Lowest order perturbative quantum field theory calculations of bound state decay widths

Alimman kertaluvun häiriöteoreettisia kvanttikenttäteorialaskuja sidottujen tilojen hajoamisleveyksille. Työssä lasketaan sidottujen tilojen hajoamisleveydet prosesseille $J/ \psi \rightarrow l^+ l^-$, $\eta_c \rightarrow gg$, $\text{O-Ps}\rightarrow \gamma\gamma\gamma$, $J/ \psi \rightarrow ggg$...

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Main Author: Löytäinen, Topi
Other Authors: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Format: Master's thesis
Language:eng
Published: 2017
Subjects:
Online Access: https://jyx.jyu.fi/handle/123456789/55650
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author Löytäinen, Topi
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Löytäinen, Topi Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Löytäinen, Topi Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_sort Löytäinen, Topi
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description Alimman kertaluvun häiriöteoreettisia kvanttikenttäteorialaskuja sidottujen tilojen hajoamisleveyksille. Työssä lasketaan sidottujen tilojen hajoamisleveydet prosesseille $J/ \psi \rightarrow l^+ l^-$, $\eta_c \rightarrow gg$, $\text{O-Ps}\rightarrow \gamma\gamma\gamma$, $J/ \psi \rightarrow ggg$ ja $J/ \psi \rightarrow \gamma gg$. Prosessit lasketaan perturbatiivisen QED:n ja QCD:n alimmassa kertaluvussa. Laskuissa käydään läpi kolme erilaista tekniikkaa invariantin amplitudin käsittelemiseksi. Johdetut hajoamisleveystulokset käyvät yksiin kirjallisuudesta löytyvien tulosten kanssa. Lisäksi tarkastellaan kokeellisesti varmistettavissa olevia hajoamisleveyssuhteita. Teoreettiset ennusteet ovat $R^{J/\psi}_{1\text{th}} = \Gamma(J/\psi\rightarrow\gamma gg)/\Gamma(J/\psi \rightarrow ggg) \approx 0.104$ sekä $R^{J/\psi}_{2\text{th}} = \Gamma (J/ \psi \rightarrow l^+ l^-) / \Gamma (J/ \psi \rightarrow ggg) \approx 0.060$, jotka ovat melko lähellä kokeellisia arvoja. Lopuksi argumentoidaan, että tulokset voidaan yleistää koskemaan muita raskaita mesoneita joilla on samat kvanttiluvut. The bound state decay widths of the processes $J/ \psi \rightarrow l^+ l^-$, $\eta_c \rightarrow gg$, $\text{O-Ps}\rightarrow \gamma\gamma\gamma$, $J/ \psi \rightarrow ggg$ and $J/ \psi \rightarrow \gamma gg$ are derived in the lowest order perturbative theory of QED and QCD. In these calculations, three different methods for processing the invariant amplitude are presented. The derived decay width results agree with the established ones in the literature. Moreover, experimentally verifiable ratios between calculated decay widths are presented. The theoretical predictions are $R^{J/\psi}_{1\text{th}} = \Gamma(J/\psi\rightarrow\gamma gg)/\Gamma(J/\psi \rightarrow ggg) \approx 0.104$ and $R^{J/\psi}_{2\text{th}} = \Gamma (J/ \psi \rightarrow l^+ l^-) / \Gamma (J/ \psi \rightarrow ggg) \approx 0.060$, which agree relatively well with experimental results. Finally it is argued that the development can be generalized for other heavy mesons with the same quantum numbers.
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Prosessit lasketaan perturbatiivisen QED:n ja QCD:n alimmassa kertaluvussa. Laskuissa k\u00e4yd\u00e4\u00e4n l\u00e4pi kolme erilaista tekniikkaa invariantin amplitudin k\u00e4sittelemiseksi. Johdetut hajoamisleveystulokset k\u00e4yv\u00e4t yksiin kirjallisuudesta l\u00f6ytyvien tulosten kanssa. Lis\u00e4ksi tarkastellaan kokeellisesti varmistettavissa olevia hajoamisleveyssuhteita. Teoreettiset ennusteet ovat $R^{J/\\psi}_{1\\text{th}} = \\Gamma(J/\\psi\\rightarrow\\gamma gg)/\\Gamma(J/\\psi \\rightarrow ggg) \\approx 0.104$ sek\u00e4 $R^{J/\\psi}_{2\\text{th}} = \\Gamma (J/ \\psi \\rightarrow l^+ l^-) / \\Gamma (J/ \\psi \\rightarrow ggg) \\approx 0.060$, jotka ovat melko l\u00e4hell\u00e4 kokeellisia arvoja. Lopuksi argumentoidaan, ett\u00e4 tulokset voidaan yleist\u00e4\u00e4 koskemaan muita raskaita mesoneita joilla on samat kvanttiluvut.", "language": "fi", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.abstract", "value": "The bound state decay widths of the processes $J/ \\psi \\rightarrow l^+ l^-$, $\\eta_c \\rightarrow gg$, $\\text{O-Ps}\\rightarrow \\gamma\\gamma\\gamma$, $J/ \\psi \\rightarrow ggg$ and $J/ \\psi \\rightarrow \\gamma gg$ are derived in the lowest order perturbative theory of QED and QCD. In these calculations, three different methods for processing the invariant amplitude are presented. The derived decay width results agree with the established ones in the literature. Moreover, experimentally verifiable ratios between calculated decay widths are presented. 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spellingShingle Löytäinen, Topi Lowest order perturbative quantum field theory calculations of bound state decay widths sidottu tila perturbatiivinen QFT mesonit bound state particle decays perturbative QFT meson Teoreettinen fysiikka Theoretical Physics 4024 hiukkasfysiikka kvanttikenttäteoria hiukkaset hajoaminen
title Lowest order perturbative quantum field theory calculations of bound state decay widths
title_full Lowest order perturbative quantum field theory calculations of bound state decay widths
title_fullStr Lowest order perturbative quantum field theory calculations of bound state decay widths Lowest order perturbative quantum field theory calculations of bound state decay widths
title_full_unstemmed Lowest order perturbative quantum field theory calculations of bound state decay widths Lowest order perturbative quantum field theory calculations of bound state decay widths
title_short Lowest order perturbative quantum field theory calculations of bound state decay widths
title_sort lowest order perturbative quantum field theory calculations of bound state decay widths
title_txtP Lowest order perturbative quantum field theory calculations of bound state decay widths
topic sidottu tila perturbatiivinen QFT mesonit bound state particle decays perturbative QFT meson Teoreettinen fysiikka Theoretical Physics 4024 hiukkasfysiikka kvanttikenttäteoria hiukkaset hajoaminen
topic_facet 4024 Teoreettinen fysiikka Theoretical Physics bound state hajoaminen hiukkaset hiukkasfysiikka kvanttikenttäteoria meson mesonit particle decays perturbatiivinen QFT perturbative QFT sidottu tila
url https://jyx.jyu.fi/handle/123456789/55650 http://www.urn.fi/URN:NBN:fi:jyu-201710174018
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