Este trabalho tem como objetivo o estudo da matéria nuclear em altas densidades, considerando-se as fases hadrônica e de quarks à temperatura nula, com a perspectiva de aplicar o formalismo desenvolvido no trabalho à análise das propriedades estáticas globais das estrelas de nêutrons. No trabalho, depois de apresentarmos aspectos importantes da evolução estelar e da teoria das estrelas de nêutrons, estudamos as propriedades e os modelos da matéria nuclear. No estudo da matéria nuclear para a fase hadrônica, consideramos os modelos relativísticos da teoria quântica de campos nucleares desenvolvida por J. D. Walecka, J. Zimanyi e S. A. Moszkowski, e por J. Boguta e A. R. Bodmer, também conhecidos, respectivamente, como modelos Sigma-ômega, ZM e Não-linear. Nesses modelos, a matéria nuclear é descrita a partir de uma formulação lagrangeana relativística de muitos corpos, com os campos efetivos dos bárions acoplados aos campos dos mésons, responsáveis pela interação nuclear. Nesse estudo, consideramos, inicialmente, a descrição de propriedades estáticas globais de sistemas nucleares de muitos corpos à temperatura nula, como, por exemplo, a massa efetiva do núcleon para matéria nuclear simétrica e matéria de nêutrons. O conhecimento da equação de estado da matéria de nêutrons torna possível a descrição de propriedades estáticas globais de uma estrela de nêutrons, como sua massa e seu raio, através das equações de Tolman, Oppenheimer e Volko . Os resultados obtidos neste trabalho estão em plena concordância com os resultados apresentados por outros autores. Posteriormente, incorporamos ao formalismo as equações de equilíbrio químico, a presen ça de graus de liberdade leptônicos de elétrons e múons, o octeto bariônico fundamental e a condição de neutralidade de carga. Nossa escolha para as constantes de acoplamento dos híperons está baseada na simetria SU(6) e nas regras de contagem para quarks. A consideração, no formalismo, do equilíbrio beta generalizado entre as partículas gera um sistema de onze equações acopladas que deve ser resolvido numericamente para se encontrar as diferentes populações fermiônicas. Por m, estudamos um modelo fenomenológico para a matéria nuclear com acoplamento derivativo ajustável, no qual a intensidade dos acoplamentos méson-núcleon é parametrizada por expressões matemáticas com coe cientes ajustáveis. Estudamos a in- uência desses acoplamentos na determinação das principais propriedades nucleares e nas propriedades estáticas globais das estrelas de nêutrons. Esse modelo é o que utilizamos, na parte nal do trabalho, para desenvolver nosso estudo da transição de fase entre matéria hadrônica e matéria de quarks livres, usando o critério de Gibbs. No estudo da matéria de quarks, consideramos o modelo de sacola desenvolvido no Massachusetts Institute of Technology (MIT) por A. Chodos, R. L. Ja e, K. Johnson, C. B. Thorn e V. F. Weisskopf. Como resultado principal, determinamos uma equação de estado geral para a matéria hadrônica e para a matéria de quarks e analisamos condições de equilíbrio de estrelas híbridas. Enfocamos, então, a in uência dos acoplamentos do modelo ajustável na determina ção da densidade bariônica em que ocorre a transição de fase. Analisamos, também, como a existência de um caroço de quarks na estrela repercute em suas propriedades estáticas globais (tais como raio e massa máxima) e na propriedade termodinâmica conhecida como índice adiabático. Os resultados obtidos nessa etapa do trabalho, embora inéditos, são coerentes com aqueles obtidos por outros autores. / The purpose of this work is the study of nuclear matter at high densities considering the hadronic and quark phases at zero temperature, with the perspective of applying the developed formalism to the analysis of global static properties of neutron stars. in this work, after presenting important aspects of stellar evolution and neutron star theory, we study the properties and models of nuclear matter. In the nuclear matter studies for the hadronic phase, we have considered the relativistic nuclear quantum eld theory developed by J. D. Walecka, J. Zimanyi and S. A. Moszkowski, and by J. Boguta and A. R. Bodmer, also known, respectively, as Sigma-omega, ZM and Non-linear models. In these models the nuclear matter is described by a relativistic and strong interaction lagrangian many-body formulation with baryon e ective elds coupled to scalar, vector and iso-vector mesons. In this study we consider initially the description of global static properties of manybody nuclear systems at zero temperature as, for instance, the nucleon e ective mass for symmetric nuclear and neutron matter. Knowledge of the neutron matter equation of state makes it possible the description of global static properties of a neutron star, such as its mass and radius, through the Tolman, Oppenheimer and Volko equations. The results we have obtained in this work are in agreement with the corresponding ones presented by other authors. We have further included into the formalism the chemical equilibrium equations, lepton degrees of freedom for electrons and muons, the fundamental octet of baryons and the charge neutrality condition. Our choice for the hyperonic coupling constants is based on the SU(6) symmetry and on the counting rules for quarks. The consideration of generalized beta equilibrium among the particles in our formalism generates a strongly coupled system of eleven equations to be numerically solved to nd the di erent fermionic populations. At last we study a phenomenological lagrangian model of nuclear matter with adjustable derivative coupling, which exhibits a parametrization, through mathematical expressions with adjustable coe cients, of the intensity of the meson-nucleon coupling. We study the in uence of these couplings in the determination of the main nuclear properties and global static properties of neutron stars. This model is the one we use to develop our study of the hadronic matter to quark matter phase transition in the last part of our work, using the Gibbs criteria. In the quark matter study, we have considered the bag model developed ih the Massachusetts Institute of Technology (MIT) by A. Chodos, R. L. Ja e, K. Johnson, C. B. Thorn and V. F. Weisskopf. As a main result, we have determined a general equation of state for hadronic and quark matter, and we have analyzed the equilibrium conditions for hybrid stars. We have then focused the in uence of the adjustable model couplings in the determination of the phase transition baryon density. We have also analyzed how the existence of the quarkgluon plasma core in the star repercutes in its global static properties (such as radius and maximum mass) and in the thermodynamical property known as the adiabatic index. The predictions of our work, even though based on new results, are in complete agreement with the corresponding ones obtained by other authors.

Orientador: Jayme Vaz Jr / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataglin / Made available in DSpace on 2018-08-05T13:26:17Z (GMT). No. of bitstreams: 1 RochaJunior_Roldaoda_D.pdf: 1670364 bytes, checksum: 3d62c507080592c925245e4858fab674 (MD5) Previous issue date: 2005 / Resumo: Investigamos generalizações das álgebras de Clifford (ACs) e suas vastas aplicações na Física. Classificamos o mais novo candidato à descrição da matéria escura como um campo espinorial bandeira, que pertence à classe 5 proposta por Lounesto, de acordo com os valores assumidos pelos seus covariantes bilineares. Decompomos a AC em partes a pares e ímpares relativas a uma dada a graduação automórfica interna, além de descrever suas diversas consequências na decomposição de operadores que agem sobre a álgebra exterior e sobre a AC. Além de escrever a equação de Dirac no contexto dessa decomposição, estendemos os resultados conhecidos sobre uma partícula-teste nas vizinhanças de um buraco negro de Schwarzschild para um buraco negro de Reissner-Nordstrom. Introduzimos as ACs estendidas, construídas sobre duas cópias (quiral e aquiral) de um espaço vetorial de dimensão finita munido de uma métrica de assinatura (p, q). Formulamos a AC sobre uma cópia quiral do contraespaço, mostrando propriedades surpreendentes, tais como: a indefinição do elemento de volume do contraespaço sob o produto regressivo, com a possibilidade de ele ser um escalar ou pseudoescalar, dependendo da dimensão do espaço vetorial; e o fato de que a co-cadeia de de Rham do operador codiferencial ser formada por uma sequência de subespaços homogêneos da álgebra exterior subsequentemente quirais e aquirais. Dessa maneira provamos que a álgebra exterior sobre o espaço e aquela construída sobre o contraespaço são apenas pseudo-duais ao introduzirmos quiralidade. A super álgebra de Poincaré é obtida a partir da introdução de algumas estruturas algébricas sobre o espaço euclidiano R3, a partir da utilização de spinors puros e do Princípio da Trialidade juntamente com sua generalização. Introduzimos os octonions no contexto das ACs e definimos unidades octoniônicas parametrizadas por elementos arbitrários, mas fixos, de uma AC sobre R0,7 e também produtos octoniônicos entre multivetores, além de generalizarmos as identidades de Moufang para esse formalismo. O Modelo Padrão das partículas elementares é rediscutido nesse contexto, além de obtermos uma Teoria de Calibre não-associativa em Cl0,7 , onde o campo espinorial é dado pela soma direta de um quark e um lépton. Finalmente introduzimos as isotopias, associativas e não-associativas, das ACs e em particular a simetria de sabor SU(6) dos quarks se apresenta como uma simetria exata dentro do contexto do levantamento isotópico da AC CL12. Bárions e mésons também são descritos nesse contexto / Abstract: We investigate Clifford algebras (ACs) generalizations and their wide applications in Physics. The candidate for the description of the dark matter is classified as a agpole spinor field, that is in the class 5 spinors proposed by Lounesto according to his spinor field classification by the values assumed by their bilinear covariants. The AC is split in a-even and a-odd components, related to a given inner automorphic a-grading, besides describing various consequences of this decomposition in the splitting of operators acting on the exterior and Clifford algebras. Besides writing the Dirac equation in the spacetime splitting context, we extend the well known results concerning a spinning test particle in a Schwarzschild black hole neighboorhood to a Reissner-Nordstrom black hole. We alsointroduce the extended ACs associated with two copies (chiral and achiral) of a finite-dimensional vector space endowed with a metric of signature (p, q). ACs are formulated on a chiral copy of the counterspace, where we show astounding and astonishing properties such as: the de Rham co-chain associated with the codifferential operator is constituted by a sequence of exterior algebra homogeneous subspaces subsequently chiral and achiral. Thus we prove thatthe exterior algebra on the space and the exterior algebra constructed on the counterspace are pseudoduals, if we introduce chirality. The Poincaré superalgebra is obtained from the introduction of some algebraic structures on the Euclidean space R3 , via the pure spinor formalism and the triality principle and its generalization. Octonions are introduced in thecontext of ACs and we define AC-parametrized octonionic units, besides generalizing Moufang identities in this context. The Standard Model of elementary particles is revisited in the octonionic context and we also obtain a gauge theory using the new octonionic products introduced, where a spinor field describes the direct sum of a quark and a lepton. Finally we introduce associative and non-associative isotopies of ACs. In particular we present the avor quark symmetry SU(6) as an exact symmetry in the Cl12 isotopic lifting context. Barions and mesons are also described via isotopic lifting of ACs / Doutorado / Fisica-Matematica / Doutor em Ciências

L'expérience ALICE au LHC va étudier dès 2010 le plasma de quarks et de gluons (QGP), état de la matière dans lequel les quarks et les gluons sont déconfinés. Le travail présenté ici a été effectué au sein de la collaboration ALICE, dans le but de préparer l'analyse des futures données expérimentales. Outre une approche théorique du QGP et de la symétrie chirale, nous y développons trois aspects expérimentaux : le sous-détecteur V0, l'étude des mésons de basses masses et la déconvolution. Tout d'abord, nous détaillons les mesures de luminosité et de multiplicité réalisables avec le V0. Ensuite, nous développons l'étude des dimuons dans le spectromètre à muons. Nous nous concentrons en particulier sur les mésons de basses masses : le rho, le omega et le phi. Enfin, nous présentons une façon d'améliorer les données du spectromètre : la déconvolution de Richardson-Lucy. / The ALICE experiment at LHC will study from 2010 the quark-gluon plasma (QGP), phase of the matter in which quarks and gluons are deconfined. The work presented here was done within the ALICE collaboration, for preparing the analysis of the incoming experimental data. Besides a theoretical approach of the QGP and of the chiral symmetry, we develop three experimental aspects: the V0 sub-detector, the study of the low mass mesons and the deconvolution. First, we detail the measures of luminosity and multiplicity that can be done with the V0. We then develop the study of the dimuons in the muon spectometer. We concentrate on the low masses mesons: the rho, the omega and the phi. Finally, we present a method for improving the spectrometer data: the Richardson-Lucy deconvolution.

Recherche la Higgs boson produit en associe avec a Z boson et desintegre a paire de b-quarks. Cet etude est realise avec l'experience ATLAS aupres du LHC. Cet recherche contient le travail de l'identification de b-jets au detecteur d'ATLAS, l'etude de triggers de l'energie manquant et introduire un nouveau trigger qui permet de gagner plus de significance de signaux. La recherche de Higgs boson est poursuit avec l'implementation de nouveau trigger et faire d'analyse statistique pour estimer la significance gagne en comparaison avec l'analyse qui utilise triggers nominaux. / Search for the Higgs poson produced in association with a Z boson and decaying to a pair of b-quarks. This study is implemented with the ATLAS experience at LHC. This research includes the work on identification of b-jets in ATLAS detector, study of triggers of missing transverse energy and introduce a new trigger which is expected to gain more signal significance. The search for the Higgs boson is followed with the implementation of the new trigger and do the statistical analysis to estimate the significance gain in comparison with the analysis which use the nominal triggers.

In dieser Arbeit wird die Messung des normalisierten differentiellen Wechselwirkungsquerschnitts von Top Quark Produktionen mit zusätzlichen Jets präsentiert. Es werden Proton-Proton Kollisionsdaten des ATLAS Experiments am Large Hadron Collider bei einer Schwerpunktsenergie von 13 TeV mit einer Luminosität von 3.2 fb-1 verwendet. Die Top Quark Ereignissen werden durch ein entgegengesetzt geladenes Elektron-Muon Paar und zwei b-tagged Jets selektiert. Der differentielle Wechselwirkungsquerschnitt wird als Funktion von Observablen, die sensitiv auf zusätzliche Jets sind, gemessen: der Jetmultiplizität, des transversalen Impulses der zusätzlichen Jets, der Summe der transversalen Impulse aller Objekte im Ereignis und räumlichen Korrelationen zwischen den zwei Jets mit dem größten Impulsen. Die gemessenen Daten werden auf Teilchen-Level korrigiert und mit verschiedenen Vorhersagen für detailierte Studien des Monte Carlo QCD Models verglichen. / In this thesis, the measurement of the normalised differential cross-sections of top quark pair production in association with jets using 3.2 fb-1 of proton-proton col- lision data at a centre-of-mass energy of 13 TeV by the ATLAS experiment at the LHC are presented. Jets are selected from top events which are defined by an opposite-charge electron-muon pair and two b-tagged jets in the final state. The cross-sections are measured as functions of several observables are sensitive to ad- ditional jets: jet multiplicities, transverse momentum of additional jets, transverse momentum sum of all objects in the event and spatial correlations of the two high- est momentum additional jets. The data are corrected to obtain particle-level fidu- cial cross-section. The resulting measurements are compared to several predictions allowing detailed studies of Monte Carlo QCD modelling.

No description available.

Quarks charm são criados em estágios iniciais da colisão de íons pesados em processos de espalhamento duro. Portanto eles são sondas ideais para o Plasma de Quarks e Glúons (QGP), que é um estado da matéria em que os partons contidos em hadrons, em condições de alta temperatura (150 MeV) ou densidade (cerca de cinco vezes a densidade da matéria ordinária), passam para um estado livre de quarks e glúons. A fragmentação de quarks charm pode produzir mésons D. Jatos contendo um méson D como um de seus constituentes podem ser identificados como originados de uma fragmentação de quark pesado. Jatos contendo mésons D são valiosas ferramentas para caracterizar interações de quarks charm com o plasma. Jatos de charm podem fornecer informações para o estudo da perda de energia dependente da massa pela medida da modificação da produção de jatos de charm em colisões de núcleos de chumbo com respeito a colisões entre prótons em função do momento transversal dos jatos. Além disso, uma visão mais profunda pode ser obtida com a medida da distribuição da fração de momento, que é de particular interesse para investigar a possível influência do meio na fragmentação de quarks charm em jatos. Mésons D são reconstruídos através da análise de massa invariante de seu canal de decaimento hadrônico, rejeitando uma grande quantidade de fundo combinatório com seleções topológicas e explorando o tempo de vida relativamente longo de mésons D e as capacidades de identificação de partículas do detector ALICE. Jatos são reconstruídos com o algoritmo anti-kT usando candidatos a mésons D e partículas carregadas. A medida do espectro de momento transversal de jatos contendo mésons D em colisões de núcleos de chumbo a energias de sNN = 5.02 TeV será apresentada. Esses resultados levam a novas possibilidades de sondagem das propriedades do QGP quando comparados com medidas de referência. Por fim, os métodos desenvolvidos podem ser empregados no estudo das funções de fragmentação de quarks charm em colisões de íons pesados. / Charm quarks are created in the early stages of heavy-ion collisions in hard-scattering processes. Therefore, they are ideal probes of the Quark-Gluon Plasma (QGP), which is a state of matter where partons contained in hadrons, at high temperatures (150 MeV) or density (about five times the density of ordinary matter), change to a deconfined state of quarks and gluons. The fragmentation of charm quarks can produce D mesons. Jets containing a D meson as one of their constituents can be identified as originating from heavy-quark fragmentation. These jets are a valuable tool to characterize the charm interaction with the QGP. Charmed jets can provide information to the study the mass-dependent energy loss by the measurement of the modification of the charm-jet yield in Pb-Pb collisions with respect to pp collisions as a function of the jet transverse momentum. Moreover, a further insight can be obtained with the measurement of the momentum-fraction distribution, which is of particular interest to investigate the possible influence of the medium in the charm-jet fragmentation. D mesons are reconstructed through an invariant mass analysis of their hadronic decay channels, rejecting the large combinatorial background with topological selections exploiting the relatively large lifetime of D mesons and the particle identification capabilities of the ALICE detector. Jets are reconstructed with the anti-kT algorithm using D-meson candidates and charged tracks. The measurement of the transverse momentum spectrum of jets containing D mesons in Pb-Pb collisions at sNN = 5.02 TeV will be presented. These results lead to new possibilities of probing the QGP properties when compared to baseline measurements. Furthermore, the methods developed can be employed in the study of charm-quark fragmentation functions in heavy-ion collisions.

In dieser Arbeit wird die Suche nach vektorartigen und angeregten Quarks mit einer elektrischen Ladung von Q = 1/3 mit dem ATLAS-Detektor vorgestellt. Die Existenz solcher Quarks wird von verschiedenen Modellen jenseits des Standardmodells vorhergesagt, die bestimmte Schwächen der Theorie beseitigen können. Es wird nach einzeln produzierten Quarks aus zwei verschiedenen Modellen gesucht, da für diesen Produktionsmodus höhere Wirkungsquerschnitte im untersuchten Massenbereich vorhergesagt sind als für die Paarproduktion. Die Suche beschränkt sich auf Zerfälle der Quarks in W-Bosonen und Top-Quarks, wobei letztere fast ausschließlich in W-Bosonen und Bottom-Quarks zerfallen. Verlangt man, dass eines der W-Bosonen leptonisch zerfällt, erhält man Endzustände mit einem Lepton (Elektron oder Myon in diesem Fall), mehreren Jets, von denen einer als von einem Bottom-Quark stammend identifiziert werden kann, und fehlender Energie in der Transversalebene, die durch das beim leptonischen Zerfall entstandene und nicht detektierbare Neutrino hervorgerufen wird. Die daraus berechnete invariante Masse des neuen Quarks wird zur Unterscheidung zwischen Signal und Untergrund verwendet. Die Suche wurde auf dem am LHC im Jahr 2012 aufgenommenen Datensatz von Proton-Proton-Kollisionen bei einer Schwerpunktsenergie von 8 TeV ausgeführt. Es wurde kein signifikanter Unterschied zum vorhergesagten Untergrund gemessen und deshalb Ausschlussgrenzen für Parameter der untersuchten Modelle berechnet. Da die vorgestellte Suche Gebrauch von der geboosteten Topologie der Signalereignisse im untersuchten Massenbereich macht, übertreffen die Ergebnisse bei Weitem die Ausschlussgrenzen für das angeregte Quarkmodell, die in der Vorgängersuche auf dem Datensatz von 2011 erhalten wurden und sind vergleichbar mit kürzlich auf dem Datensatz von 2012 mit dem CMS-Detektor gewonnenen Ergebnissen. Darüber hinaus ist es die erste Suche nach einzeln produzierten vektorartigen Quarks im untersuchten Modell. / A search for vector-like and excited down-type (Q = 1/3) quarks with the ATLAS detector is presented in this thesis. The existence of these quarks is predicted by various models beyond the Standard Model, motivated by some limitations of that theory. Quarks from two specific models are searched for in single production mode, as this is predicted to yield higher cross-sections than pair production in the investigated mass range. The search focuses on decays of the heavy quarks to a W boson and a top quark, the latter of which subsequently decays almost exclusively into another W boson and a bottom quark. Requiring one of the two W bosons to decay leptonically leads to final states containing exactly one lepton (electron or muon in this case), several jets, one of which can be identified as originating from a bottom quark, and some amount of missing energy in the transverse plane stemming from the neutrino of the leptonic W decay. The reconstructed mass of the heavy quark is used to discriminate between signal and background. This search was performed on 20.3 inverse femtobarns of proton-proton collision data collected at the Large Hadron Collider in the year 2012 with a centre-of-mass energy of 8 TeV. No significant excess of the data over the background could be observed and therefore exclusion limits were set on model parameters. The search presented here makes use of the boosted event topology that is prominent in the explored range of signal masses, allowing it to by far exceed the exclusion bounds obtained in the preceding search for the excited quark model on the 2011 data set, and producing results that are comparable to those from a recent search performed with the CMS detector on the 2012 data set. Additionally, it is the first search in the single production mode for that specific vector-like quark model.

Die Phänomenologie der pseudoskalaren Mesonen Ds und Bs sowie der Vektormesonen Ds* und Bs*, welche jeweils ein schweres und ein leichtes Quark enthalten, wurde in numerischen Simulationen von Gitter-QCD unter Vernachlässigung virtueller Fermionschleifen untersucht. Besonderer Wert wurde auf die Kontrolle und Minimierung aller systematischen Fehler innerhalb dieser Näherung gelegt. Die Zerfallskonstanten FDs und FDs* und die Massendifferenz zwischen dem Ds- und dem Ds*-Meson wurden aus der direkten Computersimulation von Gitter-QCD in großem physikalischen Volumen (L~1.5fm) bestimmt. Als Nebenprodukt konnte auch ein präziser Wert der renormierungsgruppen-invarianten Charm-Quarkmasse M_c ermittelt werden. Für die Monte-Carlo Simulationen von QCD auf dem Gitter, speziell im hier verwendeten Schrödinger Funktional, wurde eine plattformunabhängige Software entwickelt. Eine Reihe von Simulationen bei verschiedenen Gitterabständen erlaubte die Extrapolation der Ergebnisse zum Kontinuum. Da vergleichbare Simulationen für das Bs- und Bs*-Meson aufgrund der großen Masse des enthaltenen b-Quarks nicht möglich sind, wurde eine Interpolation in der Mesonmasse zu ihrem experimentell bekannten Punkt für die Zerfallskonstante und für den Wert der Massendifferenz durchgeführt. Interpoliert wurde dazu zwischen dem statischen Limes (unendliche Mesonmasse) und dem Bereich von Mesonmassen in der Größenordnung von m_Ds. Für insgesamt sechs Mesonmassen in diesem Bereich wurden die gewünschten Observablen deshalb aus Simulationen von Gitter-QCD in großem Volumen bestimmt und die Ergebnisse zum Kontinuum extrapoliert. Die Form der anschließenden Interpolation in der Mesonmasse zum statischen Limes wurde den Vorhersagen der Heavy Quark Effective Theory (HQET) entsprechend gewählt. Um diese auf QCD zu übertragen, wurden Konversionsfunktionen zwischen HQET und QCD hergeleitet und mit Hilfe von Ergebnissen aus der Störungstheorie numerisch bestimmt. Die Endergebnisse sind F_Ds = 226(7)MeV, F_Ds* = 239(18)MeV, F_Bs = 197(9)MeV, m_{Ds*}-m_{Ds} = 136(9)MeV, m_{Bs*}-m_{Bs} = 63(7)MeV und M_c = 1.60(3)GeV. Das Ergebnis für die Quarkmasse ist äquivalent zu mbar_c^MSbar(mbar_c) = 1.27(3)GeV. Aus der Analyse der so bestimmten Interpolationen ließ sich außerdem abschätzen, daß die führenden Korrekturen zum statischen Limes in der HQET relativ klein sind. Man erwartet deshalb, daß HQET im Bereich der B-Physik eine gute Näherung darstellt. / The phenomenology of the pseudo scalar mesons Ds and Bs and of the vector mesons Ds* and Bs*, each of which contain a heavy and a light quark, was investigated in simulations of quenched lattice QCD. The work was particularly focused on the minimisation of all systematic errors within this approximation. The decay constants FDs and FDs* and the difference in the masses between the pseudo scalar Ds-meson and the corresponding vector meson Ds* were determined from the direct computer simulation of lattice QCD in large physical volume (L~1.5fm). As an aside, the renormalisation group invariant charm quark mass M_c could be obtained from the simulation results. A platform independent software was developed for the Monte-Carlo simulations of lattice QCD within the Schrödinger Functional. A number of simulations at different lattice constants allowed the extrapolation of the results to the continuum. Since comparable simulations for the Bs- and the Bs*-meson are not feasible due to the large mass of the b-meson, an interpolation in the meson mass to its physical point was carried out for the decay constant and the mass splitting. The interpolation was carried out between the static limit and the range of meson masses of order m_Ds. The desired observables were therefore determined and extrapolated to the continuum for altogether six meson masses. The functional form of the subsequent interpolation in the meson mass to the static limit was guided by the prediction of the Heavy Quark Effective Theory (HQET). In order to apply it to the results obtained in QCD, a set of conversion functions between HQET and QCD were derived and evaluated numerically with input from results in perturbation theory. The final results are FDs = 226(7)MeV, FDs* = 239(18)MeV, FBs = 198(9)MeV, m_{Ds*}-m_{Ds} = 136(9)MeV, m_{Bs*}-m_{Bs} = 63(6)MeV and M_c = 1.60(3)GeV. The result for the renormalisation group invariant charm quark mass is equivalent to mbar_c^MSbar(mbar_c) = 1.27(3)GeV. The analysis of the interpolation furthermore allowed to estimate, that the lowest order corrections to the static limit in HQET are relatively small. One therefore can expect HQET to offer a good approximation in the range of B-physics.

L'étude de la structure du nucléon est actuellement l'un des principaux défis rencontrées en physique nucléaire. Le présent travail représente une contribution à l'étude de la structure du nucléon et consiste, en particulier, à étudier le rôle des quarks étranges dans le nucléon. Ce dernier peut être examiné en déterminant la distribution des quarks étranges dans le nucléon ainsi que la contribution des spins des quarks étranges au spin du nucléon ($\Delta s$). Ce travail présente une mesure de $\Delta s$ effectuée en utilisant des données de diffusion profondément inélastique de muons polarisés sur une cible de protons et de deutons polarisés, collectées par la collaboration COMPASS. Le résultat dépend fortement des fonctions de fragmentation des quarks en hadrons, qui définissent la probabilité qu'un quark d'une certaine saveur se fragmente en un hadron dans l'état final. Actuellement, les fonctions de fragmentation sont mal connues, en particulier, la fonction de fragmentation des quark étranges en kaons, qui joue un rôle essentiel dans la détermination de $ \Delta s$. En diffusion profondément inélastique, l'accès à ces fonctions est assuré par les multiplicités des hadrons qui, à leur tour, définissent le nombre moyen de hadrons produit par évènement de diffusion inélastique. Les multiplicités des pion et des kaons ont été extraites en fonction de différentes variables cinématiques, en utilisant les données de COMPASS. Une première extraction au leading order des fonctions de fragmentation des pions et des kaons est présentée. / Understanding the nucleon structure is currently one of the main challenges encountered in nuclear physics. The present work represents a contribution to the study of the nucleon structure and deals, in particular, with the study of the role of strange quarks in the nucleon. The latter can be investigated by determing the strange quark distribution in the nucleon as well as the contribution of the spins of strange quarks to the nucleon spin ($\Delta s$). This work first presents a measurement of $\Delta s$ performed via Deeply Inelastic Scattering of a muon beam off polarized proton and deuterium targets. The result is found to be strongly dependent on the quark fragmentation functions into hadrons (FFs), which define the probability that a quark of a given flavour fragments into a final state hadron. The FFs are poorly known, in particular, the FF of strange quark into kaons, which play an important role in the determination of $\Delta s$. In deep inelastic scattering process, the access to the FFs is provided by the hadron multiplicities which, in turn, define the average number of hadrons produced per DIS event. Pion and kaon multiplicities have been extracted versus different kinematic variables, using DIS data collected by deeply inelastic scattering of a $160$ GeV muons off a deuterium target. A first LO extraction of the fragmentation functions has then been performed using the measured pion and kaon multiplicities.