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--- advanced_notions:cp_symmetry [2018/04/15 11:14]
ida [Layman]
+++ advanced_notions:cp_symmetry [2019/07/17 08:34]
jakobadmin [Concrete]
@@ Line 1: / Line 1: @@
 ====== CP Symmetry ======
-<tabbox Why is it interesting?>
+<tabbox Intuitive>
-<tabbox Layman>
+  * [[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
-<tabbox Student>
+<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: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
-<tabbox Researcher>
+  * 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
-  * 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
+----
+**CP Violation in the Neutrino Sector**
-<tabbox Examples>
---> Example1#
+  * 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.
-<--
---> Example2:#
+<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
-<--
+  * [[https://arxiv.org/abs/math-ph/0012006|The Pin Groups in Physics]] by Berg et. al.
-<tabbox FAQ>
-<tabbox History>
+<tabbox Why is it interesting?>
+A CP transformation transforms a particle into the corresponding antiparticle. A intact CP symmetry therefore means that particles and antiparticles are indistinguishable. However, we know from experiments that CP is a broken symmetry since, for example, there are more particles than antiparticles in the visible universe.
 </tabbox>

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