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High Order Corrections to Fundamental Constants Open Access


Other title
Atomic corrections
Perturbation theory
Type of item
Degree grantor
University of Alberta
Author or creator
Dowling, Matthew E
Supervisor and department
Czarnecki, Andrzej (Physics)
Examining committee member and department
Moore, Roger (Physics)
Hill, Richard (University of Chicago, Physics)
Czarnecki, Andrzej (Physics)
Blokland, Ian (Augustana Campus)
Penin, Alexander (Physics)
Department of Physics

Date accepted
Graduation date
Doctor of Philosophy
Degree level
This thesis explores the determination of a few of the fundamental constants of the standard model by employing different methods than those historically used. Modern field theory techniques are applied to the calculation of the α2(Zα)5 corrections to the Lamb shift leading to an increase in the precision of the current value. It is then shown how these same techniques can be used to compute the α(Zα)5 corrections to the bound electron g-factor. Next, the beyond the standard model decay of a muon into an electron and a particle called a Majoron is considered. This calculation provides the theory that underlies a new method of searching for the Majoron that does not require any modification of currently planned muon to electron conversion experiments. Finally, the two related decays of a b-quark decaying to a c-quark and leptons and a muon decaying to an electron and neutrinos are considered in a new kinematic configuration. This new approach provides the O(αs2) corrections to the semileptonic b-quark decay rate and is currently the only method that gives access to the O(α3) corrections to the muon decay rate. All of these corrections are used in determining fundamental properties of the standard model as well as the ongoing search for new physics.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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