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Dark Matter Mass Constrained by Relic Abundance, Direct Detections, and Colliders

Ho-Chin TsaiCYCU2013/03/22 Academia Sinica

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1301.4186In coll. with Kwei-Chou Yang

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Outline

Introduction

Relic Abundance

Di-Jet

Mono-Jet

Direct Detection

Collider

Conclusions

Constraints

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Introduction of Dark Matter• DM evidence

• Wimp Miracle

• What Collider can do

• Dimensional Analysis

• Model Study

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DM

DM SM

SM

Indirect detectionRelic

Direct detectionCollider

ΩDMh2=0.12

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Lagrangian

• Fermionic dark matter with a mediator Y

• Annihilation

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~ 0.1

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Relic

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Perturbativity

Color code : Magenta Green Blue

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Relic

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StatusProgressOutlookTAUP 2011 München, September 7, 2011 V. ZacekUniversitéde Montréal PICASSO

Direct Detection Experiment

No signal Assume interaction typethen inverse the flux toget cross section bound

Mole number, E_R ~100 keV

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Nucleus Size ~40 MeV

Proton200 MeV

X-section Calculation

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DM particle

Mediator ~100 GeV

momentum transferred ~100MeV

Quark level Nucleon level(Hadronic Matrix element ) Nuclear(form factor)

H.Y. Cheng

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D-N Elastic Cross-section

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Suppression factor1

10^-2

10^-6

10^-10

with m_D = 100 m_N

Dark SUSY

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Relic+Direct Detections

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Relic+Direct Detections

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relic

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mY=100, 500, 1000, 4000 GeV

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mY=100, 500, 1000, 4000 GeV

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Collider

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Collider can do better than direct detection with heavy mediator and light DM more better when momentum suppression interaction

Reduced mass ~1GeV

Relic Direct Detection

Collider

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In-visible Y

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proton

proton

jet

χ χ

g*ū

uu

Y*,Y

Available Mono-Jet searches:• CMS 36 pb−1• ATLAS 1 fb−1: LowPt, HighPt and veryHighPt

SM BG p p j Z j v v , 2 to 2 process

• VeryHighPT: 7 TeV, 1fb-1• missing ET > 300GeV, missing pT j1 > 350GeV

• σ1j < 0.045pb 1202.0158 ATLAS

MadGraph 5

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Effective Cut-off Scale

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Xenon100 Mono-Jet Perturbativity Relic

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In Effective Cut-off Scale

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RelicXenon100 PerturbativityMono-Jet

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Dijet Resonances Search1. Find resonance on smooth QCD background 2. Bin data for search efficiency 3. Unphysical if resonance width < energy resolution 4. Best bin width slightly bigger than energy resolution due to particle decay width5. Narrow width: can be applied to particle decay width < energy resolution

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Upper Limit for Y

1107.4771

CDF 0812.4036 260 - 1400 GeVCMS 1107.4771 1000 - 4100 GeV ATLAS 1108.6311 900 - 4000 GeVTake Y width < 0.1 mY ~ resolution

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Visible Y CDF CMSDi-Jet

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Only constrainnot cases of

mY=100, 300, 500, 700 GeV mY=500, 1000, 1500, 1000 GeV

Find Y to claim dark matter exist.

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Relic+Direct Detections+Colliders

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Relic + Direct

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Visible Y CDF CMS Di-Jet

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mY=100, 300, 500, 700 GeV mY=500, 1000, 1500, 1000 GeV

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Relic+Direct Detections+Colliders

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Relic + Direct

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Y width

Narrow width

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Conclusions• Study fermionic DM mediated by scalar particle universally to

the SM quarks.• Restrict mass relation by the relic abundance, direct

detections, and mono-jet and di-jet search at collider. • A pseudo-scalar mediator comfort relic and direct detection

due to momentum suppression.• Mono-jet for invisible Y search is limited by DM mass and

relevant on PS, PP case only.• Di-jet for visible Y search is powerful, relevant on PS, PP case,

stronger than dark matter direct detection in constraint.• DM search might be near if Y were found.

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Thank you.

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Di-Jet Visible Y Search

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