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F l a v o u r and Non-universal Gauge Interaction

F l a v o u r and Non-universal Gauge Interaction. 이강영 ( 건국대학교 ). @ 연세대학교 2010. 5. 10. Based on Kang Young Lee, in progress Kang Young Lee, Phys. Rev. D 76, 117702 (2007) Kang Young Lee, Phys. Rev. D 71, 115008 (2005) J. C. Lee, K. Y. Lee, J. K. Kim, Phys. Lett. B 424, 133 (1998).

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F l a v o u r and Non-universal Gauge Interaction

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  1. Flavourand Non-universal Gauge Interaction 이강영 (건국대학교) @ 연세대학교 2010. 5. 10.

  2. Based on Kang Young Lee, in progress Kang Young Lee, Phys. Rev. D 76, 117702 (2007) Kang Young Lee, Phys. Rev. D 71, 115008 (2005) J. C. Lee, K. Y. Lee, J. K. Kim, Phys. Lett. B 424, 133 (1998)

  3. Contents • Introduction • The Model • Constraints from Experiment • Charged Current Interaction • Neutral Current Interaction • Summary

  4. Introduction • The gauge structure of the Standard Model is just for one generation. • There is no reason of the universality in the gauge interaction within the SM. • The electroweak gauge interaction is universal with high accuracy. • No explanation of the flavour structure is given within the SM framework.

  5. Non-universal strong interaction : top-color • Non-universal electroweak interaction : top-flavour • Non-universal gauge interaction shows distinctive features of phenomenology. • Implication of non-universal gauge interaction has been studied in the flavour physics. • Violation of the unitarity of the CKM matrix • FCNC at tree level

  6. The Model • G = SU(2)l X SU(2)h X U(1)Y SU(2)L X U(1)Y U(1)EM • The most general gauge interaction can be reduced to our model. • SU(2)1 X SU(2)2 X SU(2)3 X U(1)Y SU(2)l X SU(2)h X U(1)Y

  7. with The covariant derivative The gauge couplings are parameterized

  8. Spontaneous symmetry breaking by with parameterization Heavy gauge boson masses where

  9. Mass eigenstates in the leading order Model parameters : Perturbativity :

  10. Experimental Constraints A. Electroweak precision test at Z-pole G. Altarelli et al., PLB 349, 145 (1995) K. Y. Lee, PLB 472, 366 (2000) define experimentally

  11. We write Using ZFITTER In our model We derive

  12. LEP Electroweak Working Group, CERN-EP/2003-091

  13. B. Low-energy neutral current data

  14. Particle Data Group, PLB 667, 1 (2008)

  15. C. Atomic parity violation The weak charge of an atom is defined by The correction of the weak charge SM predictions Experimental data

  16. Charged Current Interaction CKM matrix Unitarity relation : Beta decay : K decay : B decay : Unitarity holds.

  17. Non-universal terms in CC interactions separated: where with

  18. Modified CKM matrix Effective CKM matrix (modified CKM + W’ effects) Unitarity violated! Unitarity violating term

  19. Neutral Current Interaction Non-universal terms in NC interactions separated: Universal terms where

  20. Non-universal terms where

  21. Diagonalization where FCNC arise!

  22. Lepton flavour violating processes

  23. V32=0.5 V32=0.1 V32=0.01 V32=0.001

  24. Summary • Non-universal gauge interaction violates • CKM matrix unitarity provides stronger constraints than present experiments such as electroweak precision test, atomic parity violation, low-energy neutral current interactions. • LFV may provide more stringent constraints. • LFV processes are predicted with allowed parameter set. • the unitarity of the CKM matrix • the lepton flavour symmetry at tree level

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