Interconnection between Particle Physics and Cosmology at the LHC

Transcription

1 Interconnection between Particle Physics and Cosmology at the LHC Selections from the Cosmo Secret Cube Catalogue Transformer Cube Standard Model Cube PPC Cube Premiere Props Teruki Kamon Mitchell Institute for Fundamental Physics and Astronomy Texas A&M University & WCU Collider Physics Research Kyungpook National University KPS Meeting Busan, Republic of Korea October 19 th, 2011 PPC at the LHC 1

2 OUTLINE Summary 3 1) Where? LHC & Detectors 2) Why? Dark Matter and SUSY 3) How? SUSY Searches Prologue It has been 13.8 B years, since the LHC machine was set up. The machine finally started providing proton-proton collisions at a center-of-mass energy of 7 TeV on March 30, 2010 and became the energy frontier machine to lead discoveries of new particles. The Standard Model (SM) is currently well tested up to ~100 GeV, but is expected to break down in the TeV domain where new physics should occur. This is precisely the domain that we will study at the LHC. 2

3 LHC at CERN 27 km ring 3

4 Physics with Dark Matter Ingredients for Particle Physics with DM Candidate 1) Solution for a structural defect in the Higgs sector 2) Grand Unification 3) 4) Dark matter candidate A key to interconnection between particle physics and cosmology New Physics at the LHC? 1) Supersymmetry (SUSY)? 2) Universal Extra Dimension (UED)? 3) Littlest Higgs with T parity (LHT)? 4) 4

5 Supersymmetrized Standard Model ( democratic solution between Fermions and Bosons) where M SUSY is at TeV scale for three aspects. An elegant solution to solve the problem associated with the Higgs mass + Beautifully connecting the Standard Model with an ultimate unification of the fundamental interactions Cosmologically consistent with the lightest neutralino ( ~ 0 χ 1 ) as dark matter candidate The LHC is the machine to probe the TeV scale. 5

6 Dark Matter and SUSY LHC Now CMB ~ seconds annihilation combination Probing 10-7 sec. after Big Bang 6

7 dn dt Dark Matter Content = 3Hn σ v Number density (n) Ω ( 2 2 n ) n eq Cross section (σ) Co-annihilation (CA) Process (Griest, Seckel 91) SUSY Masses (at the LHC) Ω ~χ 0 1 h 2 h = D (SUSY masses) H / [100 km s Mpc 1 1 ] 2 Ω h 7 0.1

8 Elegant(?) SUSY World 8

9 SUSY Philosophy Many parameters MSSM more than 100 parameters Impossible to have more than 100 measurements at the LHC Few parameters Let s consider a way to test a minimal scenario, first. Then, expand to non-minimal scenarios. Minimal scenario = msugra = D (SUSY masses) = D ( m0,m1/2, tan, A0 ) 2 Ω ~ χ 0h β 1 9

10 Probe Metric at the LHC We test msugra cases first, followed by a non-universal SUGRA case. Minimal SUGRA E Ω 2 ~ 0h A χ 1 = D ( m0, m1/2,tanβ, 0 ) LHC Future Collider Non-Universal SUGRA 2 Ω ~ 0h = D m, m,tanβ, A, µ ) 1 χ ( 0 1/2 0 Tevatron Precision 10

11 SUSY with Universality Very simplified diagram (spin ½) (spin 0) Universality Higgs Slepton Neutralino & Chargino Gluino & Squark 1) M Higgs > 114 GeV 2) M chargino > 104 GeV 3) 2.2x10 4 <Br(b s γ) <4.5x10 4 4) (g 2) µ : 3 σ deviation from SM 2 5) Ω ~ h < < χ 0 1 Four parameters plus one sign: m 1/2 = common mass for spin ½ particles at M GUT m 0 = common mass for spin 0 particles at M GUT and tanb, A 0, sign of m So the dark matter content can be expressed as: 2 Ω ~ χ 0h β 1 = D (SUSY masses) = D ( m0,m1/2, tan, A0 ) 11

12 Allowed Region m 0 Mass of Squarks and Sleptons Excluded Higgs Mass (M h ) Branching Ratio b sγ Magnetic Moment of Muon Mass of Gauginos m 1/2 CDM allowed region? 12

13 Cosmologically Allowed Region m 0 Mass of Squarks and Sleptons Excluded Mass of Gauginos m 1/2 Higgs Mass (M h ) Branching Ratio b sγ Magnetic Moment of Muon CDM allowed region Co-annihilation (CA) Process (Griest, Seckel 91) What are the signals from the narrow coannihilation corridor? 13

14 Excluded by 1) a Rare B decay b sγ 2) b No CDM candidate 3) c Muon magnetic moment Cube Approach Rouzbeh Allahverdi, Bhaskar Dutta, Yudi Santoso arxiv: CDMS II Stau - neutralino co-annihilation scenario (e.g., Arnowitt, Dutta, Gurrola, Kamon, Krislock, Toback, PRL100 (2008) ) 14

15 PPC Projects Experiment-Theory (ET) Collaboration Develop technique(s) a) To extract key final states; b) To measure SUSY masses in a minimal framework; c) To determine model parameters; d) To extract Ω (amount of the dark matter) at the LHC; Ω SUSY Ω DM e) To expand to non-minimal scenarios; f) To expand to non-susy scenarios (e.g., UED); and carry out at ATLAS and CMS! Today s Focus: Missing E T + Jets Final States 15

16 Approach ~ 0 χ 1 p (a)measure SUSY masses (b)determine the benchmark model parameter Ω 0.23 Ω = 0.23 Ω 0.23 Identify smoking-gun signal(s) and kinematical variables in a minimal benchmark model. Prepare kinematical templates by changing one mass at a time. PRL100 (2008) fb 1 10 fb 1 δωh 2 Ωh 2 ~ 5% non-minimal case(s) PRD 82 (2010)

17 PPC Projects at A Glance Phys. Lett. B 505 (2001) 161 (Tevatron) Phys. Lett. B 538 (2002) 121 (Tevatron) Phys. Lett. B 611 (2005) 223 (ILC) Phys. Lett. B 618 (2005) 182 (ILC) 1 Eur. Phys. J. C46 (2006) 43 (LHC+ILC) Supersymmetry Parameter Analysis: SPA Convention and Project Phys. Lett. B 639 (2006) 46 (LHC) Phys. Lett. B 649 (2007) 73 (LHC) Phys. Rev. Lett. 100 (2008) (LHC) 2 Phys. Rev. D 79 (2009) (LHC) Phys. Rev. D 82 (2010) (LHC) 3 Phys. Lett. B 703 (2011) 475 ( BEST at LHC) [General conclusion] Lots of data are needed to calculate the dark matter content. We first find smoking gun signal(s) in early stage of the LHC. 17

18 July 2011 Case1: B s µµ Our PPC phenomenology paper [Phys. Lett. B 538 (2002) 121], followed by CDF papers. 18

19 Prospects for B s µµ CMS LHCb Summer result Summer result CMS+LHCb: Interesting to see the results from the entire 2011 data. CDF: See Prof. Satoru Uozumi s talk. 19

20 Case 2: MET + Jets + Taus Phys. Lett. B 639 (2006) 46 Phys. Lett. B 649 (2007) 73 Phys. Rev. Lett. 100 (2008) Finding Smoking Gun(s) 20

21 ϕ J 2 J 5 J 7 J1 Looks like this J6( τ ) J 3 J4 η p T η φ MC Truth J u (p T = GeV) J Rad. b (p T = 79.9 GeV) + others J s (p T = 96.7 GeV) J cbar (p T = 93.9 GeV) J b (p T = 79.5 GeV) J τ (p T = 144 GeV) J Rad. s (p T = 30.6 GeV) µ τ + (p T = 15.6 GeV) µ + (p T = 5.85 GeV) τ ρ ν π π π γγ τ J 5 J 7 J 2,µ J1 J 3, J4 J6( τ ) 0 + pp u ~ R ( ~ )( ) 0 ~ χ u b b ( ~ )( ) 0 u ~ + χ1 ( χ 2 t ) b ( ~ )( ) 0 u ~ 0 + χ1 ( χ 2W ) ( W b ) b ( ~ u)( ( ~ sc) ( sc b ) b) 0 + χ1 τ 1 τ ( ~ u)( ( ~ sc) ( sc b ) b) χ χ τ τ 1 g ~ 1 1 2

22 CMS has: 1) An excellent tracking system with good calorimeter and muon systems. 2) A powerful Particle-Flow algorithm in place. 3) A robust tau ID in large PU and large jet multiplicity environments. This allows us to develop an analysis tool to extract signal in jets + MET final state: See Dr. Jieun Kim s talk on CMS data 22

23 Case 3: MET + Jets + W(s) Phys. Rev. D 82 (2010) (LHC) Phys. Lett. B 703 (2011) 475 ( BEST at LHC) Non-U - UmSUGRA SSC ~ ~ 0 χ ± 1 W ± χ1 42% 2. 4% ντ~ 1 58% 98% ~ 0 χ ττ~ 92% 99% 2 1 The W rate is enhanced. Next page 23

24 Detection of W jj Bi-Event Subtraction Technique pp t t + j + ( W b) ( W b ) + j j Phys. Lett. B 703 (2011) l ν j pp W + jjjj l ν BEST: jet mixing from two different events (TTbar, TTbar), (TTbar,W), (W,W) = 24

25 BEST in TTbar m jj m bw Good agreement W mass Top mass 25

26 Potential Applications 26

27 Future BEST in SUSY m jj m jw?? 27

28 PPC Projects LHC: Experiment-Theory (ET) Collaboration 28

29 About PPC Cube Interconnection between Particle Physics and Cosmology TAMU U. of New Mexico U. of Oklahoma Torino/INFN PPC 2011 at CERN, June PPC 2012 at??? PPC Cube 29

30 Summary CSI: Cosmology at the LHC Collider Scene Investigation LHC keep going! 1) Cosmologically Consistent Collider (C 3 ) signals at LHC 2) Dark matter detection at CDMS II, XENON100, KIMS, 3) Dark matter annihilation signals at FERMI LAT, AMS2, 30