All-order Finiteness inN = 1 SYM Theories: Criteria and Applications

Lucchesi, Cláudio L.; Zoupanos, George

doi:10.1002/prop.2190450203

Cited by 50 publications

(47 citation statements)

References 59 publications

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“…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)

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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.

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Section: Introductionmentioning

confidence: 94%

Reduction of couplings in the MSSM

Tsamis¹

2015

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

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“…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.

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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.

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“…It is based on (a) the structure of the supercurrent in N = 1 SUSY gauge theory [67][68][69] and on (b) the non-renormalization properties of N = 1 chiral anomalies [26,27,66,70,71]. Details on the proof can be found in [27,66] and further discussion in [26,28,[70][71][72]. Here, following mostly [72], we present a comprehensible sketch of the proof.…”

Section: Finiteness In N = 1 Supersymmetric Gauge Theoriesmentioning

confidence: 99%

“…The vanishing of the gauge β function at one loop, β (1) g , is equivalent to the vanishing of the R current anomaly (28). The vanishing of the anomalous dimensions at one loop implies the vanishing of the Yukawa coupling β functions at that order.…”

mentioning

confidence: 99%

The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale

et al. 2018

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Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories, which can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. The latter consists of searching for renormalization group invariant relations among parameters of a renormalizable theory holding to all orders in perturbation theory. FUTs have proven very successful so far. In particular, they predicted the top quark mass one and half years before its experimental discovery, while around five years before the Higgs boson discovery, a particular FUT was predicting the light Higgs boson in the mass range ∼121-126 GeV, in striking agreement with the discovery at LHC. Here, we review the basic properties of the supersymmetric theories and in particular finite theories resulting from the application of the method of reduction of couplings in their dimensionless and dimensionful sectors. Then, we analyze the phenomenologically-favored FUT, based on SU(5). This particular FUT leads to a finiteness constrained version of the Minimal SUSY Standard Model (MSSM), which naturally predicts a relatively heavy spectrum with colored supersymmetric particles above 2.7 TeV, consistent with the non-observation of those particles at the LHC. The electroweak supersymmetric spectrum starts below 1 TeV, and large parts of the allowed spectrum of the lighter might be accessible at CLIC. The FCC-hhwill be able to fully test the predicted spectrum.

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All-order Finiteness inN = 1 SYM Theories: Criteria and Applications

Cited by 50 publications

References 59 publications

Reduction of couplings in the MSSM

Reduction of couplings in the MSSM

Reduction of the parameters in MSSM

The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale

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