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Table of contents
1 The quest for dark matter particles
1.1 Evidences for dark matter
1.1.1 Local Dark Matter
1.1.2 Galaxy clusters
1.1.3 Spiral galaxies
1.1.4 Cosmological Scale
1.2 Dark matter candidates
1.2.1 Massive Astrophysical Compact Halo Objects (MACHOs)
1.2.2 The WIMPS
1.2.3 Examples of particle candidates
1.3 Dark matter particle detection
1.3.1 Indirect detection
1.3.2 Direct detection
2 Supersymmetry
2.1 The Standard Model
2.1.1 Particle content
2.1.2 Symmetry groups
2.1.3 Standard Model Lagrangian
2.1.4 Beyond the Standard Model
2.2 The supersymmetric hypothesis
2.2.1 Grand Unified Theory
2.2.2 Supergravity and theory of everything
2.2.3 Hierarchy problem
2.2.4 R-Parity and dark matter
2.3 Supersymmetric Lagrangian
2.3.1 Chiral supermultiplet
2.3.2 Gauge supermuliplet
2.3.3 Gauge interactions
2.4 The Minimal Supersymmetric Standard Model
2.4.1 Higgs sector
2.4.2 Sfermion sector
2.4.3 Gaugino-Higgsino sector
2.4.4 Constrained Models
2.4.5 Extensions of the MSSM
2.5 SUSY searches at colliders
2.5.1 Electron/positron Colliders
2.5.2 Hadron Colliders
II Astrophysical and nuclear uncertainties of dark matter direct an indirect detection constraints
3 Robustness of dark matter constraints and interplay with collider searches for New Physics
3.1 Objectives of the analysis
3.2 Method
3.2.1 MSSM Scans
3.2.2 Dark matter constraints
3.2.3 Collider constraints
3.3 Results
3.3.1 Relic density constraints
3.3.2 Indirect detection constraints
3.3.3 Direct detection constraints
3.3.4 Combined dark matter constraints
3.3.5 Collider and Dark Matter constraints
4 New extensions and features in Superiso Relic
4.1 SuperIso Relic
4.2 Direct detection
4.2.1 Generalities
4.2.2 Scattering cross sections
4.2.3 Uncertainties on the nucleon and nuclear form factors
4.2.4 Experimental limits
4.3 Indirect detection
4.3.1 Fluxes at production
4.3.2 Constraints from Fermi-LAT dwarf spheroïdal galaxies
4.3.3 Constraints from AMS-02 antiprotons
III Relic density in alternative cosmological scenario
5 Dark Matter Casts Light on the Early Universe
5.1 Introduction
5.2 Relic density calculation
5.3 Cosmological scenarios
5.3.1 Decaying primordial scalar field
5.3.2 Quintessence
5.4 New physics scenarios
5.4.1 Benchmark Point A
5.4.2 Benchmark Point B
5.4.3 Sample of pMSSM19 Points
5.5 Results
5.5.1 Decaying primordial scalar field
5.5.2 Quintessence
5.6 Conclusion
General Conclusion



