Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime
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Spectrum and couplings of SO(5) x U(1) gauge-Higgs unification model in warped spacetime. B-L. Yutaka Sakamura (Osaka Univ.) with Yutaka Hosotani (Osaka Univ.) Phys.Lett.B645 (2007) 442 March 2, [email protected] Introduction. Structure of EW : unspecified yet Standard Higgs mechanism

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Spectrum and couplings of SO(5) x U(1) gauge-Higgs unification model in warped spacetime

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Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Spectrum and couplings of SO(5)xU(1) gauge-Higgs unification model in warped spacetime

B-L

Yutaka Sakamura (Osaka Univ.)

with Yutaka Hosotani (Osaka Univ.)

Phys.Lett.B645 (2007) 442

March 2, [email protected]


Introduction

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,…)


Introduction1

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


Simplest model su 3 model

Simplest model (SU(3) model)

  • spacetime: 5D flat ( )

  • gauge symmetry:


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

2

Z -Orbifold Parity

Orbifold conditions:


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Higgs doublet


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

  • Higgs doublet


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

  • Higgs doublet

  • (gauge-invariant) Wilson line phase

determined by quantum effect


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Relations among mass scales


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Warped spacetime

Randall, Sundrum, PRL83 (1999) 3370


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Relations among mass scales (warped case)

(Hosotani, Mabe, PLB615 (2005) 257)


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Problem of SU(3) model

  • Wrong value of the Weinberg angle

  • Rho parameter deviates from one.


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Problem of SU(3) model

  • Wrong value of the Weinberg angle

  • Rho parameter deviates from one.


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Problem of SU(3) model

  • Wrong value of the Weinberg angle

  • Rho parameter deviates from one.


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

SO(5)xU(1) model

B-L

Agashe,Contino,Pomarol, NPB719(2005)165

Gauge fields:


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

5D action


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Symmetry breaking


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Symmetry breaking

Higgs doublet


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Symmetry breaking


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Higgs doublet:

By using residual symemtry,

Wilson line phase:


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Mass spectrum

W boson:

Z boson:


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Weak gauge boson masses


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

Gauge couplings

Weinberg angle

Rho parameter


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

WWZ Coupling

SM value


Spectrum and couplings of so 5 x u 1 gauge higgs unification model in warped spacetime

WWH, ZZH couplings


Summary

Summary

B-L

SO(5)xU(1) model in warped spacetime


Future work

Future work

  • Specify the fermionic sector.

  • Include the quantum effects.

  • Determine the value of dynamically.


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