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Neutralino Dark Matter and polarization: a way to distinguish - - PowerPoint PPT Presentation

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ILC Physics in Florence Neutralino Dark Matter and polarization: a way to distinguish SUSY-GUT from CMSSM Lorenzo Calibbi Universidad de Valencia Firenze, 12/09/2007 First part: SUSY-GUTs, SUSY see-saw and Neutralino DM based on L.C., Y.

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Neutralino Dark Matter and τ polarization: a way to distinguish SUSY-GUT from CMSSM

Lorenzo Calibbi Universidad de Valencia ILC Physics in Florence

Firenze, 12/09/2007

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Neutralino DM and τ polarization Lorenzo Calibbi

First part: SUSY-GUTs, SUSY see-saw and Neutralino DM

based on L.C., Y. Mambrini, S. Vempati, arXiv:0704.3518 [hep-ph]

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Neutralino DM and τ polarization Lorenzo Calibbi

Neutralino Dark Matter

MSSM neutralinos: Lightest eigenvalue: R-parity makes the LSP stable → candidate for CDM Relic density (WMAP):

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CMSSM: Mostly “Bino”:

Small annihilation cross-section → too large relic density CMSSM and three WMAP “corridors” Peculiar conditions to enhance cross-section are needed!

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM: Mostly “Bino”:

  • Stau coannihilation:

CMSSM and three WMAP “corridors”

Neutralino DM and τ polarization Lorenzo Calibbi

  • A-pole funnel:
  • Focus point: for small μ → close to the “no EWSB” region ( μ2 < 0 )

enhancement of the higgsino components → close to the “stau LSP” region

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CMSSM:

  • Stau coannihilation:

CMSSM and three WMAP “corridors” → close to the “stau LSP” region

Neutralino DM and τ polarization Lorenzo Calibbi

  • A-pole funnel:

Mostly “Bino”:

  • Focus point: for small μ → close to the “no EWSB” region ( μ2 < 0 )

enhancement of the higgsino components

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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CMSSM vs. SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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SU(5)RN parameter space tanβ=40 SU(5)RN

Neutralino DM and τ polarization Lorenzo Calibbi

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tanβ=40

I) II)

SU(5)RN SU(5)RN parameter space

Neutralino DM and τ polarization Lorenzo Calibbi

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tanβ=40

(right stau mass for m0 = 0 ) I) II)

SU(5)RN SU(5)RN parameter space

Neutralino DM and τ polarization Lorenzo Calibbi

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tanβ=40

(right stau mass for m0 = 0 ) I) II)

SU(5)RN SU(5)RN parameter space

Neutralino DM and τ polarization Lorenzo Calibbi

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tanβ=40

(right stau mass for m0 = 0 ) I) II)

SU(5)RN SU(5)RN parameter space

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN WMAP allowed points

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN WMAP allowed points

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN WMAP allowed points

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN tanβ =40

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN Stau coannihilation: tanβ =40

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN Stau coannihilation: lower limit on tanβ tanβ =40

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN Stau coannihilation:

upper limit on the LSP mass

tanβ =40

Neutralino DM and τ polarization Lorenzo Calibbi

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DM phenomenology in SU(5)RN The other CMSSM “corridors” ?

  • A-pole funnel

no more upper bound on the LSP mass

  • Focus point

not present up to 5 TeV

tanβ =50

Neutralino DM and τ polarization Lorenzo Calibbi

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Neutralino DM and τ polarization Lorenzo Calibbi

Second part: τ polarization

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Tau polarization:

  • M. Nojiri, PRD 51 (1995) 6281 [hep/ph/9412374]

Neutralino DM and τ polarization Lorenzo Calibbi

Tau polarization in stau decays If

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Tau polarization in stau decays

Neutralino DM and τ polarization Lorenzo Calibbi

The same parameters which are crucial for coannihilation

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Tau polarization in stau decays

Neutralino DM and τ polarization Lorenzo Calibbi

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Tau polarization in stau decays

Neutralino DM and τ polarization Lorenzo Calibbi

1

CMSSM

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Measuring τ polarization at the ILC

  • τ has hadronic decay modes, such as τ → π ντ , ρ ντ , a1 ντ . The CM angular

distribution of decay meson (π ; v = ρ, a1 ) depends on τ polarization:

Neutralino DM and τ polarization Lorenzo Calibbi

Hagiwara, Martin, Zeppenfeld ‘90 Bullock, Hagiwara, Martin ‘91 D.P. Roy ‘92

  • ILC can determine τ polarization, using

inclusive 1-prong channel.

  • R. Godbole, M. Guchait, D.P. Roy,

PLB 618, 193, 2005.

Useful variable:

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Distinguishing SU(5)RN from CMSSM

L.C., R. Godbole, Y. Mambrini, S. Vempati in preparation

Neutralino DM and τ polarization Lorenzo Calibbi

  • τ polarization for the points lying in the stau coannihilation region
  • Polarization not able to distinguish the two models
  • Only possibility perhaps the upper limit on the neutralino-stau masses
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Distinguishing SU(5)RN from CMSSM

L.C., R. Godbole, Y. Mambrini, S. Vempati in preparation

Neutralino DM and τ polarization Lorenzo Calibbi

  • τ polarization changes sign in CMSSM, while in SU(5)RN is always positive
  • This is due to a small enhancement of the polarization in SU(5)RN, together

with the upper bound on the neutralino mass

  • At least, it is possible to exclude SU(5)RN if negative polarization is measured
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Distinguishing SU(5)RN from CMSSM

L.C., R. Godbole, Y. Mambrini, S. Vempati in preparation

Neutralino DM and τ polarization Lorenzo Calibbi

SU(5)RN MSSM

  • τ polarization changes sign in CMSSM, while in SU(5)RN is always positive
  • This is due to a small enhancement of the polarization in SU(5)RN, together

with the upper bound on the neutralino mass

  • At least, it is possible to exclude SU(5)RN if negative polarization is measured
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Neutralino DM and τ polarization Lorenzo Calibbi

Distinguishing SU(5)RN from CMSSM

L.C., R. Godbole, Y. Mambrini, S. Vempati in preparation

  • A-pole funnel region: we cannot distinguish CMSSM and SU(5)RN using the

channels above

  • In SU(5)RN a channel forbidden in CMSSM is open: lightest stau decaying in

the second neutralino. This is again a consequence of the GUT enhancement

  • f the stau mass
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Summary

  • In CMSSM, some peculiar relations among parameters are needed to have

the correct relic density

  • GUT running and/or presence of RH neutrinos can destabilize such

relations

  • In SU(5)RN relic density requirements put severe constraints on the

allowed range of tanβ ( > 35); coannihilations branch shows a peculiar phenomenology and upper bound on the LSP mass in some regions of the parameter space

  • The polarization of the τ from the decay of the staus can be measured at

the ILC

  • In the stau coannihilation region τ polarization can distinguish between

CMSSM and SU(5)RN. The difference is a pure GUT effect

  • In the A-funnel region of SU(5)RN, the decay

is possible, while it is kinematically forbidden in CMSSM.

Neutralino DM and τ polarization Lorenzo Calibbi