Group theory predictions for B --> M₁M₂M₃
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/40914 |
| _version_ | 1826191656253128704 |
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| author | Lin, Tongyan, S.B. Massachusetts Institute of Technology |
| author2 | Iain W. Stewart. |
| author_facet | Iain W. Stewart. Lin, Tongyan, S.B. Massachusetts Institute of Technology |
| author_sort | Lin, Tongyan, S.B. Massachusetts Institute of Technology |
| collection | MIT |
| description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2007. |
| first_indexed | 2024-09-23T08:59:19Z |
| format | Thesis |
| id | mit-1721.1/40914 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T08:59:19Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/409142019-04-10T20:04:57Z Group theory predictions for B --> M₁M₂M₃ Lin, Tongyan, S.B. Massachusetts Institute of Technology Iain W. Stewart. Massachusetts Institute of Technology. Dept. of Physics. Massachusetts Institute of Technology. Dept. of Physics. Physics. Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2007. Includes bibliographical references (leaves 65-66). 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. by Tongyan Lin. S.B. 2008-03-27T18:22:49Z 2008-03-27T18:22:49Z 2007 2007 Thesis http://hdl.handle.net/1721.1/40914 212377113 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 66 leaves application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Lin, Tongyan, S.B. Massachusetts Institute of Technology Group theory predictions for B --> M₁M₂M₃ |
| title | Group theory predictions for B --> M₁M₂M₃ |
| title_full | Group theory predictions for B --> M₁M₂M₃ |
| title_fullStr | Group theory predictions for B --> M₁M₂M₃ |
| title_full_unstemmed | Group theory predictions for B --> M₁M₂M₃ |
| title_short | Group theory predictions for B --> M₁M₂M₃ |
| title_sort | group theory predictions for b m₁m₂m₃ |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/40914 |
| work_keys_str_mv | AT lintongyansbmassachusettsinstituteoftechnology grouptheorypredictionsforbm1m2m3 |