Dark Matter Mass Constrained by Relic Abundance, Direct Detections, and Colliders Ho-Chin Tsai CYCU 2013/03/22 Academia Sinica 3/22/13 Ho-Chin Tsai In coll. with Kwei-Chou Yang

Outline IntroductionRelic Abundance Di-Jet Mono-Jet Direct DetectionColliderConclusionsConstraints 3/22/13 Ho-Chin Tsai 2

Introduction of Dark Matter DM evidence Wimp Miracle What Collider can do Dimensional Analysis Model Study 3/22/13 Ho-Chin Tsai 3 3 DM SM Indirect detection Relic Direct detection Collider Ω DM h 2 =0.12

Lagrangian Fermionic dark matter with a mediator Y Annihilation 3/22/13 Ho-Chin Tsai 4 ~ 0.1

Relic 3/22/13 Ho-Chin Tsai 5 Perturbativity Color code : Magenta Green Blue

Relic 3/22/13 Ho-Chin Tsai 6

3/22/13 Ho-Chin Tsai 7 StatusProgressOutlookTAUP 2011 München, September 7, 2011 V. ZacekUniversitéde Montréal PICASSO Direct Detection Experiment No signal Assume interaction type then inverse the flux to get cross section bound Mole number, E_R ~100 keV

Nucleus Size ~40 MeV Proton 200 MeV Proton 200 MeV X-section Calculation 3/22/13 Ho-Chin Tsai 8 DM particle Mediator ~100 GeV momentum transferred ~100MeV Quark level  Nucleon level(Hadronic Matrix element )  Nuclear(form factor) H.Y. Cheng

D-N Elastic Cross-section 3/22/13 Ho-Chin Tsai 9 Suppression factor 1 10^-2 10^-6 10^-10 with m_D = 100 m_N Dark SUSY

Relic+Direct Detections 3/22/13 Ho-Chin Tsai 10

Relic+Direct Detections 3/22/13 Ho-Chin Tsai 11 relic

mY=100, 500, 1000, 4000 GeV 3/22/13 Ho-Chin Tsai 12

mY=100, 500, 1000, 4000 GeV 3/22/13 Ho-Chin Tsai 13

Collider 3/22/13 Ho-Chin Tsai 14 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

In-visible Y 3/22/13 Ho-Chin Tsai 15 proton jet χ χ g* ū u u 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 E T > 300GeV, missing p T j1 > 350GeV σ 1j < 0.045pb ATLAS MadGraph 5

Effective Cut-off Scale 3/22/13 Ho-Chin Tsai 16 Xenon100Mono-Jet Perturbativity Relic

In Effective Cut-off Scale 3/22/13 Ho-Chin Tsai 17 Relic Xenon100PerturbativityMono-Jet

3/22/13 Ho-Chin Tsai 18 Dijet Resonances Search 1.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 width 5.Narrow width: can be applied to particle decay width < energy resolution

3/22/13 Ho-Chin Tsai 19 Upper Limit for Y CDF GeV CMS GeV ATLAS GeV Take Y width < 0.1 mY ~ resolution

Visible Y CDF CMS Di-Jet 3/22/13 Ho-Chin Tsai 20 Only constrain not cases of mY=100, 300, 500, 700 GeV mY=500, 1000, 1500, 1000 GeV Find Y to claim dark matter exist.

Relic+Direct Detections+Colliders 3/22/13 Ho-Chin Tsai 21 Relic + Direct

Visible Y CDF CMS Di-Jet 3/22/13 Ho-Chin Tsai 22 mY=100, 300, 500, 700 GeV mY=500, 1000, 1500, 1000 GeV

Relic+Direct Detections+Colliders 3/22/13 Ho-Chin Tsai 23 Relic + Direct

3/22/13 Ho-Chin Tsai Y width Narrow width

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. 3/22/13 Ho-Chin Tsai 25

3/22/13 Ho-Chin Tsai 26 Thank you.

Di-Jet Visible Y Search 3/22/13 Ho-Chin Tsai 27