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Gravitinos and hidden Supersymmetry at the LHC - Universität ...

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Contents<br />

Contents<br />

List of Figures<br />

List of Tables<br />

i<br />

iii<br />

v<br />

1 Introduction 1<br />

2 <strong>Supersymmetry</strong> <strong>and</strong> Supergravity 9<br />

2.1 Global <strong>Supersymmetry</strong> . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13<br />

2.2 The Minimal Supersymmetric St<strong>and</strong>ard Model . . . . . . . . . . . . . . . . . 18<br />

2.2.1 Electroweak Symmetry Breaking . . . . . . . . . . . . . . . . . . . . . 20<br />

2.2.2 Neutralinos <strong>and</strong> Charginos . . . . . . . . . . . . . . . . . . . . . . . . 22<br />

2.2.3 Scalar Tau Leptons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24<br />

2.3 Supergravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24<br />

2.3.1 The Supergravity Lagrangian . . . . . . . . . . . . . . . . . . . . . . . 25<br />

2.3.2 The Super-Higgs mechanism . . . . . . . . . . . . . . . . . . . . . . . 28<br />

2.4 Origins of <strong>Supersymmetry</strong> Breaking . . . . . . . . . . . . . . . . . . . . . . . 29<br />

2.4.1 Minimal Supergravity (mSUGRA) Model . . . . . . . . . . . . . . . . 30<br />

2.4.2 Hybrid Gauge-Gravity Medi<strong>at</strong>ion . . . . . . . . . . . . . . . . . . . . . 31<br />

2.4.3 Anomaly Medi<strong>at</strong>ion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />

2.5 The massive Gravitino . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

2.5.1 Gravitino Cosmology . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35<br />

3 R-parity Breaking 39<br />

3.1 R-symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40<br />

3.2 From R-symmetry to R-parity . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

3.3 P<strong>at</strong>terns of R-parity Breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . 43<br />

3.4 Bilinear R-parity Breaking . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44<br />

3.4.1 Neutralinos <strong>and</strong> Charginos . . . . . . . . . . . . . . . . . . . . . . . . 48<br />

3.4.2 Gravitino Interactions . . . . . . . . . . . . . . . . . . . . . . . . . . . 49<br />

3.5 Spontaneous R-parity Breaking . . . . . . . . . . . . . . . . . . . . . . . . . . 49<br />

3.5.1 Hierarchy of R-parity viol<strong>at</strong>ing Couplings . . . . . . . . . . . . . . . . 52<br />

4 Broken R-parity: From <strong>the</strong> Sky to <strong>the</strong> <strong>LHC</strong> 55<br />

4.1 Neutral, Charged <strong>and</strong> Supercurrents . . . . . . . . . . . . . . . . . . . . . . . 55<br />

4.2 R-parity viol<strong>at</strong>ing Decays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61<br />

i

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