

Santambrogio

et al. 2007

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…The most impressive aspect of the RGI relations is that they are valid to all orders of perturbation theory, a fact that can be realized by exploring the uniqueness of these relations at 1-loop level [1]. Besides this we can also find RGI relations that guarantee finiteness to every order in perturbation theory [10,11].…”

Section: Introductionmentioning

confidence: 94%

Reduction of couplings in the MSSM

Tsamis¹

2015

Proceedings of Proceedings of the Corfu Summer Institute 2014 — PoS(CORFU2014)

View full text Add to dashboard Cite

We present an application of the reduction of couplings program in the minimal supersymmetric Standard Model (MSSM). We investigate if a functional relation between α 1 and α 2 gauge couplings can be realized which is Renormalization Group Invariant (RGI). Following the same procedure for the top and bottom Yukawa couplings we end up with a prediction of a narrow window for tanβ , which is one of the basic parameters that determine the light Higgs mass.

show abstract

“…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]. Even more impressive is the fact that it is possible to find RGI relations among couplings guaranteeing finiteness to all-orders in perturbation theory [31][32][33][34][35].…”

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

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

Finite N=1 supersymmetric grand unified theories

Cited by 126 publications

References 24 publications

Real versus complex β-deformation of the 𝒩 = 4 planar super Yang-Mills theory

Real versus complex β-deformation of the 𝒩 = 4 planar super Yang-Mills theory

Reduction of couplings in the MSSM

Reduction of the parameters in MSSM

Contact Info

Product

Resources

About