rpp2010-rev-susy-1-theory - 1 SUPERSYMMETRY PART I(THEORY...

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–1– SUPERSYMMETRY, PART I (THEORY) Revised October 2009 by Howard E. Haber (UC Santa Cruz). I.1. Introduction I.2. Structure of the MSSM I.2.1. Constraints on supersymmetric parameters I.2.2. R-parity and the lightest supersymmetric particle I.2.3. The goldstino and gravitino I.2.4. Hidden sectors and the structure of supersymmetry- breaking I.2.5. Supersymmetry and extra dimensions I.2.6. Split-supersymmetry I.3. Parameters of the MSSM I.3.1. The supersymmetry-conserving parameters I.3.2. The supersymmetry-breaking parameters I.3.3. MSSM-124 I.4. The supersymmetric-particle spectrum I.4.1. The charginos and neutralinos I.4.2. The squarks, sleptons and sneutrinos I.5. The Higgs sector of the MSSM I.5.1. The tree-level MSSM Higgs sector I.5.2. The radiatively-corrected MSSM Higgs sector I.6. Restricting the MSSM parameter freedom I.6.1. Bottom-up approach for constraining the MSSM parameters I.6.2. Top-down approach for constraining the MSSM parameters I.6.3. Anomaly-mediated supersymmetry-breaking I.7. The constrained MSSMs: mSUGRA, GMSB, and SGUTs I.7.1. The minimal supergravity model I.7.2. Gauge-mediated supersymmetry-breaking I.7.3. Supersymmetric grand uniFcation I.8. Massive neutrinos in low-energy supersymmetry I.8.1. The supersymmetric seesaw I.8.2. R-parity-violating supersymmetry I.9. Extensions beyond the MSSM CITATION: K. Nakamura et al. (Particle Data Group), JPG 37 , 075021 (2010) (URL: http://pdg.lbl.gov) July 30, 2010 14:34
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–2– I.1. Introduction: Supersymmetry (SUSY) is a generaliza- tion of the space-time symmetries of quantum Feld theory that transforms fermions into bosons and vice versa. The existence of such a non-trivial extension of the Poincar´ e symmetry of ordinary quantum Feld theory was initially surprising, and its form is highly constrained by theoretical principles [1]. Su- persymmetry also provides a framework for the uniFcation of particle physics and gravity [2–5], which is governed by the Planck energy scale, M P 10 19 GeV (where the gravitational interactions become comparable in magnitude to the gauge in- teractions). In particular, it is possible that supersymmetry will ultimately explain the origin of the large hierarchy of energy scales from the W and Z masses to the Planck scale [6–10]. This is the so-called gauge hierarchy . The stability of the gauge hierarchy in the presence of radiative quantum corrections is not possible to maintain in the Standard Model, but can be maintained in supersymmetric theories. If supersymmetry were an exact symmetry of nature, then particles and their superpartners (which di±er in spin by half a unit) would be degenerate in mass. Since superpartners have not (yet) been observed, supersymmetry must be a broken symme- try. Nevertheless, the stability of the gauge hierarchy can still be maintained if the supersymmetry breaking is soft [11,12], and the corresponding supersymmetry-breaking mass parameters are no larger than a few TeV. In particular, soft-supersymmetry- breaking terms of the Lagrangian are either linear, quadratic, or cubic in the Felds, with some restrictions elucidated in Ref. 11. The impact of such terms becomes negligible at energy
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This note was uploaded on 06/07/2011 for the course PHYS 4132 taught by Professor Kutter during the Spring '11 term at University of Florida.

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rpp2010-rev-susy-1-theory - 1 SUPERSYMMETRY PART I(THEORY...

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