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advanced_notions:cp_symmetry [2018/04/15 11:14] ida |
advanced_notions:cp_symmetry [2019/07/17 08:39] jakobadmin [Concrete] |
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<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. | ||
| | ||
<tabbox Why is it interesting?> | <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> | </tabbox> | ||