La découverte d'une particule similaire au boson de Higgs, dernière pièce manquante du Modèle Standard (MS) de la physique des particules élémentaires, est en voie d'être confirmée par les expériences CMS et ATLAS du Large Hadron Collider du CERN. Cependant, il n'est pour le moment pas encore établit que les caractéristiques de la particule observée correspondent aux prédictions du MS. Cela, associé à d'autres observations (Matière Noire,...), motive l'analyse des extensions supersymétriques du MS comme le NMSSM. Nous étudions dans cette thèse la solution au problème de la hiérarchie des échelles d'énergie dans le NMSSM, lié aux divergences quadratiques de la masse du boson de Higgs, ainsi que la phénoménologie du NMSSM avec une brisure de la supersymétrie par interactions de jauge en tenant compte des dernières données du LHC. Enfin, nous détaillons les développements des codes de NMSSMTools effectués au cours de cette thèse~: l'introduction de Chaînes de Markov, le calcul du Fine Tuning, le calcul des cascades de désintégrations des partenaires supersymétriques en particules du MS et l'implémentation du NMSSM général. / The discovery of a particle similar to the Higgs boson predicted by the Standard Model (SM) of particle physics has been confirmed by the experiments CMS and ATLAS of the Large Hadron Collider at the CERN. However, it is not yet clear that the properties of this particle are those predicted by the SM. This, in addition with several other observations (Dark Matter,...), is a motivation for analysing supersymmetric extensions of the SM, as the NMSSM. We study in this thesis the solution of the Hierarchy problem in the NMSSM, linked with the quadratic divergences in the Higgs sector, and also the phenomenology of the NMSSM with gauge mediation supersymmetry breaking in the light of the latest data from the LHC. Finally, we present the developments made in the codes of the package NMSSMTools, featuring Monte Carlo Markov Chain methods, Fine Tuning calculus, the calculus of supersymmetric particle's cascade decays and the implementation of the general NMSSM.

La présente thèse traite des propriétés de la Matière Noire (MN), en particulier dans le contexte du Next-to-Minimal Supersymmetric Standard Model (NMSSM). En premier lieu, est examinée la question de savoir si un neutralino dans le NMSSM pourrait expliquer un excès de photon monochromatique possiblement présent dans les données Fermi-LAT. Il est montré qu’un neutralino, associé à l’anéantissement d’une particule Higgs CP-impair échangée dans le canal s, peut, en principe, donner lieu à une section efficace suffisamment grande. Sont également étudiés les modèles asymétriques de matière noire aux fins d’expliquer la MN actuelle et la densité de baryons. Les limites supérieures de l’auto- anéantissement de la section efficace, qui peuvent potentiellement détruire la MN asymétrique, sont dérivées et appliquées à une variété de modèles. Enfin, est proposé un modèle supersymétrique qui prévoit des sneutrinos en tant que MN asymétrique viable et qui explique les petites valeurs de la masse des neutrinos. Sont ainsi étudiées des limites à ce modèle à partir de la physique des particules, de la cosmologie et des observations de la MN. / This thesis deals with Dark Matter (DM) properties, mainly in the context of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). First, it is examined whether a neutralino in the NMSSM could explain a monochromatic photon excess possibly present in the Fermi-LAT data. It is shown that neutralino pair annihilation with a CP-odd Higgs exchanged in s-channel can, in principle, give rise to a sufficiently large cross section. Asymmetric dark matter models, aiming at the explanation of the coincidence of present-day DM and baryon abundances, are also discussed. Upper bounds on DM self-annihilation cross section, which can potentially destroy the DM asymmetry, are derived and applied to a variety of models. Finally, a supersymmetric model is proposed, providing sneutrinos as viable asymmetric DM and explaining the smallness of neutrino masses. Bounds on this model from particle physics, cosmology and DM searches are studied.

Hard diffraction in proton collisions, where the initial state proton emerges from the interaction rather undisturbed despite a hard interaction scale, has been studied for a few decades. First observed in proton-proton collisions, the phenomenon is seen as well in deep inelastic electron-proton scattering (DIS) as a leading final state proton and a rapidity gap-region without final state particles. Although a rather successful description in terms of the exchange of a hadronic color singlet pomeron with a parameterized gluon content exists, it is still an open question whether a theoretically more well-founded description can be obtained based on quantum chromodynamics. The soft color interaction model (SCI) attempts this through additional gluon exchanges at momentum scales below the conventional scale of perturbative QCD and the hadronization scale. Such gluons can lead to an effective color singlet exchange and therefore to diffraction. This thesis explores the phenomenology of the SCI model in diffractive W and photon+jet production. For diffractive deep inelastic scattering, a dynamic color screening model is developed based on a summed amplitude for soft gluon exchanges. The studies of the model within Monte Carlo event simulation show that the additional dynamics improve the description of electron-positron scattering data from HERA. Dijet events in proton-proton collisions with an upper limit on the energy flow between the jets is sensitive to large angle gluon emissions. This thesis applies a resummation method which takes into account also secondary emissions to describe this observable and shows that a good description of data from ATLAS can be achieved. Supersymmetric extensions to the Standard Model provide a possible explanation for dark matter in the universe. The next-to-minimal supersymmetric extension (NMSSM) can contain a dark matter candidate in form of the lightest neutralino with a substantial singlino component. This thesis studies the prospects for indirect detection of dark matter for such viable NMSSM model points via the observation of neutrinos from neutralino annihilation in the sun with IceCube and the future extension PINGU. It is shown that with a few years of data taking large parts of the parameter space can be excluded or a discovery be made.

<p>Next-to-minimal super-symmetric extensions of the Standard Model (SM) predict the existence of several non-SM like Higgs bosons. The process pp→a₁h^±→4b+W involves the production and the decay of a spin-0 charged Higgs boson and a CP-odd Higgs boson a₁ which can have a sizable cross section in the NMSSM. The invariant masses of these intermediate bosons can be reconstructed from the four momenta of the final state particles using mass minimization algorithms. This thesis presents a cut-based analysis of two mass scenarios and specialized algorithms that are capable of recovering the signal in a large background arising from Standard Model processes such as ttbar. The analysis is tested with a realistic ATLAS detector simulation investigating trigger efficiencies and probing several jet reconstruction algorithms.</p>

Next-to-minimal super-symmetric extensions of the Standard Model (SM) predict the existence of several non-SM like Higgs bosons. The process pp→a1h±→4b+W involves the production and the decay of a spin-0 charged Higgs boson and a CP-odd Higgs boson a1 which can have a sizable cross section in the NMSSM. The invariant masses of these intermediate bosons can be reconstructed from the four momenta of the final state particles using mass minimization algorithms. This thesis presents a cut-based analysis of two mass scenarios and specialized algorithms that are capable of recovering the signal in a large background arising from Standard Model processes such as ttbar. The analysis is tested with a realistic ATLAS detector simulation investigating trigger efficiencies and probing several jet reconstruction algorithms.

This thesis deals with Dark Matter (DM) properties, mainly in the context of the Next-to-Minimal Supersymmetric Standard Model (NMSSM). First, it is examined whether a neutralino in the NMSSM could explain a monochromatic photon excess possibly present in the Fermi-LAT data. It is shown that neutralino pair annihilation with a CP-odd Higgs exchanged in s-channel can, in principle, give rise to a sufficiently large cross section. Asymmetric dark matter models, aiming at the explanation of the coincidence of present-day DM and baryon abundances, are also discussed. Upper bounds on DM self-annihilation cross section, which can potentially destroy the DM asymmetry, are derived and applied to a variety of models. Finally, a supersymmetric model is proposed, providing sneutrinos as viable asymmetric DM and explaining the smallness of neutrino masses. Bounds on this model from particle physics, cosmology and DM searches are studied.