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

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List of Figures<br />

2.1 Stability <strong>and</strong> perturb<strong>at</strong>ivity bounds on <strong>the</strong> Higgs mass. . . . . . . . . . . . . 12<br />

2.2 Mass spectra of supersymmetric particles in different scenarios of supersymmetry<br />

breaking. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

3.1 Frogg<strong>at</strong>t-Nielsen fields gener<strong>at</strong>ing effective Yukawa coupling. . . . . . . . . . . 53<br />

4.1 Supersymmetric µ parameter <strong>and</strong> <strong>the</strong> soft breaking term B in supergravity<br />

models as functions of <strong>the</strong> bino mass M 1 . . . . . . . . . . . . . . . . . . . . . 57<br />

4.2 Gravitino decay into photon <strong>and</strong> neutrino. . . . . . . . . . . . . . . . . . . . . 62<br />

4.3 Neutralino decays into neutrino <strong>and</strong> Z boson, charged lepton <strong>and</strong> W boson,<br />

<strong>and</strong> neutrino <strong>and</strong> <strong>the</strong> lightest Higgs boson. . . . . . . . . . . . . . . . . . . . . 65<br />

4.4 Two functions of <strong>the</strong> neutralino mass m χ 0<br />

1<br />

which demonstr<strong>at</strong>e th<strong>at</strong> <strong>the</strong> decoupling<br />

limit is s<strong>at</strong>isfied for <strong>the</strong> boundary conditions giving bino-like neutralino<br />

NLSP. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68<br />

4.5 Sample Feynman diagram for <strong>the</strong> single resonant s-channel production of <strong>the</strong><br />

˜¯d squark in e − p collisions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75<br />

4.6 Exclusion limits on <strong>the</strong> λ ′ 113 coupling from <strong>the</strong> H1 experiment <strong>at</strong> HERA. . . . 76<br />

4.7 Feynman diagrams for <strong>the</strong> two R-parity viol<strong>at</strong>ing processes under consider<strong>at</strong>ion<br />

by <strong>the</strong> ATLAS collabor<strong>at</strong>ion. . . . . . . . . . . . . . . . . . . . . . . . . . . . 77<br />

4.8 Exclusion limits on R-parity viol<strong>at</strong>ing couplings from <strong>the</strong> ATLAS experiment<br />

<strong>at</strong> <strong>LHC</strong>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78<br />

4.9 Observed <strong>and</strong> expected 95% C.L .exclusion limits from ATLAS in bilinear R-<br />

parity viol<strong>at</strong>ion model. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79<br />

4.10 Upper bounds on λ ′2 × BR(ẽ i , /˜ν i → jj) derived from <strong>LHC</strong> results on dijet<br />

resonance searches. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80<br />

4.11 Upper limits on <strong>the</strong> couplings (a) λ ′ 211 <strong>and</strong> (b) λ′ 222 derived from <strong>the</strong> ATLAS<br />

search for anomalous production of prompt like-sign muon pairs assuming a<br />

bino-like neutralino. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81<br />

4.12 Bounds on <strong>the</strong> gravitino lifetime from observ<strong>at</strong>ions of charged cosmic rays <strong>and</strong><br />

sensitivity of forthcoming experiments. . . . . . . . . . . . . . . . . . . . . . . 83<br />

4.13 Bounds on <strong>the</strong> gravitino lifetime from observ<strong>at</strong>ions of <strong>the</strong> diffuse extragalactic<br />

gamma-ray background <strong>and</strong> from photon line searches. . . . . . . . . . . . . . 84<br />

4.14 Phase space suppression factors <strong>and</strong> branching r<strong>at</strong>ios of a bino-like neutralino<br />

as functions of <strong>the</strong> neutralino mass. . . . . . . . . . . . . . . . . . . . . . . . . 88<br />

4.15 Higgsino-like neutralino branching r<strong>at</strong>ios as functions of <strong>the</strong> neutralino mass. 90<br />

4.16 The ˜τ-mixing angle sin 2 (θ τ ) as a function of <strong>the</strong> lightest ˜τ-mass m˜τ1 . . . . . . 91<br />

iii

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