Higgs effective potential in the warped gauge higgs unification
This presentation is the property of its rightful owner.
Sponsored Links
1 / 19

Higgs effective potential in the warped Gauge-Higgs Unification PowerPoint PPT Presentation


  • 53 Views
  • Uploaded on
  • Presentation posted in: General

Higgs effective potential in the warped Gauge-Higgs Unification. Toshifumi Yamashita ( SISSA Osaka Univ. ). 2007/12/13 @KEK Theory Meeting. in preparation with N.Haba (Osaka Univ.) S.Matsumoto (Tohoku Univ.)

Download Presentation

Higgs effective potential in the warped Gauge-Higgs Unification

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Higgs effective potential in the warped gauge higgs unification

Higgs effective potential in the warped Gauge-Higgs Unification

Toshifumi Yamashita

(SISSA Osaka Univ.)

2007/12/13

@KEK Theory Meeting

in preparation with N.Haba (Osaka Univ.)

S.Matsumoto (Tohoku Univ.)

N.Okada (KEK)


Higgs effective potential in the warped gauge higgs unification

Plan

  • Introduction

  • Warped GHU

  • Interval v.s. orbifold

  • Summary


Introduction

Introduction

D.B. Fairlie(1979)

N.S. Manton(1979)

  • Gauge-Higgs Unification

5D theory

gauge field

compactification

4D theory

gauge field

scalar field

with KK modes

Higgs

5D gauge invariance protects the Higgs mass!!

H.Hatanaka, T.Inami and C.S.Lim (1998)


Introduction1

Introduction

  • Orbifold

ex)

Fields may notbe invariant !

ex)

Symm. transformation


Introduction2

Introduction

  • Orbifold breaking

Y.Kawamura (2000)

ex)

Doublet Higgs!

It is important to calculate effective potential.

flat directions


Introduction3

Introduction

M.Kubo, C.S.Lim and

H.Yamashita (2002)

N.Haba and T.Y. (2004)

  • 1-loop effective potential

finite!!

too small!!

When , we get .

tuning

We need .


Introduction4

Introduction

  • Higgs mass

The quartic coupling is zero at the tree level.

The Higgs mass tends to be too small.

  • Top Yukawa

Top Yukawa is larger than the gauge coupling.

In the flat GHU scenario, typically

too small KK scale, Higgs mass & top mass.


Introduction5

Introduction

  • warped GHU

The problems are solved (almost) automatically.

A lot of studies have been made.

  • R. Contino, Y. Nomura and A. Pomarol (2003)

  • K. Oda and A. Weiler (2005)

  • K. Agashe, R. Contino and A. Pomarol (2005)

  • Y. Hosotani and M. Mabe (2005)

  • Y. Hosotani, S. Noda, Y. Sakamura and S. Shimasaki (2006)

  • Y. Sakamura and Y. Hosotani (2007)

    …

The eff. potential is studied less exhaustively.

We investigate it.


Higgs effective potential in the warped gauge higgs unification

Plan

  • Introduction

  • Warped GHU

  • Interval v.s. orbifold

  • Summary


Warped gauge higgs unification

Warped Gauge-Higgs Unification

  • Randall-Sundrum

Randall & Sundrum (1999)

natural scale : TeV


Warped gauge higgs unification1

Warped Gauge-Higgs Unification

  • Weak scale vs. KK & top mass

A parameter

of fermions

flat case

In the warped GHU scenario,

the gauge coupling is rather suppressed.

gauge

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation


Warped gauge higgs unification2

Warped Gauge-Higgs Unification

+ : periodic

-: anti-periodic

  • Effective Potential

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation


Warped gauge higgs unification3

Warped Gauge-Higgs Unification

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation

  • Effective Potential

w/

2 anti-periodic fundamental fermions

1 periodic adjoint fermion

N. Haba and T.Y. (2004)


Warped gauge higgs unification4

Warped Gauge-Higgs Unification

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation

  • Effective Potential

w/

2 anti-periodic fundamental fermions

1 periodic adjoint fermion

A large Higgs mass


Higgs effective potential in the warped gauge higgs unification

Plan

  • Introduction

  • Warped GHU

  • Interval v.s. orbifold

  • Summary


Interval v s orbifold

Interval v.s. orbifold

  • Orbifold

ex)

= interval (?)

Fields may notbe invariant!

ex)

Gauge transformation


Interval v s orbifold1

wider class of BCs

Periodic

Anti-Periodic

Interval v.s. orbifold

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation

  • Orbifold

+ : Neumann

-: Dirichlet

ex)

= interval (?)

In the orbifold picture

C. Csaki et al (2004)

N. Sakai and N. Uekusa (2007)

In the interval picture

Preliminary

All vanishing !!


Summary

Summary

  • warped Gauge-Higgs unification

large KK scale

large top mass

large Higgs mass

N.Haba, S.Matsumoto,

N.Okada and T.Y.

in preparation

  • Effective potential is calculated

Non-orbifold like fermions

Vanishing contributions

  • The low energy effective theory

    is also analyzed in the coming paper


Back up slides

Back-up Slides


  • Login