The aim of this project is to understand the structure of the Standard Model of the particle physics. Therefore quantum field theories (QFT) are studied in the both cases of abelian and non-abelian gauge theories i.e. quantum electrodynamics (QED), quantum chromodynamics (QCD) and electroweak interaction are reviewed. The solution to the mass problem arising in these theories i.e. spontaneous symmetry breaking is also studied. / Syftet med detta projekt är att förstå strukturen för partikelfysikens standardmodell. Därför studeras kvantfältsteorier (QFT) i båda fallen av abelska och icke-abelska gaugeteorier, dvs kvantelektrodynamik (QED), kvantkromodynamik (QCD) och elektrosvag växelverkan granskas. Lösningen på massproblemet som uppstår i dessa teorier, dvs. spontant symmetribrott studeras också.

The vast majority of all experimental results in particle physics can be described by the Standard Model (SM) of particle physics. However, neither the existence of neutrino masses nor the mixing in the leptonic sector, which have been observed, can be described within this model. In fact, the model only describes a fraction of the known energy in the Universe. Thus, we know there must exist a theory beyond the SM. There is a plethora of possible candidates for such a model, such as supersymmetry, extra dimensional theories, and string theory. So far, there are no evidence in favor of these models. These theories often reside at high energies, and will therefore be manifest as effective theories at the low energies experienced here on Earth. A first example in extra-dimensional theories. From our four-dimensional point of view, particles which propagate through the extra dimensions will effectivel be perceived as towers of heavy particles. In this thesis we consider an extra-dimensional model with universal extra dimensions, where all SM particles are allowed to propagate through the extra dimensions. Especially, we place a bound on the range of validity for this model. We study the renormalization group running of the leptonic parameters as well as the Higgs self-coupling in this model with the neutrino masses generated by a Weinberg operator. Grand unified theories, where the gauge couplings of the SM are unified into a single oe at some high energy scale, are motivated by the electroweak unification. The unification must necessarily take place at energies many orders of magnitude greater than those that ever can be achieved on Earth. In order to make sense of the theoru, ehich is given at the grand unified scale, at the electroweak scale, the symmetry at the grand unified scale is broken down to the SM symmetry. Within these models the SM is considered as an effective field theory. We study renormalization group running of the leptonic parameters in a non-supersymmetric SO(10) model which is broken in two steps via the Pati-Salam group. Finally, the discovery of the new boson at the LHC provides a new opportunity to search for physics beyond the SM. We consider an effective model where the magnitudes of the couplings in the Higgs sector are scaled by so-called coupling scale factors. We perform Bayesian parameter inference based on the LHC data. Furthermore, we perform Bayesian model comparison, comparing models where one or several of the Higgs couplings are allowed, to the SM, where the couplings are fixed. / <p>QC 20141020</p>

In this thesis, compactifications of F-theory on six dimensional symmetric toroidalorbifolds are explored. These orbifold geometries have been mathematically classified and it is natural to ask what the physical implications of string theorycompactifications on those geometries are. Since compactifications of string theory to six dimensions describe a sweet spot in terms of developed methods andrich model-building possibilities, it is interesting to investigate the landscape ofthese theories opposed to the swampland of only apparently consistent quantumtheories of gravity. Additionally, superconformal field theories can exist in at mostsix dimensions. These emerge naturally in the considered F-theory constructions. The present work explores effects of compactifications on such orbifolds buildingon the work of [arXiv:1905.00116v1 [hep-th]]. It constitutes a step towards extendingthe geometric classification of these orbifolds to a classification of the physical models. Beyond [arXiv:1905.00116v1 [hep-th]], roto-translations have severe effects on thegeometry and thus the field theory and the spectrum. These effects are discussedin this thesis and include, amongst others, twisted affine folding of gauge groups, the emergence of superconformal points away from intersecting branes as well assuperconformal sectors related to the multiple fibre. / In dieser Thesis werden Kompaktifizierungen von F-Theorie auf sechs dimensionalen symmetrischen, toroidalen Orbifaltigkeiten untersucht. Da diese Orbifaltigkeiten mathematisch klassifiziert wurden, stellt sich auf natürliche Weisedie Frage nach den physikalischen Implikationen von Kompaktifizierungen vonString Theorie auf diesen. In Kompaktifizierungen von String Theorie zu sechs Dimensionen balancieren sich der Fortschritt der Methoden und die Möglichkeitenphysikalische Theorien zu modellieren optimal. Daher ist es wichtig das "Landscape" dieser Theorien zu untersuchen, im Gegensatz zu dem so genannten "Swampland" von vermeintlich konsistenten Quantentheorien der Gravitation. Darüber hinaus stellt sich heraus, dass superkonforme Feldtheorien höchstens insechs Dimensionen existieren können. Die vorliegende Arbeit erkundet die Effekte von Kompaktifizierungen auf solchen Orbifaltigkeiten aufbauend auf der Arbeit von [arXiv:1905.00116v1 [hep-th]]. Sie stellt einen wichtigen Schritt dar auf dem Weg zu einer Ausweitung der geometrischen Klassifikation dieser Orbifaltigkeiten zu einer Klassifikation der physikalischen Modelle. Über [arXiv:1905.00116v1 [hep-th]] hinaus resultieren Roto-Translationen in Effekten auf die Feldtheorie sowie deren Spektrum. Diese Effekte werden in dieser Thesis diskutiert. Beispiele reichen von getwisteten affinen Faltungen von Eichgruppen, zu dem Auftreten von superkonformen Punkten ohne sich schneidende Branen und superkonforme Sektoren in Verbindung mit dem "mehrfach Faser"-Phänomen. / <p>This thesis was conducted under the regulations of Heidelberg University under the joint supervision of Professor Luca Amendola (University of Heidelberg) and Assistant Professor Magdalena Larfors (Uppsala University) during a one-year ERASMUS-exchange.</p>

This work is included in a broader research of the hadron theory group of Uppsala University and its collaborators tackling the quest for an understanding of the quark distribution inside hadrons by joining threedifferent approaches of QCD namely chiral perturbation theory, dispersion theory and lattice QCD. This thesis contributes by computing in chiral perturbation theory, the quark-masses dependence of form factors. The next-to-next-to-Leading order (NNLO) contribution to the form factors is calculated from one-loop diagrams which brings hadron-masses dependences. The hadron masses are themselves dependent on quark masses. Consequently, the quark-mass dependence of the hadron masses is also addressed in this thesis.The studied process Ω− → W−Ξ0 possesses too many one-loop diagrams to be treated entirely here. This work focuses on the axial-vector sector and more specifically the part coming from the diagrams linear in the low-energy constant hA (see figure 2).To do so, Mathematica and specifically the packages FeynCalc, FeynHelpers and Package X are used. Vector transition form factors at NNLO are presented in the thesis of my colleague Magnus Bertilsson.The present thesis demonstrates that the calculational framework is feasible and paves the way for a complete NNLO calculation.

While holding a firm position in popular culture and science fiction, Dark Matter (DM) is nonetheless a highly relevant topic at the forefront of modern particle physics. We study the applicability of characterizing DM particle candidates SUSY neutralino and sneutrino using Deep Learning (DL) methods. We focus on the monojet and mono-Z signatures and the emergence of missing transverse energy as the result of the undetectable DM candidates. Based on kinematic distributions of outgoing particles as input, a DM candidate classifier is built for each signature, along with a DM mass regressor. The DM candidate classifier obtained near perfect accuracy of 0.995 for the monojet, and 0.978 for mono-Z signature. The monojet and mono-Z mass regressors achieved a Mean Absolute Percentage Error (MAPE) of 17.9 % and 8.5 % respectively. Furthermore, we discuss both the shortcomings and simplification that our choice of model implied, as well as an interpretation of the results. Finally, we debate the prospects of DL in the discovery of new physics and it's use in experiments.

Artificial intelligence (AI) and deep learning have made a full impact on society the last decades, including the realm of particle physics. This thesis explores whether a neural network, a deep learning program mimicking the biological brain, can be used to reject noise in real time at the Radio Neutrino Observatory in Greenland (RNO-G). RNO-G aims to detect radio waves in the ice cape of Greenland, induced by ultra high energy neutrinos ($&gt;10^{18}$ eV). Due to the low flux of neutrinos at these energies, it is desired to increase the sensititivty of RNO-G by lowering the trigger threshold as much as possible. However, lowering the threshold is currently limited by unavoidable thermal noise fluctuations that would otherwise saturate the detector. Previous research has shown that a neural network could be used on a similar neutrino detector, ARIANNA, to reject thermal noise in real time, thus making it possible to lower the trigger threshold below the noise floor. This thesis aims to do the same for RNO-G.

Infrared divergences arising in theories with massless gauge bosons have been shown to cancel in scattering amplitudes when using dressed states constructed from the Faddeev- Kulish approach to the asymptotic states. It has been established that these states are closely related to asymptotic symmetries of the theory, that is, non-vanishing gauge trans- formations at the asymptotic boundary. In this thesis, we review both of these aspects for QED and non-Abelian gauge theories. We also investigate the expectation value of the non-Abelian field strength tensor using dressed states. We then present a novel con- struction of the dressing operator for non-Abelian gauge theories using Wilson lines. We demonstrate, to order O(g2), that each term of the dressing operator is reproduced in the presented Wilson line approach, along with additional terms that warrant a more thorough understanding. This work extends previous results that pertained to QED and gravity.

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.

Features recently added to the nuclear reaction software TALYS allow the use of the GEF model as a fission fragment generator. GEF generates data for fission fragment yields, total excitation energy (TXE), total kinetic energy (TKE) and individual fragment excitation energies (E*) with their standard deviations through Monte Carlo simulations for TALYS. In this work a framework named McPUFF was developed to couple GEF and TALYS and study the propagation of uncertainties in fission fragment data. The GEF model has a set of 94 parameters which were changed in order to produce perturbed output data. Both GEF and TALYS were modified to allow implementation of the Total Monte Carlo (TMC) method which is a method for handling the propagation of uncertainties throughout the simulation process. The developed framework allows the user to control aspects of the nuclear reaction using a set of input files. It is designed to be fast and memory efficient, performing simulations in parallel and storing all results in an object structure. A demonstration of the framework for the neutron induced fission of 235U, 238U and 239Pu was performed. Randomly perturbed sets of fission fragment data were created by GEF and fed into TALYS for simulation of the evaporation process using a Hauser-Feshbach statistical model. The impact that the perturbation of parameters in GEF has on results from TALYS were investigated for prompt particle multiplicity and energy. The results showed that a perturbation of parameter values in GEF by 3 percent has significant effects on values for fission observables produced by TALYS. The TALYS results for 235U showed an uncertainty for prompt neutron multiplicity of σn = 0.16 neutrons with an uncertainty for the neutron energy of σϵn = 0.03 MeV. The corresponding values for the uncertainty of the prompt γ-ray multiplicity were σγ = 0.10 γ-rays with an uncertainty for the γ-ray energy of σϵγ = 0.02 MeV. An investigation of how changes in the angular momentum of the fission fragments affects the evaporation process in GEF and TALYS was performed through the perturbation of the GEF parameter Jscaling. The results highlighted the need to scrutinize the handling of angular momentum in TALYS.

The cosmic neutrino background (CNB) can be composed of both active and hypothetical sterileneutrinos. At approximately one second after big bang, neutrinos decoupled from radiationand matter at a temperature of approximately one MeV. Neutrinos played an important role inthe origin and evolution of our universe and have been indirectly verified by cosmological dataon the BBN (Big Bang nucleosynthesis) of the Big Bang.It was Steven Weinberg in 1962 that first theorized on the direct detection of relic neutrinos.The signal of the relic neutrino capture on a tritium target can be observed by studying theendpoint of the electrons kinetic energy that are above the endpoint energy of the beta decayspectrum. The PTOLEMY project aims to archive direct detection of the relic neutrinobackground with a large tritium target of 100 gram, MAC-E-Filter, RF-tracking, Time of flighttracking and a cryogenic calorimetry.In this thesis the MAC-E-Filter have been simulated in two filter configurations. In the firstconfiguration, the electron were simulated five times in the filter. Two in the opposite sideof the detector, one in the middle, and two at the detector. In the second configuration theelectrons was simulated in the entrance solenoid at a fixed position of y = -0.19634954 m fromthe center of the filter and in random positions. Both multiple electrons and single electronswere simulated in the second configuration.In the single electron configuration the electron had a starting position of y = -0.19634954 mfrom the center of the filter, and an initial kinetic energy of 18.6 KeV. The first filter configurationsuccessfully accomplished to simulate the electron track, as the electron was reflectedback and forth between the entry and detector solenoid. The electric and magnetic field profilediered at the entry and detector solenoid. The second filter configuration successfully showedthat the electron will reach the end solenoid, when the filter length was 0.5 m. When the filterlength was increased to 0.7 m, then the electron was reflected in the middle of the filter. Thesimulation showed that the electron energy dropped below 1 eV from 18.6 KeV as the electronpropagated through the filter. The magnetic and electric fields decreased exponentially in thedirection of the detector solenoid. The Simulation of multiple electrons showed mixed resultsand would need more modifications in order to come to a final conclusion.