advanced_notions:cp_symmetry
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advanced_notions:cp_symmetry [2018/05/16 12:11] jakobadmin [Concrete] |
advanced_notions:cp_symmetry [2019/07/17 08:34] jakobadmin [Concrete] |
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| + | Kaon Flavor Eigenstates: | ||
| + | \begin{equation*} | ||
| + | |K^0\rangle = |\bar{s}d \rangle \qquad |\overline{K}^0\rangle = |s \bar{d} \rangle | ||
| + | \end{equation*} | ||
| + | $$CP\!: \; |K^0\rangle \longleftrightarrow |\overline{K}^0 \rangle$$ | ||
| + | |||
| + | Kaon CP Eigenstates: | ||
| + | |||
| + | \begin{equation*} | ||
| + | |K_{CP \pm}\rangle = \frac{1}{\sqrt{2}} \left( |K^0\rangle \pm |\overline{K}^0 \rangle \right) | ||
| + | \end{equation*} | ||
| + | |||
| + | Kaon Propagating Mass Eigenstates: | ||
| + | |||
| + | $$|K_L \rangle \sim |K_{CP-}\rangle + \epsilon_K |K_{CP+}\rangle$$ | ||
| + | |||
| + | **Observables:** | ||
| + | |||
| + | |||
| + | {{ :advanced_notions:cpviolationobservables.png?nolink |}} | ||
| + | |||
| + | ---- | ||
| + | |||
| + | |||
| + | * An amazing discussion can be found [[https://paul.physicsnotes.org/doku.php?id=distillery:cpv|here]]. | ||
| + | * A nice introduction is [[https://arxiv.org/abs/hep-ph/0406326|The Theory of CP-Violation -- in as Much of a Nutshell as Will Fit on 8 Pages]] by Patricia Ball | ||
| * For a nice PhD thesis on the topic, see [[https://arxiv.org/pdf/1608.05240.pdf|CP and other Symmetries of Symmetries]] by Andreas Trautner | * For a nice PhD thesis on the topic, see [[https://arxiv.org/pdf/1608.05240.pdf|CP and other Symmetries of Symmetries]] by Andreas Trautner | ||
| * Great textbooks on CP violation is "CP Violation" by Branco, Lavoura, and Silva and "Discrete Symmetries and CP Violation: From Experiment to Theory" by Marco Sozzi | * Great textbooks on CP violation is "CP Violation" by Branco, Lavoura, and Silva and "Discrete Symmetries and CP Violation: From Experiment to Theory" by Marco Sozzi | ||
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| * An extensive discussion of how to consistently define a CP symmetry in gauge theories can be found in [[https://arxiv.org/abs/hep-ph/9506272|Automorphisms in Gauge Theories and the Definition of CP and P]] by W. Grimus and M. N. Rebelo | * An extensive discussion of how to consistently define a CP symmetry in gauge theories can be found in [[https://arxiv.org/abs/hep-ph/9506272|Automorphisms in Gauge Theories and the Definition of CP and P]] by W. Grimus and M. N. Rebelo | ||
| + | * [[https://arxiv.org/abs/math-ph/0012006|The Pin Groups in Physics]] by Berg et. al. | ||
| | | ||
advanced_notions/cp_symmetry.txt ยท Last modified: 2019/07/17 08:39 by jakobadmin
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