Gauge-Higgs Dark MatterGauge-Higgs Dark Matter

２０１０年１月１３２０１０年１月１３日　日　余剰次元物理研究会余剰次元物理研究会＠大阪大学＠大阪大学

山下　敏史　 ( 名古屋大学 )

based on arXiv:0910.3741 [hep-ph] based on arXiv:0910.3741 [hep-ph] with with N. Haba (Osaka Univ.) N. Haba (Osaka Univ.) S. Matsumoto (Toyama Univ.)S. Matsumoto (Toyama Univ.) N. Okada (KEK --> Alabama Univ.)N. Okada (KEK --> Alabama Univ.)

Overview

Motivation for beyond the SM hierarchy problem dark matter dark energy inflation

・・・

• SUSY• Technicolor• Extra dimension(s)

ADD (large XD)RS (warped XD)GHU (TeV XD)

DM in gauge-Higgs unification New DM candidate in general XD apply it to GHU

Plan

• Overview• New DM candidate• Gauge-Higgs Dark Matter• Summary

New DM candidate

What’s the DM? dark (NR) matter (quasi) stable

neutral, colorless

massive, ・・・superweak coupling

protecting symmetry

by hand

axion, gravitino, ・・・

accidentalR-parity, T-parity, ・・・

KK-parity, ・・・

• S1 compactification :

New DM candidate

lightest AP mode as DM candidate

The Lagrangian should be periodic.

AP fields must appear in pairs.

accidental Z2

periodic : even

anti-periodic : odd

Terms w/ odd # of AP fields are AP, and forbidden.

N.Haba, S.Matsumoto,N.Okada and T.Y.arXiv:0910.3741

• Fields need not single-valued.e.g. anti-periodic (AP) B.C. can be imposed.

applicable to S1/Z2

• Why should we introduce AP fields?

New DM candidate

lightest AP mode as DM candidate

N.Haba, S.Matsumoto,N.Okada and T.Y.arXiv:0910.3741

-- In general, no reason other than the DM.

-- In the gauge-Higgs unification scenario,

AP fermions are often introduced.

Because of the structure of GHU, it has strong predictive power.

gauge-Higgs dark matter

gauge-Higgs dark matter

Plan

• Overview• New DM candidate• Gauge-Higgs Dark Matter• Summary

Gauge-Higgs Dark Matter

Gauge-Higgs Unification

5D theory

with KK modes gauge fieldHiggs

compactification

4D theory

gauge field

scalar field

5D gauge invariance protects the Higgs mass!!

D.B. Fairlie 　 (1979)N.S. Manton (1979)

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

Gauge-Higgs Dark Matter

warped GHU• easily realizes large mKK/mW, Yt and mh.

Haba, Hosotani, Kawamura & T.Y. (‘04)

Cf.)

Agashe & Contino (2005)

(additional) AP fermions

DM?

• The EW observables tend to get large corrections.

• M. Regis, M. Serone & P. Ullio (2003)• G. Panico, E. Ponton, J. Santiago & M. Serone (2005)

model, with an exchange (Z2) symmetry

small VEV

B.C. :

Cf.) flat GHU

Gauge-Higgs Dark Matter

SO(4) SO(4)

B.C.boundary

Higgs EW Higgs

SM

UV brane IR brane

SO(5)

N.Haba, S.Matsumoto, N.Okada and T.Y. our setup

Gauge-Higgs Dark Matter

SO(4)

B.C.boundary

Higgs EW Higgs

• SO(5) adjoint :

SM

N.Haba, S.Matsumoto, N.Okada and T.Y. our setup

UV brane IR brane

SO(5)

• not simple but possible

Gauge-Higgs Dark Matter

SM fermion sector

additional AP fermion as GHDM

We just assume realistic models are somehow constructed.

( little effect in this calculation.)

Higgs effective potential is not calculable.• We treat and as free parameters to parameterize the effective potential, model independently.• with

• parity odd bulk mass parameter c.

• Interactions with Higgs are largely controlled by the gauge symmetry.

• relevant int. are those w/ Higgs and gauge.

Gauge-Higgs Dark Matter

AP DM in warped GHU

three parameters.

50 AP fermion (in SO(5) * U(1) model)

--> cross sections --> Boltzmann Eq.

--> relic abundance

--> cross sections --> Boltzmann Eq.

--> relic abundance

Gauge-Higgs Dark Matter

result ( , )

N.Haba, S.Matsumoto,N.Okada and T.Y.arXiv:0910.3741

• relic abundance • direct detection

WMAP5 + BAO + SN

mDM=mh/2

CDMS2

Summary

A new candidate of DM in general XD models• Anti-periodic fields appear in always in pairs.

accidental Z2 symmetry!

Gauge-Higgs Dark Matter

• In the GHU, AP fermions often introduced.the lightest one may be the DM.

• Predictive because of the structure of GHU.• consistent w/ WIMP scenario, • future DD experiments will completely cover the interesting (bulk) region.