Renormalisation invariance and the soft β-functions

Jack, I.; Jones, D.R.T.; Pickering, A.

doi:10.1016/s0370-2693(98)00270-6

Cited by 111 publications

(140 citation statements)

References 12 publications

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“…A comparison of the superpotential and soft-breaking terms with their MSSM counterparts (6) and (7) shows clearly the way the MSSM limit is reached. Indeed, below the U(1) ′ breaking scale the effective theory resembles the MSSM (it just resembles because, for instance, the neutralino sector of the MSSM is extended by U(1) ′ gaugino and singlino S states) with the parameters…”

Section: The Rg Invariants In U(1) ′ Modelmentioning

confidence: 94%

“…Concerning this, a highly useful tool is provided by the RG-invariant observables. Indeed, such quantities prove highly useful not only for projecting the experimental data to high energies but also for deriving certain sum rules which enable fast consistency checks of the model [4,5,6]. However, it should be kept in mind that, even the RG-invariant observables cannot be guaranteed to work perfectly because (i) the RG invariance holds at a given loop order and it is generically disrupted by higher loop effects (In general, scale and conformal invariances imply each other [7], and superconformal group involves both scale invariance and a continuous R symmetry with correlated charges [8].…”

Section: Introductionmentioning

confidence: 99%

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Renormalization group invariants in the MSSM and its extensions

Demir

2005

J. High Energy Phys.

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We derive one-loop renormalization group (RG) invariant observables and analyze their phenomenological implications in the MSSM and its µ problem solving extensions, U(1) ′ model and NMSSM. We show that there exist several RG invariants in the gauge, Yukawa and soft-breaking sectors of each model. In general, RG invariants are highly useful for projecting experimental data to messenger scale, for revealing correlations among the model parameters, and for probing the mechanism that breaks supersymmetry. The Yukawa couplings and trilinear soft terms in U(1) ′ model and NMSSM do not form RG invariants though there exist approximate invariants in low tan β domain. In the NMSSM, there are no invariants that contain the Higgs masssquareds. We provide a comparative analysis of RG invariants in all three models and analyze their model-building and phenomenological implications by a number of case studies.

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Section: The Rg Invariants In U(1) ′ Modelmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Renormalization group invariants in the MSSM and its extensions

Demir

2005

J. High Energy Phys.

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“…[38][39][40][41][42][43][44], based conceptually and technically on the work of ref. [45]: the powerful supergraph method [46][47][48][49] for studying supersymmetric theories was applied to the softly broken ones by using the "spurion" external space-time independent superfields [50].…”

Section: Jhep08(2018)150mentioning

confidence: 99%

“…The key point in the strategy of refs. [41][42][43][44] in solving the set of coupled differential equations so as to be able to…”

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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“…Making use of the spurion technique [56,[78][79][80][81], it is possible to find the following all-loop relations among SSB β-functions [82][83][84][85][86][87]:…”

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

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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Renormalisation invariance and the soft β-functions

Cited by 111 publications

References 12 publications

Renormalization group invariants in the MSSM and its extensions

Renormalization group invariants in the MSSM and its extensions

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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