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.

Le 4 Juillet 2012, la découverte d'une nouvelle particule scalaire d'une masse de l’ordre de 125 GeV a été annoncée par les collaborations ATLAS et CMS.Une nouvelle ère s'annonce : celle au cours de laquelle il faudra déterminer précisément les propriétés de cette nouvelle particule.Cela est crucial afin d'établir si cette particule est bien la trace du mécanisme responsable de la brisure de la symétrie du secteur électro-faible. Cela permettrait aussi de repérer tout élément susceptible d'être associé à une « nouvelle physique » dans le cas où le mécanisme de brisure ferait intervenir des ingrédients autres que ceux prédits par le Modèle Standard.Dans cette thèse, nous avons essayé de comprendre et de caractériser jusqu’à quel point ce nouveau champ scalaire est le boson de Higgs prédit par le Modèle Standard. Nous avons établi les applications d'une telle découverte dans le contexte de théories supersymétriques et de modèles décrivant la matière noire.Dans une première partie consacrée au Modèle Standard de la physique des particules, nous étudions après une courte introduction au domaine, le processus de production d'une paire de bosons de Higgs au LHC. Un résultat majeur est que ce mode de production permettra de mesurer le couplage trilinéaire du Higgs qui est un paramètre essentiel à mesurer afin de reconstruire le potentiel du Higgs et donc représente la dernière vérification à effectuer pour confirmer l'origine de la brisure spontanée de la symétrie électro-faible.La deuxième partie traite des théories supersymétriques. Après une introduction au sujet, un de nos importants résultats est d'avoir fortement contraint un certain nombre de modèles supersymétriques après la découverte du boson de Higgs. Nous avons aussi introduit une nouvelle approche qui permet aux physiciens expérimentateurs de rechercher de manière efficace les bosons de Higgs supersymétriques dans les expériences actuelles et futures du LHC.La troisième partie concerne la matière noire. Nous présentons des résultats qui établis-sent d'importantes limitations sur des modèles où la matière noire interagirait avec le boson de Higgs. Nous discutons aussi de scénarios alternatifs qui font intervenir de la matière noire hors équilibre avec le bain thermique. Dans un premier temps nous dé-montrons qu'il existe un lien étroit entre la température de réchauffement de l'univers et le schéma de brisure du groupe de jauge du Modèle Standard et dans un deuxième temps nous étudions la genèse de matière noire par l'intermédiaire de nouveaux bosons Z’. / On the 4th of July 2012, the discovery of a new scalar particle with a mass of order 125 GeV was announced by the ATLAS and CMS collaborations. An important era is now opening: the precise determination of the properties of the produced particle. This is of extreme importance in order to establish that this particle is indeed the relic of the mechanism responsible for the electroweak symmetry breaking and to pin down effects of new physics if additional ingredients beyond those of the Standard Model are involved in the symmetry breaking mechanism. In this thesis we have tried to understand and characterize to which extent this new scalar field is the Standard Model Higgs Boson and set the implications of this discovery in the context of Supersymmetric theories and dark matter models.In a first part devoted to the Standard Model of particle physics, we discuss the Higgs pair production processes at the LHC and the main output of our results is that they al-low for the determination of the trilinear Higgs self-coupling which represents a first important step towards the reconstruction of the Higgs potential and thus the final verifica-tion of the Higgs mechanism as the origin of electroweak symmetry breaking.The second part is about Supersymmetric theories. After a review of the topics one of our result is to set strong restrictions on Supersymmetric models after the Higgs discov-ery. We also introduce a new approach which would allow experimentalists to efficiently look for supersymmetric heavy Higgs bosons at current and next LHC runs.The third part concerns dark matter. We present results which give strong constraints on Higgs-portal models. We finally discuss alternative non-thermal dark matter scenario. Firstly, we demonstrate that there exists a tight link between the reheating temperature and the scheme of the Standard Model gauge group breaking and secondly we study the genesis of dark matter by a Z’ portal.

Neste trabalho estudamos três diferentes aspectos envolvendo a supersimetria no contexto da teoria de campos em $(2+1)$ dimensões do espaço-tempo. Consideramos primeiramente a possibilidade da quebra dinâmica de supersimetria no modelo de Wess-Zumino, calculando o potencial efetivo até a aproximação de dois laços. Verificamos que o estado de vácuo permanece supersimétrico e que indução de massa e a correspondente quebra de simetria discreta não são perturbativamente consistentes. Em seguida, voltamos nossa atenção para a análise das identidades de Slavnov-Taylor na eletrodinâmica não comutativa supersimétrica. A transversalidade da polarização do vácuo é verificada explicitamente na aproximação de um laço e com a conclusão de que nenhuma anomalia é introduzida pela não comutatividade ou pelo esquema de regularização adotado no formalismo de supercampos. Por fim, o comportamento ultravioleta para a teoria de Yang-Mills-Chern-Simons supersimétrica acoplada minimamente com supercampos de matéria é investigado. Verificamos que o modelo é superenormalizável e que os termos divergentes persistem somente nas funções 1PI de dois pontos para o supercampo de calibre até a ordem de dois laços. / In this work we study three different aspects involving supersymmetry in the context of quantum field theory in $(2+1)$ space-time dimensions. We consider first the possibility of dynamical supersymmetry breaking in the Wess-Zumino model, calculating the effective potential up to two loops. We found that the vacuum state remains supersymmetric and the dynamical generation of mass together with the discrete symmetry breaking are not perturbatively consistent. Next, we turn our attention to the analysis of the Slavnov-Taylor identities in the noncommutative supersymmetric electrodynamics. The transversality of the vacuum polarization is verified explicitly in the one loop approximation with the conclusion that no anomaly is introduced by the noncommutativity or the regularization scheme adopted in the superfields formalism. Finally, the ultraviolet behavior for supersymmetric Yang-Mills-Chern-Simons theory minimally coupled to matter superfields is investigated. We verify that the model is superenormalizable and that the divergent terms persist only in the gauge superfield self-energy diagrams up to two-loop.

Este é um trabalho de revisão. Os principais formalismos no desenvolvimento da teoria de cordas são introduzidos e discutidos: a corda bosônica e as supercordas no formalismo de Ramond-Neveu-Schwarz e no formalismo de Green-Schwarz. São introduzidas também as açôes efetivas no limite de baixas energias das D-branas (ação DBI) e das teorias de supergravidade (D=10,11). Por fim, são analisados alguns aspectos da correspondência AdS/CFT, enunciando a conjectura e introduzindo algumas das entradas do dicionário. Os apêndices contêm tópicos de grande relevância para o texto e podem ajudar a esclarecer vários raciocínios e passagens ao longo do mesmo. / This is a review work. The main formalisms on the development of string theory are introduced and discussed: the bosonic string and the superstrings formalisms of Ramond-Never-Schwarz and Green-Schwarz. The effective actions in the low energy limit of the D-branes (DBI action) and supergravity theories (D=10,11) are introduced as well. Finally, some aspects of the AdS/CFT correspondence are analised, enunciating the conjecture and introducing some entries of the dictionary. The appendices contains some topics that are highly relevant for the whole text and may help clarify several ideas and arguments through it.

Our current understanding of matter and its interactions is summarised in the Standard Model (SM) of particle physics. Many experiments have tested the predictions of the SM with great success, but others have brought our ignorance into focus by showing us there are new phenomena that we can not describe within the framework of the SM. These include the experimental observations of neutrino masses and dark matter, which confirms there must be new physics. What this new physics may look like at colliders motivates the original work in this thesis, which comprises three studies: the prospects of future electron-positron colliders in testing a model with an extended Higgs sector with a scalar triplet, doublet and singlet; the discovery potential at the Large Hadron Collider (LHC) of a non-minimal Supersymmetric model via conventional sparticle searches and via searches for displaced vertices; and the experimental search for long-lived massive particles via a displaced vertex signature using data of proton-proton collisions collected at a collider center of mass energy of 8 TeV in 2012 by the ATLAS detector operating at the LHC.

Neste trabalho, discutimos alguns aspectos das teorias quânticas de campos não comutativas; renormalização, mistura infravermelha-ultravioleta, e consistência perturbativa. Tais aspectos são tratados através da análise das versões não-comutativas dos modelos de teorias quânticas de campos; em especial estudamos o modelo \'CP POT.N-1\' não-comutativo e suas respectivas extensões; minimal e supersimétrica. / In this work, we shall discuss some aspects of noncommutative quantum field theories; renormalization, ultraviolet-infrared mixing and perturbative consistency. Such topics have been developed through the analysis of noncommutative versions of quantum field theory models, in particular, we study the CP N-1 model and its extensions; minimal and supersymmetric.

O principal objetivo deste trabalho é propor testes para alguns aspectos do modelo padrão supersimétrico mínimo (MSSM), proposto como extensão do modelo padrão de física de partículas. Mais especificamente, testamos cenários de quebra de supersimetria mediada por interações de calibre (gauge). Mostramos como determinar limites para a escala de quebra de supersimetria e formas de detectar indiretamente partículas supersimétricas. Propomos testes a serem realizados por Telescópios de neutrinos como também por telescópios de uorescência atmosférica. Nestes cenários as partículas supersimétricas se originam a partir da interação de neutrinos cosmológicos de altíssimas energias com núcleons no interior da Terra. Determinamos, a partir de simulações Monte Carlo, os sinais a serem detectados nestes telescópios. A detecção indireta destas partículas é baseada em seu decaimento, que pode ocorrer no interior da Terra ou na atmosfera, produzindo um tau mais um gravitino. Propomos aqui como testar estes cenários, tanto com a detecção de taus em telescópios de neutrinos bem como em telescópios de uorescência atmosférica. Como os decaimentos estão ligados a uma janela restrita para a escala de quebra de supersimetria, entre ~105 GeV e 107 GeV, propomos não somente formas de detectar partículas supersimétricas, mas também, como testar a escala de quebra de supersimetria nos cenários considerados. Mostramos aqui que é possível observar sinais provocados por partículas supersimétricas nas duas situações experimentais avaliadas / The main goal of this research is to propose probes of aspects of the minimal supersymmetric standard model (MSSM), assuming gauge mediated supersymmetry breaking scenarios. More specifically, how to determine limits for the supersymmetry breaking energy scale and ways for indirect detection of supersymmetric particles. We propose tests to be carried out both by neutrino telescopes as well as by atmospheric uorescence. Under these scenarios, supersymmetric particles originate from ultrahigh energy cosmological neutrinos interacting with nucleons inside the Earth. Through Monte Carlo simulations, we determine the signatures will be left in these telescopes. The indirect detection of these particles is based in their decay, which can occur inside the Earth or at the atmosphere, producing a tau plus a gravitino. Here we propose how to probe these scenarios, either by detecting taus, generated in the decay, in neutrino telescopes or in atmospheric uorescence telescopes. As these decays are connected to a restrict window for the supersymmetry breaking energy scale, which would be between ~105 GeV and ~107 GeV, we are proposing not only ways of detecting supersymmetric particles as well as how to probe the supersymmetry breaking energy scale in the scenarios considered. We show here that it is possible to observe these signals in two setups evaluated.

Nesse trabalho discutimos alguns aspectos da teoria quântica de campos que nos levam a formulação do potencial efetivo em teorias supersimétricas. O enfoque é dado as técnicas para análise da quebra de supersimetria em 2 + 1-dimensões. São discutidas as condições sobre o potencial efetivo de teorias supersimetrias para que ocorra ou não quebra de supersimetria. O potencial efetivo do modelo Wess-Zumino em 2+1-dimensões é calculado até a aproximação de 2-laços no formalismo de componentes e supercampos e até essa ordem não foi encontrado quebra de supersimetria. / In this work we discuss some aspects of quantum theory of fields used for the formulation of the effective potential of supersymmetric theories. The main focus is given to the methods used to analyse supersimmetry breaking in 2 + 1-dimensions. We discuss the conditions on the effective potential of supersymmetric theories for the occurrence of supersymmetry breaking. The effective potential of Wess-Zumino model em 2 + 1-dimensions is calculated up to 2-loops approximation where supersymmetry breaking is not found to this order.

Esta dissertação de mestrado consiste de uma revisão sobre teorias quânticas de campos integráveis em duas dimensões, explorando tanto aspectos clássicos como aspectos quânticos dessas teorias munidas de infinitas cargas conservadas. Em nível clássico, consideramos uma teoria de supercampos escalares em duas dimensões com superpotencial arbitrário. Através da imposição da não produção de partículas a nível-árvore, restringimos a forma das interações adimissíveis, recuperando uma extensão supersimétrica do modelo de sinh-Gordon, o qual é provado ser integrável não somente através da obtenção do conjunto infinito de cargas conservadas, mas também através de S-matrix bootstrap. Ainda no nível clássico também mostramos uma profunda relação entre as Toda theories e os conformal minimal models, a qual se estende para nível quântico onde obtemos uma família de fluxos de renormalização entre os unitary conformal minimal models conhecida como staircase model. / This master thesis is an overview of integrability in two-dimensional field theories. We explore both classical and quantum aspects of these theories which are characterized by infinitely many conserved charges. At the classical level, we consider a theory of scalar superfields in two dimensions with arbitrary superpotential. By imposing no particle production in tree-level scattering, we constrain the form of the admissible interactions, recovering a supersymmetric extension of the sinh-Gordon model. This model is proven to be integrable not only by explicitly finding the infinite set of conserved charges but also via the S-matrix bootstrap. We also show a deep relation between Affine Toda theories and conformal minimal models, that extends to the quantum level, where we find a family of integrable renormalization group flows between the unitary conformal minimal models, known as the staircase model.

This thesis presents a search for R-parity violating supersymmetry at sqrt(s)=13 TeV, using approximately 13.3 fb-1 of data collected by ATLAS in 2015 and the first half of 2016. Events are required to contain at least four leptons (electrons or muons only) that are not the product of a Z boson decay, and this requirement results in a low Standard Model background and a high sensitivity to various physics models beyond the Standard Model. No significant deviations from the Standard Model are observed in data, and results are used to set upper limits on the event yields from processes beyond the Standard Model. In a simplified model of chargino production with indirect R-parity violating decays, limits are extended by approximately 400 GeV relative to the Run 1 search, excluding chargino masses below 1.1 TeV.