Neste trabalho consideramos extensões do Modelo Padrão contendo vértices quárticos anômalos parametrizados por operadores efetivos de dimensão oito. Estes alteram o comportamento das amplitudes do tipo VV VV , onde V pode ser o fóton, o bóson Z, o bóson W ou o Higgs. Para essa extensão ser consistente, ela tem que obedecer o teorema ótico. Entretanto, as amplitudes geradas por estes operadores efetivos tendem a aumentar conforme a energia do centro de massa aumenta. Estudaremos o comportamento dessas amplitudes e determinaremos se há violação de unitariedade. Para isso utilizamos também o formalismo da base de helicidade. / In this work we consider Standard Model extensions containing anomalous quartic vertex parametrized by effective dimension-eight operators. These modify the behaviour of the scat- tering amplitudes VV VV , where V can be photon, Z boson, W boson and Higgs. To this extension be consistent, it has to obey the optical theorem. However, the amplitudes generated by these effective operators tends to grow as the center of mass energy increase. We will study the behaviour of these amplitudes and we will determine if there is unitarity violation. For this it was also used the helicity base formalism.

This dissertation studies quantum decoherence in anharmonic oscillator systems to monitor and understand the way the systems evolve. It also explores methods to control the systems' evolution, and the effects of decoherence when applicable. We primarily do this by finding the time evolution of the systems using their Lie algebraic structures. We solve for a generalized Caldirola-Kanai Hamiltonian, and propose a general way to produce a desired evolution of the system. We apply the analysis to the effects of Dirac delta fluctuations in mass and frequency, both separately and simultaneously. We also numerically demonstrate control of the generalized Caldirola-Kanai system for the case of timed Gaussian fluctuations in the mass term. This is done in a way that can be applied to any system that is made up of a Lie algebra. We also explore the evolution of an optomechanical coupled mirror-laser system while maintaining a second order coupling. This system creates anharmonic effects that can produce cat states which can be used for quantum computing. We find that the decoherence in this system causes a rotational smearing effect in the Husimi function which, with the second order term added, causes rotational smearing after a squeezing effect. Finally, we also address the dynamic evolution and decoherence of an anharmonic oscillator with infinite coupling using the Born-Markov master equation. This is done by using the Lie algebraic structure of the Born-Markov master equation's superoperators when applying a strategic mean field approximation to maintain dynamic flexibility. The system is compared to the Born-Markov master equation for the harmonic oscillator, the regular anharmonic oscillator, and the dynamic double anharmonic oscillator. Throughout, Husimi plots are provided to visualize the dynamic decoherence of these systems.

<p>  The adiabatic hyperspherical representation has been applied to study few-body systems in both ultracold atomic physics and low energy nuclear physics, as it is a powerful tool that can be used to solve a variety of few-body Hamiltonian's across a wide range of disciplines in physics. In conjunction with the adiabatic hyperspherical representation, we utilized an explicitly correlated Gaussian basis expansion, different from the traditional hyperspherical harmonic expansion typically used with this method. In atomic physics, we applied this method to study the four-body (e^-e^-e⁺e⁺) coulombic system to study positronium-positronium collisions and to get a theoretical value of the 1<em>s</em>-2<em>s</em> scattering length. This work is published in [Phys. Rev. A 100, 012711 (2019)]. We also looked at few-body physics near the unitary limit, particularly near the <em>s</em>- and <em>p</em>-wave unitary limits where the dominant length scale is the scattering length and scattering volume. On this front, we studied universal physics in this regime for the equal-mass system. This work is published in [Phys. Rev. A 106, 023304 (2022)]. This method was further applied to few-body nuclear physics.</p> <p><br></p> <p>  We treat the three and four neutron scattering problems in the <em>N</em>-body continuum to understand and gain insight into possible few-neutron resonances, most notably whether a four-neutron resonance exists. There have been many conflicting theoretical results on whether a four-neutron resonance exists that stemmed from a recent experiment by Kisimori et al. in 2016 [Phys. Rev. Lett. 116, 052501 (2016)]. To provide further theoretical insight on this problem, we use the adiabatic hyperspherical toolkit to probe the scattering continuum and from the 4<em>n</em> density of states, conclude that there is no 4<em>n</em> resonance state. Our work on this is published in [Phys. Rev. Lett. 125, 052501 (2020)] and [Phys. Rev. C 103, 024004 (2021)]. There are other few-body systems in nuclear physics that are explored in the adiabatic hyperspherical representation, including systems like the triton, helium-3, and helium-4 nuclei to visualize and characterize the different reaction pathways the <em>N</em>-body system can fragment into at a given collision energy.</p>

As a part of our program to test the unitarity of the Cabibbo-Kobayashi-Maskawa matrix, the decay of the superallowed 0⁺ --> 0⁺ beta emitters ³⁸Ca and ⁴⁶V has been studied in this dissertation. For ³⁸Ca, the half-life, 443.88(36) ms, and superallowed branching ratio, 0.7738(41), have been measured. In our half-life experiment, pure sources of ³⁸Ca were produced and the decay positrons detected in a high-efficiency 4[pi] proportional gas counter. Since the beta⁺ decay of ³⁸Ca feeds ³⁸K^m, which is itself a superallowed beta⁺ emitter, the data were analyzed as a linked parent-daughter decay. Our result for the half-life of ³⁸Ca, with a precision of 0.08%, is a factor of five improvement on the best previous result. The branching-ratio of ³⁸Ca depended on beta-delayed gamma-ray intensities being measured with a high-purity germanium detector calibrated for absolute efficiency to 0.2% precision. This branching-ratio result represents our first step in bringing the ft value for the superallowed ³⁸Ca transition into the desired range of 0.1%. With our half-life and superallowed branching ratio results for ³⁸Ca, we obtain the Ft to be 3072(17) s, in good agreement with the conserved vector current expectation. The half-life of ⁴⁶V has been measured to be 422.66(6) ms, a factor of two more precise than the best previous measurement. Our present result determines the corresponding Ft value to be 3074.5(26) s, which is consistent with the average $\overline{\mathcal{F}t}$ value of 3072.08(79) s established from the 13 best-known superallowed transitions. This demonstrates that previously accepted half-lives of ⁴⁶V were correct in their contribution to a precision test of the conserved vector current hypothesis.

<p>This thesis deals with different aspects of string and /p/-brane theories. One of the motivations for string theory is to unify the forces in nature and produce a quantum theory of gravity. /p/-branes and related objects arise in string theory and are related to a non-perturbative definition of the theory. The results of this thesis might help in understanding string theory better. The first part of the thesis introduces and discusses relevant topics for the second part of the thesis which consists of five papers.</p><p>In the three first papers we develop and treat a perturbative approach to relativistic /p/-branes around stretched geometries. The unperturbed theory is described by a string- or particle-like theory. The theory is solved, within perturbation theory, by constructing successive canonical transformations which map the theory to the unperturbed one order by order. The result is used to define a quantum theory which requires for consistency d = 25 + p dimensions for the bosonic /p/-branes and d = 11 for the supermembrane. This is one of the first quantum results for extended objects beyond string theory and is a confirmation of the expectation of an eleven-dimensional quantum membrane.</p><p>The two last papers deal with a gauged WZNW-approach to strings moving on non-trivial space-times. The groups used in the formulation of these models are connected to Hermitian symmetric spaces of non-compact type. We have found that the GKO-construction does not yield a unitary spectrum. We will show that there exists, however, a different approach, the BRST approach, which gives unitarity under certain conditions. This is the first example of a difference between the GKO- and BRST construction. This is one of the first proofs of unitarity of a string theory in a non-trivial non-compact space-time. Furthermore, new critical string theories in dimensions less then 26 or 10 is found for the bosonic and supersymmetric string, respectively.</p>

This thesis deals with different aspects of string and /p/-brane theories. One of the motivations for string theory is to unify the forces in nature and produce a quantum theory of gravity. /p/-branes and related objects arise in string theory and are related to a non-perturbative definition of the theory. The results of this thesis might help in understanding string theory better. The first part of the thesis introduces and discusses relevant topics for the second part of the thesis which consists of five papers. In the three first papers we develop and treat a perturbative approach to relativistic /p/-branes around stretched geometries. The unperturbed theory is described by a string- or particle-like theory. The theory is solved, within perturbation theory, by constructing successive canonical transformations which map the theory to the unperturbed one order by order. The result is used to define a quantum theory which requires for consistency d = 25 + p dimensions for the bosonic /p/-branes and d = 11 for the supermembrane. This is one of the first quantum results for extended objects beyond string theory and is a confirmation of the expectation of an eleven-dimensional quantum membrane. The two last papers deal with a gauged WZNW-approach to strings moving on non-trivial space-times. The groups used in the formulation of these models are connected to Hermitian symmetric spaces of non-compact type. We have found that the GKO-construction does not yield a unitary spectrum. We will show that there exists, however, a different approach, the BRST approach, which gives unitarity under certain conditions. This is the first example of a difference between the GKO- and BRST construction. This is one of the first proofs of unitarity of a string theory in a non-trivial non-compact space-time. Furthermore, new critical string theories in dimensions less then 26 or 10 is found for the bosonic and supersymmetric string, respectively.

Nous étudions la sensibilité de Belle II avec 50 ab-1 de données sur l'angle βc du triangle d'unitarité, avec une mesure en fonction du temps de l'asymétrie de CP dans les désintégrations des mésons D0. Nous montrons que cette mesure est limitée statistiquement, avec une incertitude totale attendue de l'ordre de 3°. La mesure de βc nécessite la reconstruction de trajectoires de particules de très faible impulsion, impactée par le bruit de fond induit par SuperKEKB. Deux échelles PLUME vont être utilisées pour étudier ce bruit de fond. Ici, une étude des performances de PLUME est effectuée. Ainsi, la résolution spatiale avec des traces à 0° et 36° est mesurée, de 1,8 µm et 3,5µm respectivement. Par ailleurs nous proposons d'améliorer la mesure des faibles impulsions en utilisant la charge déposée par la particule dans le trajectomètre interne au silicium. L'estimateur permet d'améliorer par 2% la résolution sur l'impulsion pour les particules n'atteignant pas le trajectomètre interne. / We are studying the sensitivity of Belle II with 50 ab-1 data to the βc angle of the c-u unitarity triangle, with a time-dependent measurement of the CP asymmetry in the D0 decays. We show that such a measurement is still statistically limited, with a total expected incertitude of 3°.This measurement relies on the reconstruction of soft momenta, impacted by the SuperKEKB induced background.Two PLUME ladders will be used to study this background, therefore a study on the performances of PLUME was performed. The spatial resolution is of 1.8 µm and 3.5 µm for 0° and 36° tilted tracks respectivelly.We also propose to improve the estimation of soft momenta using the energy depositions of charged particles in the silicon layers of the inner tracker. Our estimator improves by approximately 2 % the resolution on momentum for particles which do not penetrate the central tracking system.

A ce jour la détermination de l’angle γ du Triangle d’Unitarité de la matrice de Cabibbo-Kabayashi-Maskawa est statistiquement limitée par la rareté des transitions b→ u. La précision obtenue en combinant les résultats des expériences BABAR et BELLE est proche de 10°. L’expérience LHCb auprès du LHC présente un fort potentiel d’amélioration pour ce paramètre de violation de CP, notamment via la désintégration Bd0 -> D0K*0, un des canaux clés de cette mesure. Les désintégrations D0 -> Kπ, D0 -> Kππ0 et D0 -> Kπππ sont étudiées dans cette thèse. L’utilisation de désintégrations faisant intervenir des π0 nécessite un bon étalonnage en énergie des calorimètres électromagnétiques. Une méthode d’étalonnage intercellules du ECAL basée sur le flux d’énergie, permet d’obtenir une inter-calibration de l’ordre de 1,5 %, l’échelle d’énergie absolue étant obtenue par des méthodes indépendantes non étudiées ici. La détermination du rapport d’embranchement de la désintégration Bs0 -> D0K*0, première étape du programme aboutissant à la mesure de la violation de CP dans le canal Bd0 -> D0K*0, est réalisée relativement au rapport d’embranchement de Bd0 -> D0ρ0. Le résultat final obtenu avec 36 pb−1 de données collectées par LHCb en 2010 reste dominé par l’erreur statistique :BR(Bs0 -> D0K*0)/BR(Bd0 -> D0ρ0) = 1, 48 ± 0, 34 (stat) ± 0, 15 (syst) ± 0, 12 (fd/fs). / The present status on the determination of the angle γ of the Cabibbo-Kabayashi-Maskawa Unitary Triangle is statistically limited by the rarity of b→ u transitions. The obtained precision combining results from the BABAR and BELLE experiments is close to 10°. The LHCb experiment at the LHC has a strong potential to reduce the uncertainty on this CP violation parameter, especially through the Bd0 -> D0K*0 decay, one of the key channels for this measurement. The D0 -> Kπ, D0 -> Kππ0 and D0 -> Kπππ decays are studied in this thesis. Decays involving π0 require an accurate energy calibration of electromagnetic calorimeters. An inter-calibration technique based on the energy flow allows to obtain the 1.5 % level, the absolute scale being obtained from independent methods studied elsewhere. The determination of the Bs0 -> D0K*0 decay branching ratio, first step towards a measurement of CP violation in the Bd0 -> D0K*0 channel, is performed relatively to the Bd0 -> D0ρ0 decay. The final result, obtained with 36 pb−1 of data collected by LHCb in 2010 is dominated by the statistical uncertainty:BR(Bs0 -> D0K*0)/BR(Bd0 -> D0ρ0) = 1, 48 ± 0, 34 (stat) ± 0, 15 (syst) ± 0, 12 (fd/fs).

Le mélange des quarks est décrit dans le modèle standard de la physique des particules par le mécanisme de Cabibbo-Kobayashi-Maskawa (CKM). À ce jour, l'angle gamma du triangle d'unitarité est un des paramètres de ce mécanisme mesuré avec la moins bonne précision. La mesure de cet angle sert de référence pour le modèle standard, puisqu'elle peut être réalisée sans contribution significative de nouvelle physique. La précision actuelle de la meilleure mesure directe de gamma est d'environ 10°, alors que les ajustements globaux des paramètres CKM, potentiellement sujets à une contribution de nouvelle physique, déterminent cet angle à quelques degrés près. Par conséquent, une mesure directe précise de cette quantité est nécessaire pour contraindre d'avantage le triangle d'unitarité de la matrice CKM et ainsi tester la cohérence de ce modèle. Cette thèse présente une mesure de gamma par une analyse de Dalitz du canal B0->DK*0, avec une désintégration du méson D en K0Spipi. Elle est basée sur les 3 fb⁻¹ de données enregistrés par LHCb pendant le Run I du LHC, à une énergie de collision proton-proton dans le centre de masse de 7 et 8 TeV. Ce canal est sensible à gamma par l'interférence entre les transitions b->u et b->c. La mesure des observables de violation de CP réalisée est x- = -0.09 ^{+0.13}_{-0.13} ± 0.09 ± 0.01 , x+ = -0.10 ^{+0.27}_{-0.26} ± 0.06 ± 0.01 , y- = 0.23 ^{+0.15}_{-0.16} ± 0.04 ± 0.01 , y+ = -0.74 ^{+0.23}_{-0.26} ± 0.07 ± 0.01 , où le première incertitude est statistique, la deuxième est l'incertitude systématique expérimentale et la troisième est l'incertitude systématique venant du modèle de Dalitz. Une interprétation fréquentiste de ces observables donne rB0 = 0.39 ± 0.13 , deltaB0 = ( 186^{+24}_{-23} )° , gamma = ( 77^{+23}_{-24})° , où rB0 est le module du rapport des amplitudes des désintégrations supprimées et favorisées et deltaB0 la différence de phase forte entre ces deux désintégrations. Par ailleurs, un travail sur l'optimisation de la reconstruction des photons pour la mise à niveau du détecteur LHCb est aussi présenté. Lors du Run III du LHC, la luminosité instantanée reçue par LHCb sera augmentée d'un facteur cinq, générant un plus grand recouvrement entre les cascades se développant dans le calorimètre électromagnétique. L'étude montre que l'effet de ce recouvrement entre les gerbes est limité en réduisant la taille des clusters utilisés pour la détection des photons, tout en évitant une diminution significative de l'énergie reconstruite. Avec des corrections adaptées, la nouvelle reconstruction développée améliore la résolution en masse de 7 à 12%, suivant la région du calorimètre considérée. / Quark mixing is described in the standard model of particle physics with the Cabibbo-Kobayashi-Maskawa mecanism. The angle gamma of the unitarity triangle is one of the parameters of this mecanism that is still determined with a large uncertainty. It can be measured without significant contribution of new physics, making it a standard model key measurement. The current precision of the best direct measurement of gamma is approximately 10°, whereas the global fits of the CKM parameters determine this angle up to a few degrees. Therefore precise measurement of this quantity is needed to further constrain the Unitarity Triangle of the CKM matrix, and check the consistency of the theory. This thesis reports a measurement of gamma with a Dalitz analysis of the B0->DK*0 channel where the D meson decays into K0Spipi, based on the 3 fb⁻¹ of proton-proton collision data collected by LHCb during the LHC Run I, at the centre-of-mass energy of 7 and 8 TeV. This channel is sensitive to gamma through the interference between the b->u and b->c transitions. The CP violation observables are measured to be x- = -0.09 ^{+0.13}_{-0.13} ± 0.09 ± 0.01 , x+ = -0.10 ^{+0.27}_{-0.26} ± 0.06 ± 0.01 , y- = 0.23 ^{+0.15}_{-0.16} ± 0.04 ± 0.01 , y+ = -0.74 ^{+0.23}_{-0.26} ± 0.07 ± 0.01 , where the first uncertainty is statistical, the second is the experimental systematic uncertainty and the third is the systematic uncertainty due to the Dalitz model. A frequentist interpretation of these observables leads to rB0 = 0.39±0.13 , deltaB0 = ( 186^{+24}_{-23} )°, gamma = ( 77^{+23}_{-24} )° , where rB0 is the magnitude of the ratio between the suppressed and favoured decays and deltaB0 the strong phase difference between these two decays. In addition, the work performed on the optimisation of the photon reconstruction for the upgraded LHCb detector is reported. During LHC Run III, the LHCb instantaneous luminosity will be increased by a factor five, implying a larger shower overlap in the electromagnetic calorimeter. The study shows that reducing the cluster size used in the photon reconstruction limits the effect of the overlap between the showers, without inducing a significant energy leakage. With some dedicated corrections, the new cluster reconstruction improves the Bs->Phi gamma mass resolution by 7 to 12%, depending on the calorimeter region.

Thesis (Ph.D.); Submitted to the University of California Berkeley, Berkeley, CA (US); 1 Jun 2004. / Published through the Information Bridge: DOE Scientific and Technical Information. "LBNL--56278" Burke, Jason Timothy. USDOE Director. Office of Science. Office of High Energy and Nuclear Physics. Division of Nuclear Physics (US) 06/01/2004. Report is also available in paper and microfiche from NTIS.