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      Beyond the Standard Model (In Search of Supersymmetry)

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          Abstract

          The present lectures contain an introduction to low energy supersymmetry, a new symmetry that relates bosons and fermions, in particle physics. The Standard Model of fundamental interactions is briefly reviewed, and the motivation to introduce supersymmetry is discussed. The main notions of supersymmetry are introduced. The supersymmetric extension of the Standard Model - the Minimal Supersymmetric Standard Model - is considered in more detail. Phenomenological features of the MSSM as well as possible experimental signatures of SUSY are described. An intriguing situation with the supersymmetric Higgs boson is discussed.

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          All Possible Symmetries of theSMatrix

          Sidney Coleman, Jeffrey Mandula (1967)
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            Study of Constrained Minimal Supersymmetry

            Leszek Roszkowski, Chris Kolda, G. L. Kane … (1993)
            Taking seriously phenomenological indications for supersymmetry, we have made a detailed study of unified minimal SUSY, including effects at the few percent level in a consistent fashion. We report here a general analysis without choosing a particular unification gauge group. We find that the encouraging SUSY unification results of recent years do survive the challenge of a more complete and accurate analysis. Taking into account effects at the 5-10% level leads to several improvements of previous results, and allows us to sharpen our predictions for SUSY in the light of unification. We perform a thorough study of the parameter space. The results form a well-defined basis for comparing the physics potential of different facilities. Very little of the acceptable parameter space has been excluded by LEP or FNAL so far, but a significant fraction can be covered when these accelerators are upgraded. A number of initial applications to the understanding of the SUSY spectrum, detectability of SUSY at LEP II or FNAL, BR(\(b\to s\gamma\)), Width(\(Z\to b\bar b\)), dark matter, etc, are included in a separate section. We formulate an approach to extracting SUSY parameters from data when superpartners are detected. For small tan(beta) or large \(m_top\) both \(M_half\) and \(M_0\) are entirely bounded from above at O(1 tev) without having to use a fine-tuning constraint.
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              The Supersymmetric Particle Spectrum

              M Berger, P. Ohmann, V. Barger (1993)
              We examine the spectrum of supersymmetric particles predicted by grand unified theoretical (GUT) models where the electroweak symmetry breaking is accomplished radiatively. We evolve the soft supersymmetry breaking parameters according to the renormalization group equations (RGE). The minimization of the Higgs potential is conveniently described by means of tadpole diagrams. We present complete one-loop expressions for these minimization conditions, including contributions from the matter and the gauge sectors. We concentrate on the low \(\tan \beta\) fixed point region (that provides a natural explanation of a large top quark mass) for which we find solutions to the RGE satisfying both experimental bounds and fine-tuning criteria. We also find that the constraint from the consideration of the lightest supersymmetric particle as the dark matter of the universe is accommodated in much of parameter space where the lightest neutralino is predominantly gaugino. The supersymmetric mass spectrum displays correlations that are model-independent over much of the GUT parameter space.
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                Author and article information

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                Publication date Created: 21 December 2000
                Publication date Updated: 2001-01-11
                Article
                ArXiV ID: hep-ph/0012288
                SO-VID: ac12c2f3-cb87-4ff3-b758-27be92b62936
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                Comments LaTeX2e, 80 pages, 60 eps figures, v2 references corrected Lectures given at the European School for High Energy Physics, Caramulo, Portugal, Aug.-Sept. 2000
                Categories hep-ph

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