1. Spectrum and couplings of SO(5) x U(1) gauge-Higgs unification model in warped spacetime Yutaka Sakamura (Osaka Univ.) with Yutaka Hosotani (Osaka Univ.) Phys.Lett.B645 (2007) 442 March 2, 2007@KEK B-L

2. Introduction Structure of EW ： unspecified yet Standard Higgs mechanism Little Higgs model (N.Arkani-Hamed, et al., JHEP 0208 (2002) 021 ) Higgsless model (C.Csaki, et al., PRD69 (2004) 055006) Gauge-Higgs unification model (GHU) (N.Manton, NPB158 (1979)141, D.B.Fairlie, PLB82(1979)97,…)

3. Introduction Structure of EW ： unspecified yet Standard Higgs mechanism Little Higgs model (N.Arkani-Hamed, et al., JHEP 0208 (2002) 021 ) Higgsless model (C.Csaki, et al., PRD69 (2004) 055006) Gauge-Higgs unification model (GHU) (N.Manton, NPB158 (1979)141, D.B.Fairlie, PLB82(1979)97,…) In GHU, Higgs mass is protected by Higher dimensional gauge symmetry

4. spacetime: 5D flat ( ) gauge symmetry: Simplest model (SU(3) model)

5. Z -Orbifold Parity Orbifold conditions: 2

7. Higgs doublet

9. (gauge-invariant) Wilson line phase determined by quantum effect

10. Relations among mass scales

13. Warped spacetime Randall, Sundrum, PRL83 (1999) 3370

14. Relations among mass scales (warped case) (Hosotani, Mabe, PLB615 (2005) 257)

15. Problem of SU(3) model Wrong value of the Weinberg angle Rho parameter deviates from one.

16. Problem of SU(3) model Wrong value of the Weinberg angle Rho parameter deviates from one.

17. Problem of SU(3) model Wrong value of the Weinberg angle Rho parameter deviates from one.

18. SO(5) x U(1) model B-L Gauge fields: Agashe,Contino,Pomarol, NPB719(2005)165

19. 5D action

20. Symmetry breaking

21. Higgs doublet

22. Symmetry breaking

24. Higgs doublet: By using residual symemtry, Wilson line phase:

25. Mass spectrum W boson: Z boson:

27. Weak gauge boson masses

28. Gauge couplings Weinberg angle Rho parameter

29. WWZ Coupling SM value

30. WWH, ZZH couplings

31. Summary SO(5) x U(1) model in warped spacetime B-L

32. Future work Specify the fermionic sector. Include the quantum effects. Determine the value of dynamically.