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Applications of the Wavelet Transform to B Mixing Analysis Cadien, Adam Samuel

Abstract

Abstract The neutral B mesons B0 and B0s can under go flavor changing oscillations due to interactions by the weak force. Experiments which measure the frequency of these state transitions produce extremely noisy results that are difficult to analyse. A method for extracting the frequency of B mesons oscillations using the continuous wavelet transform is developed here. In this paper the physics of B meson mixing is related, leading to the derivation of a function describing the expected amount of mixing present in B0 and B0s meson decays. This result is then used to develop a new method for analysing the underlying frequency of oscillation in B mixing. An introduction to wavelet theory is provided in addition to details on interpreting daughter wavelet coefficient diagrams. Finally, the effectiveness of the analysis technique produced, referred to as the Template Fitting Method, is investigated through an application to data generated using Monte Carlo methods.

Item Metadata

Title
Applications of the Wavelet Transform to B Mixing Analysis
Creator
Cadien, Adam Samuel
Date Issued
2008-06
Description
Abstract The neutral B mesons B0 and B0s can under go flavor changing oscillations due to interactions by the weak force. Experiments which measure the frequency of these state transitions produce extremely noisy results that are difficult to analyse. A method for extracting the frequency of B mesons oscillations using the continuous wavelet transform is developed here. In this paper the physics of B meson mixing is related, leading to the derivation of a function describing the expected amount of mixing present in B0 and B0s meson decays. This result is then used to develop a new method for analysing the underlying frequency of oscillation in B mixing. An introduction to wavelet theory is provided in addition to details on interpreting daughter wavelet coefficient diagrams. Finally, the effectiveness of the analysis technique produced, referred to as the Template Fitting Method, is investigated through an application to data generated using Monte Carlo methods.
Extent
1552871 bytes
Subject
wavelet transform; B mesons; Template Fitting Method; Monte Carlo; mass difference; extraction; MatLab; Curve Fitting Template; data analysis; B meson decay; CP Violation; error
Genre
Graduating Project
Type
Text
File Format
application/pdf
Language
eng
Series
University of British Columbia. PHYS 449
Date Available
2008-06-05
Provider
Vancouver : University of British Columbia Library
Rights
All rights reserved
DOI
10.14288/1.0085956
URI
http://hdl.handle.net/2429/868
Affiliation
Science, Faculty of; Physics and Astronomy, Department of
Campus
UBCV
Citation
Cadien, Adam. 2008. Applications of the Wavelet Transform to B Mixing Analysis. Undergraduate Honours Thesis. Department of Physics and Astronomy. University of British Columbia.
Peer Review Status
Unreviewed
Scholarly Level
Undergraduate
Copyright Holder
Adam Cadien
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