Supersymmetric mass spectrum in SU(5) supergravity grand unification

Arnowitt, R.; Nath, Pran

doi:10.1103/physrevlett.69.725

Cited by 274 publications

(335 citation statements)

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“…For models in which the gaugino masses are given by a universal parameter m 1/2 at the scale Λ GUT 2 × 10 16 GeV, the analysis of Ref. [2,33] found that Eq. (10) is consistent with mχ± 1 ∼ mχ0 2 ∼ (0.9 ± 0.1)m 1/2 ; thus in the interest of obtaining models with low mass gauginos, we restrict m 1/2 to the range 100 GeV ≤ m 1/2 ≤ 175 GeV.…”

Section: Analysis Of the Parameter Space And Sparticle Massesmentioning

confidence: 99%

“…As a consequence of the breaking of supersymmetry, one obtains soft masses and couplings of the form [1,2] …”

Section: Introductionmentioning

confidence: 99%

“…In addition, a (bilinear) soft Higgs mixing term proportional to µ 0 of the form B 0 µ 0 (H 1 H 2 + h.c.) arises from the superpotential, where H 2 (H 1 ) are the Higgs doublets which give mass to the up quarks (down quarks and charged leptons). The constraints of electroweak symmetry breaking allow the determination of |µ| (where µ is µ 0 at the electroweak scale) in terms of M Z and further one makes the replacement of B 0 by the ratio of the Higgs vacuum expectation values tan β = H 0 2 / H 0 1 leaving minimally 4 parameters and one sign needed as input to define the model [1,2] m 0 , m 1/2 , A 0 , tan β, sign(µ) .…”

Section: Introductionmentioning

confidence: 99%

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Predictive signatures of supersymmetry: Measuring the dark matter mass and gluino mass with early LHC data

et al. 2011

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We present a focused study of a predictive unified model whose measurable consequences are immediately relevant to early discovery prospects of supersymmetry at the LHC. ATLAS and CMS have released their analysis with 35 pb −1 of data and the model class we discuss is consistent with this data. It is shown that with an increase in luminosity the LSP dark matter mass and the gluino mass can be inferred from simple observables such as kinematic edges in leptonic channels and peak values in effective mass distributions. Specifically, we consider cases in which the neutralino is of low mass and where the relic density consistent with WMAP observations arises via the exchange of Higgs bosons in unified supergravity models. The magnitudes of the gaugino masses are sharply limited to focused regions of the parameter space, and in particular the dark matter mass lies in the range ∼ (50 − 65) GeV with an upper bound on the gluino mass of 575 GeV, with a typical mass of 450 GeV. We find that all model points in this paradigm are discoverable at the LHC at √ s = 7 TeV. We determine lower bounds on the entire sparticle spectrum in this model based on existing experimental constraints. In addition, we find the spin-independent cross section for neutralino scattering on nucleons to be generally in the range of σ SĨ χ 0 1 p = 10 −46±1 cm 2 with much higher cross sections also possible. Thus direct detection experiments such as CDMS and XENON already constrain some of the allowed parameter space of the low mass gaugino models and further data will provide important cross-checks of the model assumptions in the near future.

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Section: Analysis Of the Parameter Space And Sparticle Massesmentioning

confidence: 99%

“…As a consequence of the breaking of supersymmetry, one obtains soft masses and couplings of the form [1,2] …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Predictive signatures of supersymmetry: Measuring the dark matter mass and gluino mass with early LHC data

et al. 2011

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“…We discuss next the implications of imposing simultaneously the proton stability and dark matter constraints. The result of the analysis for the case of the minimal SU (5) Fig.2 we have also considered the case when the naturalness limit on m 0 is raised to 5 TeV (dashed curve). We find that even in this case the upper limit on the gluino mass does not exceed 500 GeV.…”

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confidence: 99%

“…lightest neutralino (χ 0 1 ) in almost all of the parameter space of the model [5], and thus the χ 0 1 is a candidate for cold dark matter (CDM). In this Letter we show that the combined constraints of proton stability and dark matter put an upper limit on the gluino mass of 500 GeV for the case of the minimal supersymmetric SU(5) model as well as constraining the masses of the other SUSY particles.…”

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confidence: 99%

Limits on SUSY particle spectra from proton stability and dark matter constraints

Arnowitt¹,

Nath

1998

Physics Letters B

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It is shown that the combined constraints on the amount of cold dark matter and of proton stability produce a stringent upper limit on the gluino mass mg (and hence on the lightest neutralino mass m χ 0 1 ≃ mg/7 for a large class of gravity mediated supergravity unified models. One finds that for the minimal SU(5) model current data (Kamiokande) restricts mg ≤ 400 GeV for a scalar soft breaking mass m 0 ≤ 1 TeV. Expected future data from Super Kamionkande and ICARUS will be sensitive to the entire range of gluino mass for m 0 ≤ 1 TeV, and be able to exclude the region mg ≥ 500 GeV for m 0 ≤ 5 TeV. Effects of quark mass textures are studied and one finds that the bound mg ≤ 500 GeV holds when the experimental proton lifetime for the p →νK + mode becomes ≥ 5 × 10 32 yr. Implications of these results for a test of these models at the Tevatron and at the LHC are discussed. The effects of nonuniversal soft breaking in the Higgs and the third generation squark sectors are also examined, and it is found that the proton lifetime is sensitive to these non-universal effects. The current data already eliminates some regions of non-universalities. The constraints of proton stability on the direct detection of dark matter are seen to reduce the maximum event rates by as much as a factor of 10 3 .Introduction: In this Letter we study the combined constraints of proton stability and supersymmetric dark matter on supergravity unified models with R-parity invariance. We consider models where gravity breaks supersymmetry in a hidden sector at scale ≥ M G (the GUT scale) with gravity as the messenger to the physical sector. Models with R parity invariance eliminate in a natural fashion dimension four operators responsible for rapid proton decay. However, as is well known one can have proton decay proceeding via dimension five operators [1,2]. Simultaneously, with R parity invariance one finds that the lightest supersymmetric particle (LSP) is absolutely stable and further in supergravity unification [3,4] the LSP is seen to be the 1

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Supersymmetry after the Higgs

Nath

2015

Annalen der Physik

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A brief review is given of the implications of a 126 GeV Higgs boson for the discovery of supersymmetry. Thus a 126 GeV Higgs boson is problematic within the Standard Model because of vacuum instability pointing to new physics beyond the Standard Model. The problem of vacuum stability is overcome in the SUGRA GUT model but the 126 GeV Higgs mass implies that the average SUSY scale lies in the several TeV region. The largeness of the SUSY scale relieves the tension on SUGRA models since it helps suppress flavor changing neutral currents and CP violating effects and also helps in extending the proton life time arising from baryon and lepton number violating dimension five operators. The geometry of radiative breaking of the electroweak symmetry and fine tuning in view of the large SUSY scale are analyzed.Consistency with the Brookhaven g μ − 2 result is discussed. It is also shown that a large SUSY scale implied by the 126 GeV Higgs boson mass allows for light gauginos (gluino, charginos, neutralinos) and sleptons. These along with the lighter third generation squarks are the prime candidates for discovery at RUN II of the LHC. Implication of the 126 GeV Higgs boson for the direct search for dark matter is discussed. Also discussed are the sparticles mass hierarchies and their relationship with the simplified models under the Higgs boson mass constraint.In 2012 the Large Hadron Collider (LHC) made a landmark discovery of a new boson. Thus the CMS and AT-LAS collaborations discovered a boson with a mass of ∼126 GeV [1][2][3][4]. It is now confirmed that this newly discovered particle is the long sought after Higgs boson [5][6][7][8] which plays a central role in the breaking of the electroweak symmetry. While the observed particle is the last missing piece of the Standard Model there are strong indications that at the same time its discovery portends discovery of a new realm of physics specifically supersymmetry. Below we elaborate on this theme in further detail.The outline of the rest of the paper is as follows: In Section 1 we discuss the status of the Higgs boson in the Standard Model, the issue of vacuum instability and the need for new physics beyond the Standard Model. In Section 2 we consider the implications of a 126 GeV Higgs boson within the framework of supersymmetry and specifically in the framework of supergravity unified models. As is well known a 126 GeV Higgs boson within supersymmetry leads to a high SUSY scale M s with M s lying in the TeV region. On the other hand the Brookhaven g μ − 2 experiment [9] shows a 3σ deviation from the Standard Model prediction [10,11]. An effect of this size requires that the average scale of sparticle masses entering the loops in the supersymmetric electroweak correction to g μ − 2 be low, i..e, O(100) GeV. Assuming the 3σ effect is robust we discuss in Section 3 how to reconcile the high SUSY scale that is indicated by the 126 GeV Higgs boson mass with the low SUSY scale indicated by the Brookhaven experiment. In Section 4 we discuss the implications of the Higgs ...

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Supersymmetric mass spectrum in SU(5) supergravity grand unification

Cited by 274 publications

References 22 publications

Predictive signatures of supersymmetry: Measuring the dark matter mass and gluino mass with early LHC data

Predictive signatures of supersymmetry: Measuring the dark matter mass and gluino mass with early LHC data

Limits on SUSY particle spectra from proton stability and dark matter constraints

Supersymmetry after the Higgs

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