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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
181

Seltsame Hadronen und Antiprotonen als Proben heißer und dichter Kernmaterie in relativistischen Schwerionenkollisionen

Schade, Henry 24 January 2011 (has links) (PDF)
In relativistischen Schwerionenkollisionen spielen seltsame Teilchen bei der Untersuchung heißer und dichter Materie eine wichtige Rolle. Dazu wird die Produktion von Hadronen mit Strangeness-Inhalt mit Hilfe eines Transportmodells vom Boltzmann-Ühling-Uhlenbeck (BUU)-Typ numerisch behandelt. Aktuelle Messungen der HADES-Kollaboration bezüglich K+- - und phi-Spektren bilden dabei den entsprechenden experimentellen Rahmen. Darüber hinaus wird das doppelt-seltsame Hyperon Xi- unterhalb der freien NN-Produktionsschwelle analysiert. Hadronische Multiplizitäten, Transversalimpuls- und Rapiditätsspektren werden mit neuen experimentellen Ergebnissen verglichen. Weiterhin werden Massenverschiebungen im Medium, die nukleare Zustandsgleichung sowie das mittlere Feld der Nukleonen berücksichtigt. Neben der Untersuchung von Kern-Kern-Stößen bietet sich in Proton-Kern-Kollisionen ein Vergleich mit jüngsten ANKE-Daten im Hinblick auf die phi-Ausbeute an. Mit Hilfe des BUU-Transportcodes wurden Tranzparenzverhältnisse ermittelt und die Absorption von phi-Mesonen untersucht. Dabei sind sekundäre phi-Produktionskanäle, Isospin-Asymmetrie und Detektorakzeptanzen von Bedeutung und werden systematisch für verschiedene Systemgrößen analysiert. Die impulsintegrierten Boltzmann-Gleichungen dienen im Rahmen einer kinetischen Nichtgleichgewichtsdynamik der Beschreibung hochkomprimierter nuklearer Materie auf hadronischem Niveau, wie sie sowohl beim Urknall als auch bei ultra-relativistischen Schwerionenkollisionen auftritt. Diese Theorie wird am Beispiel von Antiprotonen untersucht und unter Berücksichtigung verschiedener Expansionsmodelle numerisch ausgewertet. Dabei wird die Evolution der Proton- und Antiprotondichten bis zum Ausfrieren für SPS- und RHIC-Energien mittels eines hadro-chemischen Resonanzgasmodells als möglicher Lösungsansatz des "Antiproton-Puzzles" analysiert. Diskutiert wird darüber hinaus das Verhalten baryonischer Materie und Antimaterie im frühen Universum und der adiabatische Pfad kosmischer Materie im QCD-Phasendiagramm. / Strange particles play an important role as probes of relativistic heavy-ion collisions where hot and dense matter is studied. The focus of this thesis is on the production of strange particles within a transport model of Boltzmann-Ühling-Uhlenbeck (BUU) type. Current data of the HADES Collaboration concerning K+- and phi spectra provide the appropriate experimental framework. Moreover, the double-strange hyperon Xi- is analyzed below the free NN production threshold. Hadron multiplicities, transverse-momentum and rapidity spectra are compared with recent experimental data. Further important issues are in-medium mass shifts, the nuclear equation of state as well as the mean field of nucleons. Besides the study of AA collisions a comparison with recent ANKE data regarding the phi yield in pA collisions is done. Transparency ratios are determined and primarily investigated for absorption of phi mesons by means of the BUU transport code. Thereby, secondary phi production channels, isospin asymmetry and detector acceptance are important issues. A systematic analysis is presented for different system sizes. The momentum integrated Boltzmann equations describe dense nuclear matter on a hadronic level appearing in the Big Bang as well as in little bangs, in the context of kinetic off-equilibrium dynamics. This theory is applied to antiprotons and numerically calculated under consideration of various expansion models. Here, the evolution of proton- and antiproton densities till freeze-out is analyzed for ultra-relativistic heavy-ion collisions within a hadrochemic resonance gas model acting as a possible ansatz for solving the "antiproton puzzle". Furthermore, baryonic matter and antimatter is investigated in the early universe and the adiabatic path of cosmic matter is sketched in the QCD phase diagram.
182

Estados Exóticos do Charmonium / Charmonium Exotic States

Raphael Moreira de Albuquerque 14 December 2012 (has links)
Nesta tese de doutorado é utilizado o método das Regras de Soma da QCD para estudar a natureza dos novos estados ressonantes do charmonium: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) e Y(4660). Há fortes evidências de que estes estados possuam estruturas hadrônicas não convencionais (ou exóticas) uma vez que as suas respectivas massas e canais de decaimento observados experimentalmente são inconsistentes com o que é esperado para o estado ressonante convencional do charmonium, J/psi. O mesmo fenômeno ocorre no setor do bottomonium, onde os novos estados Yb(10890) e Yb(11020) observados recentemente poderiam indicar a existência de novos estados exóticos do bottomonium. Neste sentido, verifica-se que o estado Y(4140) poderia ser descrito ou por uma estrutura molecular Ds*Ds* (0++) ou mesmo uma mistura entre estados moleculares Ds*Ds* (0++) e D*D* (0++). Já os estados Y(3930) e o X(4350) não podem ser descritos por correntes moleculares D*D* (0++) e Ds*Ds* (1-+), respectivamente. Verifica-se também que a estrutura molecular Psi(2S) f_0(980) (1--) descreve muito bem a massa do estado Y(4660). Uma extensão ao setor do bottomonium indica que o estado molecular Y(2S) f_0(980) é um bom candidato para descrever a estrutura do estado Yb(10890). É feita também uma estimativa para os possíveis estados moleculares formados por mésons D(*) e B(*), que poderão ser observados em futuros experimentos realizados pelo LHC. Um amplo estudo, utilizando o formalismo das Regras de Soma e também da Dupla Razão das Regras de Soma, é feito para calcular as massas dos bárions pesados na QCD. As estimativas para as massas dos bárions com um (Qqq) e com dois (QQq) quarks pesados são um excelente teste para a capacidade do método das regras de soma em prever a massa dos bárions que ainda não foram observados. / In this thesis, the QCD sum rules approach was used to study the nature of the new charmonium resonances: Y(3930), Y(4140), X(4350), Y(4260), Y(4360) and Y(4660). There is a strong evidence that these states have non-conventional (or exotic) hadronic structures since their respective masses and decay channels observed experimentally are inconsistent with what expected for a conventional charmonium state, J/psi. The same phenomenon occurs on the bottomonium sector, where new states like Yb(10890) and Yb(11020) observed recently could indicate the existence of new bottomonium exotic states. In this way, one verifies that the state Y(4140) could be described as a Ds*Ds* (0++) molecular state or even as a mixture of Ds*Ds* (0++) and D*D* (0++) molecular states. For the Y(3930) and X(4350) states, both cannot be described as a D*D* (0++) and Ds*Ds* (1-+), respectively. From a sum rule point of view, the Y(4660) state could be described as a Psi(2s) f_0(980) (1--) molecular state. The extension to the bottomonium sector is done in a straightforward way to demonstrate that the Y(2S) f_0(980) molecular state is a good candidate for describing the structure of the Yb(10890) state. In the following, one estimates the mass of the exotic Bc-like molecular states using QCD Sum Rules - these exotic states would correspond to bound states of D(*) and B(*) mesons. All of these mass predictions could (or not) be checked in a near future experiments at LHC. A large study using the Double Ratio of Sum Rules approach has been evaluated for the study of the heavy baryon masses in QCD. The obtained results for the unobserved heavy baryons, with one (Qqq) and two (QQq) heavy quarks will be an excellent test for the capability of the sum rule approach in predicting their masses.
183

Model independent searches for New Physics using Machine Learning at the ATLAS experiment / Recherche de Nouvelle Physique indépendante d'un modèle en utilisant l’apprentissage automatique sur l’experience ATLAS

Jimenez, Fabricio 16 September 2019 (has links)
Nous abordons le problème de la recherche indépendante du modèle pour la Nouvelle Physique (NP), au Grand Collisionneur de Hadrons (LHC) en utilisant le détecteur ATLAS. Une attention particulière est accordée au développement et à la mise à l'essai de nouvelles techniques d'apprentissage automatique à cette fin. Le présent ouvrage présente trois résultats principaux. Tout d'abord, nous avons mis en place un système de surveillance automatique des signatures génériques au sein de TADA, un outil logiciel d'ATLAS. Nous avons exploré plus de 30 signatures au cours de la période de collecte des données de 2017 et aucune anomalie particulière n'a été observée par rapport aux simulations des processus du modèle standard. Deuxièmement, nous proposons une méthode collective de détection des anomalies pour les recherches de NP indépendantes du modèle au LHC. Nous proposons l'approche paramétrique qui utilise un algorithme d'apprentissage semi-supervisé. Cette approche utilise une probabilité pénalisée et est capable d'effectuer simultanément une sélection appropriée des variables et de détecter un comportement anormal collectif possible dans les données par rapport à un échantillon de fond donné. Troisièmement, nous présentons des études préliminaires sur la modélisation du bruit de fond et la détection de signaux génériques dans des spectres de masse invariants à l'aide de processus gaussiens (GPs) sans information préalable moyenne. Deux méthodes ont été testées dans deux ensembles de données : une procédure en deux étapes dans un ensemble de données tiré des simulations du modèle standard utilisé pour ATLAS General Search, dans le canal contenant deux jets à l'état final, et une procédure en trois étapes dans un ensemble de données simulées pour le signal (Z′) et le fond (modèle standard) dans la recherche de résonances dans le cas du spectre de masse invariant de paire supérieure. Notre étude est une première étape vers une méthode qui utilise les GPs comme outil de modélisation qui peut être appliqué à plusieurs signatures dans une configuration plus indépendante du modèle. / We address the problem of model-independent searches for New Physics (NP), at the Large Hadron Collider (LHC) using the ATLAS detector. Particular attention is paid to the development and testing of novel Machine Learning techniques for that purpose. The present work presents three main results. Firstly, we put in place a system for automatic generic signature monitoring within TADA, a software tool from ATLAS. We explored over 30 signatures in the data taking period of 2017 and no particular discrepancy was observed with respect to the Standard Model processes simulations. Secondly, we propose a collective anomaly detection method for model-independent searches for NP at the LHC. We propose the parametric approach that uses a semi-supervised learning algorithm. This approach uses penalized likelihood and is able to simultaneously perform appropriate variable selection and detect possible collective anomalous behavior in data with respect to a given background sample. Thirdly, we present preliminary studies on modeling background and detecting generic signals in invariant mass spectra using Gaussian processes (GPs) with no mean prior information. Two methods were tested in two datasets: a two-step procedure in a dataset taken from Standard Model simulations used for ATLAS General Search, in the channel containing two jets in the final state, and a three-step procedure from a simulated dataset for signal (Z′) and background (Standard Model) in the search for resonances in the top pair invariant mass spectrum case. Our study is a first step towards a method that takes advantage of GPs as a modeling tool that can be applied to several signatures in a more model independent setup.
184

Studium vzácných rozpadů B-mesonů v experimentu ATLAS / Study of the rare B-meson decays with the ATLAS experiment

Biroš, Marek January 2020 (has links)
Title: Study of the rare B-meson decays with the ATLAS experiment Author: Marek Biroš Institute: Institute of Particle and Nuclear Physics Supervisor: RNDr. Pavel Řezníček, Ph.D., Institute of Particle and Nuclear Physics Abstract: The rare B0 d → K∗0 (892) μμ decay is one of the B-physics channels sensitive to Beyond Standard Model effects. The potential deviation from Standard Model predictions could be observed in the angular distribution of this decay. The work compiles several sub-tasks at the initial stage of this complex analysis: decay angles fit validation and signal event preselection. The fit functions used in the analysis are verified on generated toy Monte Carlo data. Ranges of parameters, for which are these functions positive, are established and within this parametric space, the testing of possible intrinsic fit biases is evaluated. A dependence of the fit bias with respect to the collected number of events (expected in Run 2 as well as at HL-LHC) and to the different signal-to- background ratio is studied. The second part of the thesis deals with processing of raw reconstructed data from the detector into n-tuples resulting in a more compact dataset that would be used in the final analysis. Within the process, baseline cuts are applied in order to minimize size of final datasets by reducing...
185

Seltsame Hadronen und Antiprotonen als Proben heißer und dichter Kernmaterie in relativistischen Schwerionenkollisionen

Schade, Henry 17 December 2010 (has links)
In relativistischen Schwerionenkollisionen spielen seltsame Teilchen bei der Untersuchung heißer und dichter Materie eine wichtige Rolle. Dazu wird die Produktion von Hadronen mit Strangeness-Inhalt mit Hilfe eines Transportmodells vom Boltzmann-Ühling-Uhlenbeck (BUU)-Typ numerisch behandelt. Aktuelle Messungen der HADES-Kollaboration bezüglich K+- - und phi-Spektren bilden dabei den entsprechenden experimentellen Rahmen. Darüber hinaus wird das doppelt-seltsame Hyperon Xi- unterhalb der freien NN-Produktionsschwelle analysiert. Hadronische Multiplizitäten, Transversalimpuls- und Rapiditätsspektren werden mit neuen experimentellen Ergebnissen verglichen. Weiterhin werden Massenverschiebungen im Medium, die nukleare Zustandsgleichung sowie das mittlere Feld der Nukleonen berücksichtigt. Neben der Untersuchung von Kern-Kern-Stößen bietet sich in Proton-Kern-Kollisionen ein Vergleich mit jüngsten ANKE-Daten im Hinblick auf die phi-Ausbeute an. Mit Hilfe des BUU-Transportcodes wurden Tranzparenzverhältnisse ermittelt und die Absorption von phi-Mesonen untersucht. Dabei sind sekundäre phi-Produktionskanäle, Isospin-Asymmetrie und Detektorakzeptanzen von Bedeutung und werden systematisch für verschiedene Systemgrößen analysiert. Die impulsintegrierten Boltzmann-Gleichungen dienen im Rahmen einer kinetischen Nichtgleichgewichtsdynamik der Beschreibung hochkomprimierter nuklearer Materie auf hadronischem Niveau, wie sie sowohl beim Urknall als auch bei ultra-relativistischen Schwerionenkollisionen auftritt. Diese Theorie wird am Beispiel von Antiprotonen untersucht und unter Berücksichtigung verschiedener Expansionsmodelle numerisch ausgewertet. Dabei wird die Evolution der Proton- und Antiprotondichten bis zum Ausfrieren für SPS- und RHIC-Energien mittels eines hadro-chemischen Resonanzgasmodells als möglicher Lösungsansatz des "Antiproton-Puzzles" analysiert. Diskutiert wird darüber hinaus das Verhalten baryonischer Materie und Antimaterie im frühen Universum und der adiabatische Pfad kosmischer Materie im QCD-Phasendiagramm. / Strange particles play an important role as probes of relativistic heavy-ion collisions where hot and dense matter is studied. The focus of this thesis is on the production of strange particles within a transport model of Boltzmann-Ühling-Uhlenbeck (BUU) type. Current data of the HADES Collaboration concerning K+- and phi spectra provide the appropriate experimental framework. Moreover, the double-strange hyperon Xi- is analyzed below the free NN production threshold. Hadron multiplicities, transverse-momentum and rapidity spectra are compared with recent experimental data. Further important issues are in-medium mass shifts, the nuclear equation of state as well as the mean field of nucleons. Besides the study of AA collisions a comparison with recent ANKE data regarding the phi yield in pA collisions is done. Transparency ratios are determined and primarily investigated for absorption of phi mesons by means of the BUU transport code. Thereby, secondary phi production channels, isospin asymmetry and detector acceptance are important issues. A systematic analysis is presented for different system sizes. The momentum integrated Boltzmann equations describe dense nuclear matter on a hadronic level appearing in the Big Bang as well as in little bangs, in the context of kinetic off-equilibrium dynamics. This theory is applied to antiprotons and numerically calculated under consideration of various expansion models. Here, the evolution of proton- and antiproton densities till freeze-out is analyzed for ultra-relativistic heavy-ion collisions within a hadrochemic resonance gas model acting as a possible ansatz for solving the "antiproton puzzle". Furthermore, baryonic matter and antimatter is investigated in the early universe and the adiabatic path of cosmic matter is sketched in the QCD phase diagram.
186

In-Medium QCD Sum Rules for omega Meson, Nucleon and D Meson

Thomas, Ronny 28 January 2009 (has links)
The modifications of hadronic properties caused by an ambient nuclear medium are investigated within the scope of QCD sum rules. This is exemplified for the cases of the omega meson, the nucleon and the D meson. By virtue of the sum rules, integrated spectral densities of these hadrons are linked to properties of the QCD ground state, quantified in condensates. For the cases of the omega meson and the nucleon it is discussed how the sum rules allow a restriction of the parameter range of poorly known four-quark condensates by a comparison of experimental and theoretical knowledge. The catalog of independent four-quark condensates is covered and relations among these condensates are revealed. The behavior of four-quark condensates under the chiral symmetry group and the relation to order parameters of spontaneous chiral symmetry breaking are outlined. In this respect, also the QCD condensates appearing in differences of sum rules of chiral partners are investigated. Finally, the effects of an ambient nuclear medium on the D meson are discussed and relevant condensates are identified. / Die Veränderungen von Hadroneneigenschaften durch ein umgebendes nukleares Medium (Kernmaterie) werden mit der Methode der QCD-Summenregeln untersucht. Dies wird am Beispiel des omega-Mesons, des Nukleons und des D-Mesons vorgeführt. Durch die Summenregeln werden integrierte Spektraldichten dieser Hadronen in Beziehung zu Eigenschaften des QCD-Grundzustandes, quantifiziert in Kondensaten, gesetzt. Diskutiert wird am Beispiel des omega-Mesons und des Nukleons, wie diese Summenregeln eine Einschränkung des Parameterbereiches von wenig bekannten Vierquark-Kondensaten durch Vergleich von experimentellen und theoretischen Erkenntnissen erlauben. Ein Katalog unabhängiger Vierquark-Kondensate wird aufgestellt und Relationen zwischen diesen Kondensaten werden deutlich gemacht. Das Verhalten der Vierquark-Kondensate unter der chiralen Symmetriegruppe und der Zusammenhang mit Ordnungsparametern spontaner chiraler Symmetriebrechung werden behandelt. In dieser Hinsicht werden auch die in Differenzen der Summenregeln chiraler Partner eingehenden QCD-Kondensate untersucht. Schließlich werden die Effekte endlicher Kerndichten beim D-Meson diskutiert und relevante Kondensate identifiziert.
187

Untersuchung neutraler pi-Mesonen mit dem elektromagnetischen Kalorimeter des BABAR-Detektors

Maly, Enrico 19 December 2003 (has links)
In this thesis methods of calibration of the electromagnetic calorimeter of the BABAR experiment will be introduced. Additionally a method was developed to take into account the different energy losses between the edges and centres of the crystals. An improvement of the energy resolution of photons was achieved by 15%, depending on the energy. For Y(4S) and continuum events a momentum spectrum of inclusively produced neutral pions (Y(4S) -> pi0 X and e+e- -> q anti-q -> pi0 X, respectively) was determined. For continuum events also a momentum depending angle distribution was determined. From these distributions the average number of produced pi0 per event was calculated. The results for B decays and continuum events are n(B) =2,268+-0,008+-0,115 and n(Continuum)=3,388+-0,005+-0,172, respectively. These values were compared with Monte Carlo simulations and with other analyses. / In dieser Arbeit werden die Kalibrierungsmethoden des elektromagnetischen Kalorimeters des BABAR-Experiments vorgestellt. Entwickelt wurde dabei eine Methode, die die unterschiedlichen Energieverluste zwischen Kristallrändern und Kristallmitten berücksichtigt. Es wurde dabei eine Verbesserung der Energieauflösung von Photonen, abhängig von der Energie, von bis zu 15% erreicht. Für Y(4S)- und Kontinuumsereignisse wurden die Impulsspektren und für letztere die impulsabhängigen Richtungsverteilungen inklusiv produzierter neutraler Pionen (Y(4S) -> pi0 X bzw. e+e- -> q anti-q -> pi0 X) bestimmt. Aus diesen Verteilungen wurde die mittleren Anzahl erzeugter pi0 pro Ereignis ermittelt. Für B-Zerfälle bzw. Kontinuumsereignisse ergaben sich n(B) =2,268+-0,008+-0,115 bzw. n(Kontinuum)=3,388+-0,005+-0,172. Diese Werte wurden mit Monte-Carlo-Simulationen und mit anderen Analysen verglichen.
188

[pt] ESTUDOS DE SENSIBILIDADE PARA VIOLAÇÃO DE CARGA-PARIDADE NOS DECAIMENTOS D+ -> K-K+Π+ E D+ -> Π-Π+Π+ NO EXPERIMENTO LHCB / [en] SENSITIVITY STUDIES FOR CHARGE-PARITY VIOLATION IN THE DECAYS D+ -> K-K+Π+ AND D+ -> Π-Π+Π+ IN THE LHCB EXPERIMENT

LUCAS NICHOLAS FALCAO FERREIRA 11 January 2022 (has links)
[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.
189

On the vector transition form factors in the Ω- → Ξ0 W- decay

Bertilsson, Magnus January 2023 (has links)
To learn more about the structure of hadrons we study form factors. In the semi-leptonic decay Ω- → Ξ0W- two types of form factors arise namely the vector and axial-vector transition form factors. We focus on the vector transition form factors at next-to-next-to-leading order in the power counting of chiral perturbation theory and study their quark mass dependence. They are related to the scattering amplitude for the transition and therefore we have to calculate Feynman diagrams. Next-to-next-to-leading order Feynman diagrams translate to 1-loop diagrams and at this order there is a substantial amount of them. This study is a feasibility study and therefore we limit this study to diagrams containing the low-energy constants HA and hA from the leading order chiral Lagrangian. There are 5 such diagrams, three with two propagators in the loop (bubble diagrams) and two with three propagators in the loop (triangle diagrams). We derive explicit expressions for all 5 diagrams. To calculate these diagrams numerically we use Mathematica and FeynCalc. We provide numerical results for the three bubble diagrams but not the triangle diagrams due to the long computing time for these diagrams. Therefore, we show that performing form factor calculations at NNLO seems feasible but there needs to be more investment into figuring out the coding aspects regarding the triangle diagrams.
190

Quark Dynamics and Constituent Masses in Heavy Quark Systems

Souchlas, Nicholas 20 July 2009 (has links)
No description available.

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