260 likes | 352 Views
Explore CP violation in decays and tests for SU(3) flavor symmetry predictions. Topics covered include direct and indirect CP violation, KM mechanism, breaking effects, decay amplitudes, and more. Learn about the LHCb experiment and its significance in measuring CP violation.
E N D
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 arXiv 1304.6173v2
Motivation • Relation between
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
Introduction-CP Violationand KM mechanism • P parity and C parity
Introduction-CP Violationand KM mechanism • KM Matrix • Important properties Unitary triangle ex. ++ JarlskogInvariant ex.
Introduction-B meson u quark ~ 2.4 MeV B quark d quark ~4200 MeV ~4.9 MeV S quark ~100 MeV
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.
Introduction-Decay amplitude • In hadrons…… • Operator Product Expansion(Wilson and Zimermann,1972)
Introduction-Decay amplitude Buras et al., Phys. Mod. Vol.68 No.4
Introduction-SU(3) Flavor Symmetry • SU(3) flavor symmetry Lagrangianisn’t affected by flavor transformation. = =
Introduction-SU(3) Flavor Symmetry • Effective Hamilton
SU(3) Prediction For CP Asymmetry In & q=d q=s M Savage et al. , Phys. Rev. D 39, 3346
SU(3) Prediction For CP Asymmetry In & u u P P T ++
SU(3) Prediction For CP Asymmetry In & u u SU(3) Symmetry
Breaking Effects • Deviation from experiment and theory • We can’t conclude that large SU(3) breaking in the relation. 0 Experiment Theory
CP Asymmetry In Decays arXiv:1308.1277v1 X X arXiv:1308.1428v1 O X
CP Asymmetry In Decays Generally different
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