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Chiral Perturbation Theory (ChPT) is a tool for studying the strong interaction at low energies. The Perturbation theory is developed around the limit where the light quarks, u,d,s are approximated to be massless. In this approximation the isospin symmetry, one of the main features of the strong interaction, is fulfilled automatically. The study of the light quark masses and isospin violation can be done with the η'→πππ and η'→ηππ decay channels by analyzing the kinematic distribution using so-called Dalitz plots. A Dalitz plot analysis of the η'→ηπ+π- decay mode is conducted by the BESIII collaboration. The unbinned maximum likelihood method is used to fit the parameters that describe the Dalitz plot distribution. In this fit a polynomial expansion of the matrix element squared is used. However, in order to study light quark masses, it is better to use a parameterization which includes the description of the final-state interaction based on a dispersion relation. Hence, it is desirable to use a representation of the Dalitz plot as a two-dimensional histogram with acceptance corrected data as input to extract the substraction constants. Therefore, the goal of this thesis is to make a consistency check between the unbinned and binned representation of the data. In this thesis Monte Carlo data of η'→ηπ+π- decay channel is generated based on the BESIII. An unbinned maximum likelihood fit is performed to find the Dalitz plot parameters repeating the BESIII analysis method. The Monte Carlo data is then used for a binned maximum likelihood and a χ2 fit. Finally, the prepared binned experimental acceptance corrected data from BESIII is used to fit the Dalitz plot parameters using the same statistical methods. The results based on the binned maximum likelihood and the χ2 methods are consistent with the fit using the unbinned maximum likelihood method applied in the original BESIII publication.

AUCUN

This thesis reports the first indications of the Λ(1520) and ∆(1232)++ decay modes in the Ξc0 → pK−K−π+ decay. The obtained fractions relative the inclusive Ξc0 → pK−K−π+ decay are (6.4±0.6)% and (32.6±1.2)% for the decays through the Λ(1520) and ∆(1232)++ resonances respectively. The estimates were done on a sample of 6449±226 events of the Ξc0 baryon originating in the pure hadron Ξb− → Ξc0π− decay. The fractions presented in this thesis should be seen as an early indication rather than final estimates as more in-depth studies need to be done.

[pt] Na última década, desde o início do funcionamento do LHC, o Modelo Padrão de física de partículas vem sendo posto à prova com precisão sem precedentes, com enorme êxito. Um de seus experimentos é o LHCb, dedicado à física dos hádrons contendo os quarks beauty e charm. Um dos importantes temas de pesquisa do LHCb é o estudo de efeitos de assimetria partícula-antipartícula em processos de decaimento, devido à chamada violação de Carga-Paridade (CP). A violação de CP é prevista pelo Modelo Padrão e, em decaimentos envolvendo o quark charm, pode ocorrer em certos processos chamados de suprimidos por Cabibbo. No entanto, este efeito é muito pequeno, da ordem de 0.1 porcento. Esta pequenez faz com que o ambiente de decaimentos charmosos seja atraente para busca por física além do Modelo Padrão. O objetivo deste trabalho é o estudo de sensibilidade para violação de CP nos canais D+ -> K- K+π+ e D+ -> π- π+π+: no run II do LHCb. Através de uma representação do espaço de fase desses decaimentos, chamado de Dalitz Plot, e a utilização do método de Mirandizing, que se baseia em procurar significâncias locais na diferença da distribuição de eventos no Dalitz Plot de partícula e antipartícula, pode-se buscar por assimetrias de carga que indicariam efeitos de violação de CP nestes decaimentos. Baseando-se nas estatísticas dos dados tomados entre 2016 e 2018 no LHCb, foram desenvolvidos pseudoexperimentos, via método de Monte Carlo, visando reproduzir a dinâmica dos dados reais, e inserindo pequenos efeitos de violação de CP. Verificamos que há sensibilidade para a violação de CP com efeitos da ordem de 10-3 em algumas situações, que condiz com as expectativas do Modelo Padrão, o que indica a possibilidade de observação de violação de CP nos dados reais do run II. / [en] In the last decade, since the beginning of the operation of the LHC, the Standard Model of particle physics has been tested with unprecedented precision, with enormous success. One of its experiment is LHCb, dedicated to the physics of hadrons containing the beauty and charm quarks. One of the important research topics of the LHCb is the study of the effects of particle-antiparticle asymmetry in decay processes, due to the so-called charge-parity violation (CP). CP violation is predicted by the Standard Model and, in decays involving the charm quark, it can occur in certain processes called Cabibbo-suppressed. However, this effect is very small, of the order of 0.1 percent. This smallness makes the environment of charm decays attractive to search for physics beyond the Standard Model. The aim of this work is the study of sensitivity for CP violation in the channels D+ -> K-K+π+ and D+ -> π-π+π+ in run II of the LHCb. Through the phase space of these decays, called Dalitz Plot, and the use of the Mirandizing method, which is based on looking for local significance in the difference in the distribution of events for particle and antiparticle Dalitz Plots, one can seek for local asymmetries that would indicate effects of CP violation in these decays. Based on the data statistics taken between 2016 and 2018 at the LHCb, pseudo experiments were performed, using the Monte Carlo method, aiming to reproduce the dynamics of real data, and inserting small effects of CP violation. We found that there is sensitivity for CP violation with effects of the order of 10−3 in some situations, which is the expected level predicted by the Standard Model, indicating a possibility for observing CP violation in the real data from run II.

Le travail présenté dans cette thèse concerne l’étude des désintégrations en trois corps sans quark charmé des mésons beaux neutres, dont l’état final contient un K0S. Ce travail de recherche s’est réalisé dans le cadre de l’expérience LHCb au LHC, en analysant un échantillon d’événements de 3 fb−1 collecté dans le Run I du LHC. L’analyse d’amplitude de la désintégration B0→K0Sπ+π− représente la partie principale de ce travail de thèse. La mesure des amplitudes est effectuée au moyen d’une étude du plan de Dalitz de la désintégration intégrée dans le temps sans étiquetage de la saveur de la particule belle. Nous avons mesuré les rapports d’embranchements relatives des désintégrations quasi-deux-corps à partir de cette analyse de Dalitz. Egalement, nous avons mesuré l’asymétrie CP directe des désintégrations quasi-deux-corps B0→K*+(892)π−, B0→K0*+(1430)π−, B0→K2*+(1430)π− et B0→f0(980)K0S. Nous avons observé pour la première fois l’asymétrie CP directe dans la désintégration B0→K*+(892)π− avec une signifiance supérieure à cinq déviations standard. Cette mesure est en accord avec la moyenne mondiale, avec une précision améliorée. / Studies of charmless three-body decays of the neutral B mesons with a K0S in the final state are presented in this thesis. The analyses are performed with the full statistics recorded by the LHCb spectrometer during the Run I of the LHC. The amplitude analysis of the decay B0→K0Sπ+π− represents the main part of this thesis analysis. A time-integrated untagged Dalitz-Plot analysis of the decay is performed. The fit fractions of the quasi-two-body decays are obtained. Likewise, the direct CP asymmetries of the quasi-two-body decays B0→K*+(892)π−, B0→K0*+(1430)π−, B0→K2*+(1430)π− and B0→f0(980)K0S are obtained. The largest sensitivity is obtained for ACP (B0→K*+(892)π−). This measurement is the first observation of the CP asymmetry with a significance larger then five standard deviations. The measurement is in agreement with the world average, with an improved precision.

Ce mémoire présente l’application de la méthode de décomposition en termes de diagrammes aux désintégrations de mésons B vers trois mésons de type pseudos- calaire ne comportant pas de quarks charmés. La décomposition diagrammatique des désintégrations de types B → Kππ, B → KKK ̄, B → KK ̄π et B → πππ est effectuée de façon systématique. Il est démontré que lorsque l’on néglige les dia- grammes d’échanges et d’annihilations, dont les contributions sont estimées être petites, de nouvelles relations apparaissent entre les amplitudes. Ces relations sont de nouveaux tests du modèle standard qui ne peuvent être obtenus que par la méthode diagrammatique. Lorsque les données nécessaires sont disponibles, nous vérifions ces relations et obtenons un bon accord avec les données expérimentales. Nous démontrons également qu’il est possible d’utiliser le secteur B → Kππ pour mesurer la phase faible γ avec une incertitude théorique que nous estimons être de l’ordre de 5%. Les autres secteurs de désintégrations ne permettent d’extraire des phases faibles que si l’on invoque des approximations de précisions inconnues. / This Master’s thesis presents the application of the method of decomposition in terms of diagrams to the charmless decays of B mesons to three pseudoscalar particles. We systematically apply the diagrammatic method to the decays B → Kππ, B → KKK ̄, B → KK ̄π and B → πππ. It is shown that when we neglect exchange and annihilation diagrams, whose contributions have been estimated to be small, new relations appear between the decay amplitudes. These relations constitute new tests of the standard model that can only be obtained through the diagrammatic method. When the necessary data is available, we verify these relations and obtain a good agreement with the experimental results. We also show that it is possible use observables in the B → Kππ sector to measure the weak phase γ with a theoretical uncertainty of the order of 5%. Other decay sectors can only allow the extraction of weak phases through the use of approximations of unknown precision.

Ce mémoire présente l’application de la méthode de décomposition en termes de diagrammes aux désintégrations de mésons B vers trois mésons de type pseudos- calaire ne comportant pas de quarks charmés. La décomposition diagrammatique des désintégrations de types B → Kππ, B → KKK ̄, B → KK ̄π et B → πππ est effectuée de façon systématique. Il est démontré que lorsque l’on néglige les dia- grammes d’échanges et d’annihilations, dont les contributions sont estimées être petites, de nouvelles relations apparaissent entre les amplitudes. Ces relations sont de nouveaux tests du modèle standard qui ne peuvent être obtenus que par la méthode diagrammatique. Lorsque les données nécessaires sont disponibles, nous vérifions ces relations et obtenons un bon accord avec les données expérimentales. Nous démontrons également qu’il est possible d’utiliser le secteur B → Kππ pour mesurer la phase faible γ avec une incertitude théorique que nous estimons être de l’ordre de 5%. Les autres secteurs de désintégrations ne permettent d’extraire des phases faibles que si l’on invoque des approximations de précisions inconnues. / This Master’s thesis presents the application of the method of decomposition in terms of diagrams to the charmless decays of B mesons to three pseudoscalar particles. We systematically apply the diagrammatic method to the decays B → Kππ, B → KKK ̄, B → KK ̄π and B → πππ. It is shown that when we neglect exchange and annihilation diagrams, whose contributions have been estimated to be small, new relations appear between the decay amplitudes. These relations constitute new tests of the standard model that can only be obtained through the diagrammatic method. When the necessary data is available, we verify these relations and obtain a good agreement with the experimental results. We also show that it is possible use observables in the B → Kππ sector to measure the weak phase γ with a theoretical uncertainty of the order of 5%. Other decay sectors can only allow the extraction of weak phases through the use of approximations of unknown precision.