Constraints on finite soft supersymmetry-breaking terms

Kobayashi, Tatsuo; Kubo, Jisuke; Mondragón, Myriam; Zoupanos, George

doi:10.1016/s0550-3213(97)00765-7

Cited by 62 publications

(61 citation statements)

References 102 publications

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“…Surprisingly enough, the all-loop result (3.15) coincides with the superstring result for the finite case in a certain class of orbifold models [7] if…”

Section: Soft Supersymmetry Breakingsum Rule Of Soft Scalar Massessupporting

confidence: 61%

“…In addition it was found [6] that RGI SSB scalar masses in Gauge-Yukawa unified models satisfy a universal sum rule. Here we will describe first how the use of the available two-loop RG functions and the requirement of finiteness of the SSB parameters up to this order leads to the soft scalar-mass sum rule [7]. Consider the superpotential given by (2.4) along with the Lagrangian for SSB terms…”

Section: Soft Supersymmetry Breakingsum Rule Of Soft Scalar Massesmentioning

confidence: 99%

“…Therefore, there have been attempts to relax this constraint without loosing any of its attractive features. First an interesting observation was made that in N = 1 Gauge-Yukawa unified theories there exists a RGI sum rule for the soft scalar masses at lower orders; at one-loop for the nonfinite case [6] and at two-loops for the finite case [7]. The sum rule manages to overcome the above unpleasant phenomenological consequences.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exact Gauge - Yukawa - Finite Unified Theories and their Predictions

Mondragón¹

1999

Proceedings of Corfu Summer Institute on Elementary Particle Physics — PoS(corfu98)

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The recent developments in the soft supersymmetry breaking (SSB) sector of Gauge-Yukawa and Finite Unified Theories permit the derivation of exact renormalization group invariant results also in this sector of the theory. Of particular interest is a RGI sum rule for the soft scalar masses holding to all-orders in perturbation theory. In the case of Finite Unified Theories the sum rule ensures the all-loop finiteness also in their SSB sector and in this way are promoted to completely finite ones. Using the sum rule we investigate the minimal supersymmetric Gauge-Yukawa and two Finite-Gauge-Yukawa SU(5) models. The characteristic features of these models are: a) the old agreement of the top quark mass prediction remains unchanged, b) the lightest Higgs boson is predicted to be around 120 GeV, c) the s-spectrum starts above several hundreds of GeV.

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“…Surprisingly enough, the all-loop result (3.15) coincides with the superstring result for the finite case in a certain class of orbifold models [7] if…”

Section: Soft Supersymmetry Breakingsum Rule Of Soft Scalar Massessupporting

confidence: 61%

Section: Soft Supersymmetry Breakingsum Rule Of Soft Scalar Massesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Exact Gauge - Yukawa - Finite Unified Theories and their Predictions

Mondragón¹

1999

Proceedings of Corfu Summer Institute on Elementary Particle Physics — PoS(corfu98)

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“…(54) Surprisingly enough, the all-loop result (53) coincides with the superstring result for the finite case in a certain class of orbifold models [39] if d ln C ijk /d ln g = 1.…”

Section: The Ssb Sector Of Reduced N = 1 Susy and Finite Theoriessupporting

confidence: 53%

“…After the reduction of couplings, the symmetry is enhanced, leading to the following superpotential [39,91]:…”

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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Finite theories before and after the discovery of a Higgs boson at the LHC

Heinemeyer

Mondrag

Zoupanos

2013

Fortschritte der Physik

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Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories (GUTs) which can be made finite to all‐loop orders, based on the principle of reduction of couplings, and therefore are provided with a large predictive power. Confronting the predictions of SU(5) FUTs with the top and bottom quark masses and other low‐energy experimental constraints a light Higgs‐boson mass in the range Mh ∼ 121–126 GeV was predicted, in striking agreement with the recent discovery of a Higgs‐like state around ∼ 125.5 GeV at ATLAS and CMS. Furthermore the favoured model, a finiteness constrained version of the MSSM, naturally predicts a relatively heavy spectrum with coloured supersymmetric particles above ∼ 1.5 TeV, consistent with the non‐observation of those particles at the LHC. Restricting further the best FUT's parameter space according to the discovery of a Higgs‐like state and B‐physics observables we find predictions for the rest of the Higgs masses and the supersymmetric particle spectrum.

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Constraints on finite soft supersymmetry-breaking terms

Cited by 62 publications

References 102 publications

Exact Gauge - Yukawa - Finite Unified Theories and their Predictions

Exact Gauge - Yukawa - Finite Unified Theories and their Predictions

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

Finite theories before and after the discovery of a Higgs boson at the LHC

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