In this thesis, we study various aspects of physics in higher-dimensional manifolds involving a single extra dimension. After giving some historical perspective on the motivation for studying higher-dimensional theories of physics, we describe classical tests for a non-compact extra dimension utilizing test particles and pointlike gyroscopes. We then turn our attention to the problem of embedding any given <i>n</i>-dimensional spacetime within an (<i>n</i>+1)-dimensional manifold, paying special attention to how any structure from the extra dimension modifies the standard <i>n</i>-dimensional Einstein equations. Using results derived from this investigation and the formalism derived for test particles and gyroscopes, we systematically introduce three specific higher-dimensional models and classify their properties; including the Space-Time-Matter and two types of braneworld models. The remainder of the thesis concentrates on specific higher-dimensional cosmological models drawn from the above mentioned scenarios; including an analysis of the embedding of Friedmann-Lemaitre-Robertson-Walker submanifolds in 5-dimensional Minkowski and topological Schwarzschild spaces, and an investigation of the dynamics of a <i>d</i>-brane that takes the form of a thin shell encircling a (<i>d</i>+2)-dimensional topological black hole in anti-deSitter space. The latter is derived from a finite-dimensional action principle, which allows us to consider the canonical quantization of the model and the solutions of the resulting Wheeler-DeWitt equation.

Les extensions du Modèle Standard (MS) des particules sont maintenant dans une époque de développement très actif. Les motivations de l'introduction des dimensions supplémentaires sont basées d'une part sur la théorie des cordes qui nécessitent l'existence de nouvelles dimensions pour être cohérent. D'un autre côté ces théories peuvent potentiellement expliquer le problème de hiérarchie, le nombre de générations de fermions ou la stabilité du proton. La caractéristique commune de ces modèles est qu'ils fournissent une nouvelle particule neutre interagissant faiblement - un candidat idéal de la matière noire. Sa stabilité est préservée par la parité KK qui interdit les désintégrations du LKP en particules du MS. La géométrie de l'espace sous-jacent détermine le spectre de particules du modèle donc la masse et le spin du candidat DM, qui à leur tour jouent un rôle clé dans les études phénoménologiques. Nous présentons un modèle à deux dimensions supplémentaires universelles compactifiées sur le plan projectif réel. Cette géométrie particulière permet la définition des fermions chiraux et la stabilité de la matière noire neutre candidat dérive naturellement des propriétés intrinsèques de l'espace sans ajouter de nouvelles symétries ad hoc. Nous présentons le spectre de deux premiers niveaux KK à une boucle. Le spectre au sein de chaque niveau KK est fortement dégénéré ce qui fournie des signatures très intéressantes du modèle. Nous étudions la phénoménologie de la matière noire dans notre modèle pour limiter l'espace des paramètres en comparant nos résultats avec les données de WMAP et les expériences de détection directe. En utilisant les bornes obtenues, nous nous concentrons sur la phénoménologie LHC de notre modèle.

In this thesis, we study various aspects of physics in higher-dimensional manifolds involving a single extra dimension. After giving some historical perspective on the motivation for studying higher-dimensional theories of physics, we describe classical tests for a non-compact extra dimension utilizing test particles and pointlike gyroscopes. We then turn our attention to the problem of embedding any given <i>n</i>-dimensional spacetime within an (<i>n</i>+1)-dimensional manifold, paying special attention to how any structure from the extra dimension modifies the standard <i>n</i>-dimensional Einstein equations. Using results derived from this investigation and the formalism derived for test particles and gyroscopes, we systematically introduce three specific higher-dimensional models and classify their properties; including the Space-Time-Matter and two types of braneworld models. The remainder of the thesis concentrates on specific higher-dimensional cosmological models drawn from the above mentioned scenarios; including an analysis of the embedding of Friedmann-Lemaitre-Robertson-Walker submanifolds in 5-dimensional Minkowski and topological Schwarzschild spaces, and an investigation of the dynamics of a <i>d</i>-brane that takes the form of a thin shell encircling a (<i>d</i>+2)-dimensional topological black hole in anti-deSitter space. The latter is derived from a finite-dimensional action principle, which allows us to consider the canonical quantization of the model and the solutions of the resulting Wheeler-DeWitt equation.

The discovery reach for the ADD-type Large Extra Dimension (LED) scenario in the CMS Experiment at the LHC is presented by looking at the Monojet + Missing Energy signature, which arises as a result of a single graviton emission accompanied by a quark or gluon. Using Monte Carlo generated events, two LHC run scenarios were considered and compared namely a center-of-mass energy of 14 TeV and integrated luminosity of 100 pb&amp / #8722 / 1, and a center-of-mass energy of 10 TeV and integrated luminosity of 200 pb&amp / #8722 / 1. Details from extensive trigger studies are presented and offline selection techniques that optimize the signal excess over backgrounds are highlighted. As a result of this study, it is shown that the existing Tevatron limits on the ADD model can be improved through the implementation of this analysis in CMS Experiment with a factor of 3 using the the early LHC data.

With the long awaited start-up of the LHC, TeV scale physics is now in reach of the particles physicists to explore. There are many questions about the nature to be answered, and many more theories to be tested trying to answer them. The ADD model of extra dimensions is one such model, written to address the large mass hi- erarchy between the two fundamental energy scales in nature, the electroweak and the Planck scales. ADD model predicts stronger gravity at sub-millimeter distance scales, which would then lead to an interesting physical object to be produced at proton collusions at the LHC: Tiny quantum black holes. In this thesis we study the discovery potential of CMS for quantum black hole events for proton-proton collusions at sqrt(s) = 14 TeV. Our study details the trigger response of CMS, various criteria and methods for background rejection, affect of experimental uncertainties on measurements, for different model parameter values.

Made available in DSpace on 2015-05-14T12:14:12Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1302756 bytes, checksum: b8a7afd2c286c669deb3740b7865b4da (MD5) Previous issue date: 2014-02-14 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / We consider the problem of embedding the spacetime in pseudo-Riemannian manifolds and its connection with the Campbell-Magaard theorem. We give a brief history of the evolution of the idea of extra dimensions in physics as well as account of the development of the embedding theory as a branch of mathematics motivated by physics. We show that Kaluza-Klein is not an embedding theory of spacetime. Finally, we show the approach of immersion for the induced matter theory and applied, using the theorem of Campbell- Magaard, the other solutions to the space-time / Tratamos o problema da imersão do espaço-tempo em variedades pseudoriemannianas e sua relação com o teorema de Campbell-Magaard. Fazemos, à guisa de introdução e motivação, uma retrospectiva da ideia de dimensões extras na física e, paralelamente, apresentamos uma breve história da teoria de imersões na matemática. Mostramos que a teoria de Kaluza-Klein não pode ser vista como uma teoria de imersão do espaço-tempo. Por fim, mostramos a abordagem da imersão para a teoria de matéria induzida e aplicamos, usando o teorema de Campbell-Magaard, à outras soluções para o espaço-tempo

Orientador: Prof. Dr. Roldão da Rocha Jr. / Tese (doutorado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, 2017. / Neste trabalho foram investigadas algumas conseguências da física de buracos negros em teorias cujo domínio está além do domínio da relatividade geral, em especial em teorias efetivos com dimensões extras. A investigação foi em substancialmente conduzida baseando-se em três efeitos gravitacionais, a saber, a radiação Hawking, o regime de deflexão forte de lentes gravitacionais e a formação de buracos negros quânticos. Uma solução de modelo cosmológico imerso em uma brana espessa foi também investigada. Modelos e teorias efetivas fornecem meios para testar os limites de validade de teorias conhecidas e indicam o que deveríamos esperar além desses limites. Baseado nessa ideia foram usados alguns modelos efetivos para estudar efeitos não previstos pela relatividade geral, associados a cada um dos fenômenos mencionados. / This work is devoted to investigate some consequences of black holes physics beyond the domain of general relativity, mainly in effective extra dimensional models. The investigation is carried along three gravitational effects, namely the Hawking radiation, the strong deflection of gravitational lensing and the formation of quantum black holes. A cosmological thick brane solution is also investigated. Effective theories and models provide a prominent approach for testing the limits of known theories and show what would be expected beyond that. Based on such idea we have used effective models for finding deviations of general relativity associated to each of the mentioned phenomena.

Orientador: Patricio Anibal Letelier Sotomayor / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-18T10:00:29Z (GMT). No. of bitstreams: 1 AyalaMolina_JairoAlonso_D.pdf: 1244165 bytes, checksum: 30d706ffeeaefdce6a15f3a200327b18 (MD5) Previous issue date: 2011 / Resumo: Na atualidade, o estudo de objetos como lentes gravitacionais ou buracos negros em dimensões superiores, bem como a formulação de cosmologias de Kaluza-Klein, têm recebido cada vez maior atenção. Na tentativa de compreender melhor estes e outros temas semelhantes, o estudo das soluções exatas, assim como de algoritmos para sua geração, desempenha um papel muito importante. Neste trabalho, apresentamos as equações de Einstein no vácuo para uma classe especial de espaço-tempo D-dimensional que admite D - 2 campos vetoriais de Killing, assim como sua formulação matricial. Apresentamos também a extensão de dois algoritmos apresentados no artigo do professor Patricio Letelier, On the Inverse-Scattering Method Generation of Gravitational Waves and other New Solution-Generating Algorithms, Nuovo Cimento 97 B, 1 (1987), para depois aplicá-los na obtenção de soluções não diagonais. Igualmente estudamos a aplicação do método de Belinski-Zakharov para a obtenção de soluções solitônicas multidimensionais a partir de nossa métrica, que admite representação diagonal por blocos. Finalmente, aplicamos os algoritmos de geração apresentados às métricas de Kaluza-Klein para obter novas soluções das correspondentes teorias efetivas em quatro dimensões, assim como seus tensores de energia-momento. Exemplos de possíveis interpretações destes tensores na teoria clássica de campos (ClFT) e na mecânica de fluidos, são apresentados também / Abstract: Nowadays, the study of objects such as black holes or gravitational lenses in higher dimensions, as well as the formulation of Kaluza-Klein cosmologies, have received increasing attention. In an attempt to better understand these and other similar topics, the study of exact solutions and the algorithms for their generation, plays a very important role. In the present work we present the Einstein equations in vacuum for a special class of D-dimensional space-time which admits D - 2 Killing vector fields, as well as its matrix formulation. We also present the extension of two algorithms studied in the Patricio Letelier's paper On the Inverse-Scattering Method Generation of Gravitational Waves and other New Solution-Generating Algorithms, Nuovo Cimento 97 B, 1 (1987), to later apply them in obtaining non-diagonal solutions. We also studied the method of Belinski-Zakharov to obtain multi-dimensional soliton solutions from our metric, which admits representation diagonal by blocks. Finally, we apply the presented generation algorithms to Kaluza-Klein metrics to obtain new solutions of the corresponding effective theories in four dimensions, as well as its energy-momentum tensors. Examples of possible interpretations of these tensors in classical field theory (ClFT) and fluid mechanics, are also presented / Doutorado / Fisica-Matematica / Doutor em Matemática Aplicada

The Large Hadron Collider is the most powerful particle accelerator built to date. It is a proton-proton and heavy ion collider which in 2015 and 2016 operated at an unprecedented center of mass energy of √s = 13 TeV. The Tile Calorimeter is the ATLAS hadronic calorimeter covering the central region of the detector. It is designed to measure hadrons, jets, tau particles and missing energy. In order to accurately be able to properly reconstruct these physical objects a careful description of the electronic noise is required. This thesis presents the work done in updating, monitoring and studying the noise calibration constants used in the processing and identication of hadronic jet in the 2011 data. Moreover the results of the searches for compressed supersymmetric squark-neutralino and large extra dimensions models are also presented in this thesis. The present work uses an experimental signature with a high energy hadronic jet and large missing transverse energy later often referred to as monojet signature. The search for supersymmetry is carried out using an integrated luminosity of 3.2 fb-1 recorded by the ATLAS experiment in 2015. The search for large extra dimensions presented in this work uses the full 2015 + 2016 dataset of 36.1 fb-1. No signicant excess compared to the Standard Model prediction has been observed on the production of squark pairs with the subsequent decay of the squark in a quark and a neutrino. Exclusion limits are set on squark production as a function of the neutralino mass. Squark masses up to 608 GeV are excluded for a mass difference between the squark and the neutralino of 5 GeV. In the second search for the presence of large extra spatial dimensions in the Arkani-Hamed, Dimopoulos and Dvali model scenario a good agreement between data and Standard Model prediction is observed and exclusion limits are set on the effective Planck scale MD of 7.7 and 4.8 TeV for two and six hypothesized large extra dimensions respectively signicantly improving earlier results.

Il y a près de deux décennies, l'utilisation des modèles à dimensions supplémentaires pour résoudre le problème de hiérarchie des théories de jauge a reçu beaucoup d'attention, au travers d'élégantes propositions : des dimensions supplémentaires (DS) étendues et plates - le modèle d'Arkani-Hamed-Dimopoulos-Dvali, ou ADD - ainsi que des DS courbées - le modèle de Randall-Sundrum, ou RS. Dans cette thèse, nous discutons plusieurs modèles inspirés de tels scénarios extra-dimensionnels. Pour commencer, nous introduisons des éléments-clés de la théorie des champs en cinq dimensions, et nous montrons comment de tels scénarios apportent une réponse au problème de hiérarchie. Ensuite, dans une première partie, nous adoptons une approche ``de bas en haut'' et étudions plusieurs modèles contenant des fermions vectoriels (FV), prédits génériquement dans les modèles de DS. Nous montrons qu'en ajoutant des quarks vectoriels (QV) au Modèle Standard (MS), on peut expliquer en même temps les anomalies (i) d'asymétrie avant-arrière des quarks b, mesurée au Large Electron-Positron collider (LEP) et (ii) de section efficace de production de tth mesurée au Large Hadron Collider (LHC). En utilisant des rapports de taux de désintégration du Higgs, nous estimons aussi la sensibilité du LHC amélioré, le LHC à haute luminosité, à la présence de QV. Puis nous considérons un modèle à deux doublets de Higgs (2HDM), accompagné de leptons vectoriels (LV) pour expliquer le mystérieux excès à 750 GeV observé au LHC fin 2015. Dans un modèle similaire, nous expliquons également l'abondance de matière sombre (MS) dans l'Univers, notre candidat pour la MS étant un LV neutre, stabilisé par une symétrie Z2 appropriée. Par la suite, dans une deuxième partie de la thèse, nous nous penchons sur le scénario plus concret des DS courbées dotées d'une symétrie custodiale dans l'espace cinq-dimensionnel, qui protège le modèle vis-à-vis de larges corrections électrofaibles. Dans ce cadre, nous interprétons tout d'abord la bosse à deux bosons observée à 2 TeV au LHC comme une superposition de bosons de jauge de Kaluza-Klein, produits en canal s. Dans un deuxième temps, nous étudions la phénoménologie du secteur scalaire du modèle susdit, qui mêle le Higgs et le radion. En particulier, nous estimons la sensibilité du LHC et d'un futur collisionneur électron-positron (l'International Linear Collider - ILC) à l'existence d'un radion, via la production de celui-ci en association avec un boson Z. / Almost two decades ago, the paradigm of extra-dimensional models addressing the gauge hierarchy problem attracted much attention through the elegant proposals of large, flat extra dimensions (EDs) - the Arkani-Hamed-Dimopoulos-Dvali or ADD model - and warped EDs - the Randall-Sundrum or RS model. In this thesis, we discuss several models inspired from such extra-dimensional scenarios. We start by introducing some key elements of field theory in five space-time dimensions and showing how such scenarios provide a solution to the hierarchy problem. Afterwards, in a first part of this work, we adopt a bottom-up approach and study several models containing Vector-Like Fermions (VLFs), which are typically predicted in ED frameworks. We show how adding Vector-Like Quarks (VLQs) to the Standard Model (SM) allows one to simultaneously explain the anomalies in the (i) b-quark forward-backward asymmetry measured at the Large Electron-Positron collider (LEP) and (ii) the tth production cross section measured at the Large Hadron Collider (LHC). Using the so-called Higgs decay ratios, we also estimate the sensitivity of the upgraded LHC, the High-Luminosity LHC, to the presence of VLQs. Then, we consider a Two-Higgs Doublet Model (2HDM) extended with Vector-Like Leptons (VLLs) in order to fit the mysterious 750 GeV excess observed at LHC in late 2015. Within a similar model, we also explain the Dark Matter (DM) abundance in the Universe, our DM candidate being a neutral VLL, which is rendered stable by a suitable Z2 symmetry. Later on, in a second part of the thesis, we focus on the more concrete warped ED scenario endowed with a bulk custodial symmetry, which protects the model from large electroweak (EW) corrections. In this framework, we first interpret the 2 TeV diboson bump observed at LHC in 2015 as a superposition of Kaluza-Klein (KK) gauge bosons produced in the s-channel. Afterwards, we study the phenomenology of the mixed Higgs-radion scalar sector of the aforementioned model. In particular, we estimate the sensitivity of the LHC and of a future electron-positron collider (the International Linear Collider - ILC) to the existence of a radion via its production in association with a Z boson.