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CP Violation in Decays and Tests for SU(3) Flavor Symmetry Predictions

CP Violation in Decays and Tests for SU(3) Flavor Symmetry Predictions. Xiao-Gang He , Siao-Fong Li, and Hsiu - Hsien Lin JHEP08(2013)065. Outline. Motivation Introduction Breaking effect Other Decays Summary. Motivation. The LHCb has measured the first direct CP violation in

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CP Violation in Decays and Tests for SU(3) Flavor Symmetry Predictions

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  1. CP Violation in Decays and Tests for SU(3) Flavor Symmetry Predictions Xiao-Gang He , Siao-Fong Li, and Hsiu-Hsien Lin JHEP08(2013)065

  2. Outline • Motivation • Introduction • Breaking effect • Other Decays • Summary

  3. Motivation • The LHCb has measured the first direct CP violation in arXiv 1304.6173v2

  4. Motivation • Relation between

  5. Introduction-LHCb • The LHCb experiment is situated at one of the four points around  LHC. • Record the decay of particles containing b and anti-b quarks (B meson) • B mesons formed by the colliding proton beams. http://lhcb-public.web.cern.ch/lhcb-public/Welcome.html

  6. Introduction-CP Violationand KM mechanism • P parity and C parity

  7. Introduction-CP Violationand KM mechanism • KM Matrix • Important properties Unitary triangle ex. ++ JarlskogInvariant ex.

  8. Introduction-B meson u quark ~ 2.4 MeV B quark d quark ~4200 MeV ~4.9 MeV S quark ~100 MeV

  9. Introduction-Three types of CP Violation • Indirect CP violation • CP Violation in mixing • CP Violation in interference of decays with and without mixing • Direct CP violation ! We do.

  10. Introduction-Decay amplitude • In hadrons…… • Operator Product Expansion(Wilson and Zimermann,1972)

  11. Introduction-Decay amplitude Buras et al., Phys. Mod. Vol.68 No.4

  12. Introduction-SU(3) Flavor Symmetry • SU(3) flavor symmetry Lagrangianisn’t affected by flavor transformation. = =

  13. Introduction-SU(3) Flavor Symmetry • Effective Hamilton

  14. SU(3) Prediction For CP Asymmetry In & q=d q=s M Savage et al. , Phys. Rev. D 39, 3346

  15. SU(3) Prediction For CP Asymmetry In &

  16. SU(3) Prediction For CP Asymmetry In & u u P P T ++

  17. SU(3) Prediction For CP Asymmetry In & u u SU(3) Symmetry

  18. SU(3) Prediction For CP Asymmetry In &

  19. Breaking Effects • Deviation from experiment and theory • We can’t conclude that large SU(3) breaking in the relation. 0 Experiment Theory

  20. CP Asymmetry In Decays

  21. CP Asymmetry In Decays

  22. CP Asymmetry In Decays arXiv:1308.1277v1 X X arXiv:1308.1428v1 O X

  23. CP Asymmetry In Decays Generally different

  24. Summary • The relation between and we have studied may well hold in SM with SU(3) symmetry. • The other relations can be tested in the SM with SU(3) symmetry when more data become available. • Large SU(3) breaking effects and CP violation in B+ decays into three charged octet pseudoscalarmesons arXiv:1307.7186v3

  25. Thank for your attention

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