Group theory predictions for B --> M₁M₂M₃
Name
212377113-MIT.pdf
Description
Full printable version
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3.86 MB
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61c7bae7025daf471b4b0c370b833c97
Author(s)
Lin, Tongyan, S.B. Massachusetts Institute of Technology
Advisor(s)
Iain W. Stewart.
Date Issued
2007
Publisher
Massachusetts Institute of Technology
Abstract
The study of B meson decays to 3 pseudoscalar mesons MMM provides a promising arena for constraining CP violation from the Standard Model and searching for "new physics". In this thesis we derive decay amplitudes, rates, and CP asymmetries for B mesons decaying to MMM, in the limit of SU(2) isospin and in the limit of SU(3) quark flavor symmetry. Our results are classified according to the relative angular momentum of mesons in the final states. When all the mesons have relative even angular momentum, there are 56 decay channels expressed as linear combinations of 7 reduced matrix elements. There are also 7 reduced matrix elements for the 36 decay channels where all the mesons have relative odd angular momentum. These results imply relations between the decay amplitudes, including several isospin triangles for B --> MMM, analogous to the B --> [pi][pi] isospin triangle. We also derive sum rules for isospin triangle. We also derive sum rules for B --> MMM, which give approximate SU(2) relations among branching ratios and CP asymmetries.
Description
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2007.
Includes bibliographical references (leaves 65-66).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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