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Aspects of baryon and lepton number non-conservation in the Standard model of particle interactions and beyond
Hudec, Matěj ; Malinský, Michal (advisor) ; Kupčo, Alexander (referee) ; Nardecchia, Marco (referee)
This work is devoted to baryon and lepton number violation and flavour physics in theories beyond the Standard Model of particle interactions. First, the relations between the accidental and imposed symmetries are dis- cussed. For example, we argue that the Levi-Civita tensors in the color space may be understood as a unique spurion carrying the baryon number, and as such its absence in the Lagrangian of a specific model indicates baryon number conservation. Afterwards, the two minimal scenarios of quark-lepton unification are ana- lyzed in detail: the Minimal quark-lepton symmetry model and its extension by the inverse seesaw mechanism. We investigate if the observed anomalies in the B-meson decays could be to some extent accommodated within these models. Finally, possible low-energy effects of gauge leptoquarks are studied in the theory of quark-lepton unification and its simple extensions by vector-like leptons. Taking fully into account the freedom in the quark-lepton mixing, a catalogue of measurements currently forming the border of the excluded parameter space is found. We argue that, within the considered class of models, the gauge leptoquark can account for the discrepancies in the neutral-current B decays if and only if at least two extra generations of weak-isosinglet leptons exist. 1
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Aspects of renormalization of spontaneously broken gauge theories
Hudec, Matěj ; Malinský, Michal (advisor) ; Beneš, Petr (referee)
In this thesis, we use the Coleman-Weinberg effective potential for computing the radiative corrections to scalar masses in six simple models of the quantum field theory. We probe, for example, the theory of two scalar fields, simple generalizations of the Abelian Higgs model or some classic extensions of the Standard Model. A common feature of all the theories considered is the existence of (at least) two mass scales different in order of magnitude. Being motivated by the hierarchy problem, we study mainly the sensitivity of light scalar masses on the radiative corrections induced by the heavy fields in relevant Feynman loops. We demonstrate that while the masses of scalars with zero VEV obtain corrections proportional to the masses of the heavy fields, in theories with the spontaneous symmetry breakdown is the Higgs mass always governed by the corresponding ordering parameter, i.e., by its vacuum expectation value. For the Standard Model, understood as an effective field theory, this implies that the Higgs boson mass is as stable with respect to the effects of possible new physics on very high energies as the masses of the leptons, quarks, W and Z bosons. Powered by TCPDF (www.tcpdf.org)
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Difraction of particle on slit with internal structure
Hudec, Matěj ; Čížek, Martin (advisor) ; Houfek, Karel (referee)
In this thesis we study the difraction of a particle on a slit, focusing on the resonance effects. The two-dimensional model containing a delta-function barrier with variable height which represents the slit is solved on a belt with periodic boundary condition. In most cases we use the numerical solution of the problem using our program. The results are compared with elastic approximations. We study the characteristics of the resonances in detail, the dependence of their existence, energy and height on the parameters of the slit, and the relation between resonances and bound states. The last chapter is devoted to the problem of spreading the belt in order to get the results that describe the scattering process on the whole plain. We suggest two ap- proaches of description of this process and demonstrate that the appearance of the resonances is not limited to the given boundary condition. 1
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