Gauge-Higgs Dark Matter 山下　敏史　(名古屋大学) ２０１０年１月１３日　 余剰次元物理研究会＠大阪大学 based on arXiv:0910.3741 [hep-ph] with N. Haba (Osaka Univ.) S. Matsumoto (Toyama Univ.) N. Okada (KEK --> Alabama Univ.)

Overview Motivation for beyond the SM DM in gauge-Higgs unification 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 axion, gravitino, ・・・ protecting symmetry by hand R-parity, T-parity, ・・・ accidental KK-parity, ・・・

New DM candidate lightest AP mode as DM candidate applicable to S1/Z2 N.Haba, S.Matsumoto, N.Okada and T.Y. arXiv:0910.3741 applicable to S1/Z2 lightest AP mode as DM candidate S1 compactification : The Lagrangian should be periodic. Fields need not single-valued. e.g. anti-periodic (AP) B.C. can be imposed. Terms w/ odd # of AP fields are AP, and forbidden. AP fields must appear in pairs. periodic : even anti-periodic : odd accidental Z2

gauge-Higgs dark matter New DM candidate N.Haba, S.Matsumoto, N.Okada and T.Y. arXiv:0910.3741 lightest AP mode as DM candidate Why should we introduce AP fields? -- 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

Plan Overview New DM candidate Gauge-Higgs Dark Matter Summary

Gauge-Higgs Dark Matter 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 & C.S.Lim (1998)

Gauge-Higgs Dark Matter warped GHU easily realizes large mKK/mW, Yt and mh. Cf.) flat GHU The EW observables tend to get large corrections. small VEV (additional) AP fermions Haba, Hosotani, Kawamura & T.Y. (‘04) Agashe & Contino (2005) DM? Cf.) M. Regis, M. Serone & P. Ullio (2003) G. Panico, E. Ponton, J. Santiago & M. Serone (2005) model, with an exchange (Z2) symmetry B.C. :

Gauge-Higgs Dark Matter our setup N.Haba, S.Matsumoto, N.Okada and T.Y. SO(4) SM SO(4) SO(5) boundary Higgs UV brane IR brane B.C. EW Higgs

Gauge-Higgs Dark Matter our setup N.Haba, S.Matsumoto, N.Okada and T.Y. SO(5) adjoint : SM SO(4) SO(5) boundary Higgs UV brane IR brane B.C. EW Higgs

Gauge-Higgs Dark Matter SM fermion sector not simple but possible 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 additional AP fermion as GHDM parity odd bulk mass parameter c.

Gauge-Higgs Dark Matter AP DM in warped GHU relevant int. are those w/ Higgs and gauge. Interactions with Higgs are largely controlled by the gauge symmetry. three parameters. 50 AP fermion (in SO(5) * U(1) model) --> cross sections --> Boltzmann Eq. --> relic abundance

Gauge-Higgs Dark Matter N.Haba, S.Matsumoto, N.Okada and T.Y. arXiv:0910.3741 result ( , ) relic abundance direct detection CDMS2 mDM=mh/2 WMAP5 + BAO + SN

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.