Dark Matter in the Left-Right Twin Higgs Modelsconferences.fnal.gov/dmwksp/Talks/TH_DM.pdfS. Su 3...

S. Su

Dark Matter in the Left-Right Twin Higgs Models

In collaboration with E. Dolle, J. Goodman

Shufang Su • U. of Arizona

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Outline -

Twin Higgs Model Twin Higgs mechanism

Left-right Twin Higgs model

Dark MatterRelic density

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Twin Higgs mechanism -

Higgs as pseudo-Goldstone boson of a global symmetry

Its mass is protected against radiative corrections

• Little Higgs mechanism: collective symmetry breaking

• Twin Higgs mechanism: discrete symmetryMirror symmetryType IA TH: Chacko, Goh, Harnik, hep-ph/0506256Type IB TH: Chacko, Nomura, Papucci, Perez, hep-ph/0510273phenomenology: R. Barbieri, T. Gregoire and L. Hall, hep-ph/0509242

Left-right symmetryType II TH: Chacko, Goh, Harnik, hep-ph/0512088

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Left-right Twin Higgs model -

• Global U(4) , with subgroup SU(2)L × SU(2)R × U(1)B-L gauged

• Left-right symmetry: gL=gR (yL=yR)A linear realization

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U(4) → U(3)

SU(2)L × SU(2)R × U(1)B-L → SU(2)L×U(1)Y7 GB

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H

3 eaten by heavy gauge bosons

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Twin Higgs mechanism -

Quadratic divergence forbidden by left-right symmetry

gL=gR=g

U(4) invariant, does not contribute to the mass of GB

Log contribution:

mH ∼ g2f / (4 π), natural for f ∼ TeV

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EW precision constraints on SU(2)R gauge boson mass ⇒ f > 2 TeV

Introduce another Higgs field that only couples to gauge sector

which has a larger VEV

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• U(4) × U(4), with gauged SU(2)L×SU(2)R×U(1)B-L + LR symmetry

U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H


〈H〉 =

000f

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H

Couple to gauge boson only


〈H〉 =

000f

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H



〈H〉 =

000f

〈Ĥ〉 =

000f̂

7 GB

f > fˆ

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H



× U(4) × U(3)〈H〉 =

000f

〈Ĥ〉 =

000f̂

7 GB

f > fˆ

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H



× U(4) × U(3)

Left 3 Higgses: neutral Higgs φ0, charged Higgs φ±

〈H〉 =

000f

〈Ĥ〉 =

000f̂

7 GB

f > fˆ

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U(4) → U(3)


SM Higgs doublet

↓ EWSB

SM neutral Higgs: H



× U(4) × U(3)

Left 3 Higgses: neutral Higgs φ0, charged Higgs φ±

〈H〉 =

000f

〈Ĥ〉 =

000f̂

7 GB

f > fˆ

SU(2)L Higgs doublet

H1±, H20ˆ ˆ

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Dark Matter-

δ1=mA-mSδ2=mH1-mS

Similar to the dark matter scenario in R. Barbieri, L. Hall, V. Rychkov, hep-ph/0603188L. Honorez, E. Nezri, J. Oliver, M. Tytgat, hep-ph/0612275

• |mS-mA|> a few GeV to avoid constraints from DM direct detection

H20 =S+iAˆ

Current CDMS limit: 10-42 cm2

S A

Z

q q

Avoid such constraints if |mS-mA|> a few GeV

σSI(Z) =G2F m

2N

2π(N − (1− s2W )Z)2 ∼ 10−31cm2

ˆ• coannihilation of S, A, and H1±

• Use MicrOMEGA to calculate the relic density

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Dark Matter-

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!

f=560 GeV δ1=2δ2=2 GeV

δ1=mA-mSδ2=mH1-mS

H20 =S+iAˆ

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Dark Matter-

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!


δ1=mA-mSδ2=mH1-mS

f=610 GeV

f=500 GeV

f=700 GeV

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!

f=1000 GeV

H20 =S+iAˆ

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Dark Matter-

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!


δ1=mA-mSδ2=mH1-mS

f=610 GeV

f=500 GeV

f=700 GeV

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!

f=1000 GeV

H20 =S+iAˆ

mS~mZH/2

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Dark Matter-

H20 =S+iAδ1=mA-mSδ2=mH1-mS


200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!

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Dark Matter-

H20 =S+iAδ1=mA-mSδ2=mH1-mS


200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

!

200 400 600 800 10000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

MS (GeV)

! δ1=2δ2=5 GeVδ1=2δ2=10 GeVδ1=2δ2=20 GeV

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Dark Matter-

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Dark Matter-

mS~mZH/2

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Conclusions

Left-right twin Higgs model: Higgs as pseudo-goldstone boson

quadratic divergence forbidden by left-right symmetry

H20 (S or A) could be a good DM candidate

There are two regions for right amount of relic density

bulk region

pole region: mS~mZH/2

Direct and indirect dark matter detection⇒ see E. Dolle’s talk next

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Dark Matter in the Left-Right Twin Higgs Modelsconferences.fnal.gov/dmwksp/Talks/TH_DM.pdfS. Su 3...

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