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advanced_notions:cp_symmetry [2018/04/15 11:16]
ida [Why is it interesting?]
advanced_notions:cp_symmetry [2019/07/17 08:39] (current)
jakobadmin [Concrete]
Line 3: Line 3:
 <tabbox Intuitive> ​ <tabbox Intuitive> ​
  
 +  * [[https://​www.symmetrymagazine.org/​article/​charge-parity-violation|Charge-parity violation]] by Symmetry Magazine
   * [[http://​web.mit.edu/​physics/​news/​physicsatmit/​physicsatmit_06_sciollafeature.pdf|The Mystery of CP Violation]] by Gabriele Sciolla ​   * [[http://​web.mit.edu/​physics/​news/​physicsatmit/​physicsatmit_06_sciollafeature.pdf|The Mystery of CP Violation]] by Gabriele Sciolla ​
  
   ​   ​
 <tabbox Concrete> ​ <tabbox Concrete> ​
 +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:​cpvobservables.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
 +  * Other famous books on CP violation are "CP Violation"​ by Jarlskog, and "CP Violation"​ by Bigi and Sanda
 +
 +----
 +
 +**CP Violation in the Neutrino Sector**
 +
 +  * The CP phase in the neutrino sector has not been measured yet. The newest current results can be found in https://​arxiv.org/​abs/​1805.05917.
 +
 +
 <tabbox Abstract> ​ <tabbox Abstract> ​
  
   * 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. 
  
   ​   ​
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