Lecture 12: SUSY3. 1

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1 Lecture 1: SUSY3 Department of Physics and Astronomy Texas A&M University & Department of Physics Kyungpook National University 1 So far

2 Recaps Lec 0: IceCube (HW 01) Lec 1: Introduction PPC, Higgs and SUSY Lec : Higgs Mechanism Lec 3: Higgs production and decay at the LHC Lec 4: Higgs searches at CMS Lec 5: Collider detectors (and CMS) Lec 6: CMS ECAL Lec 7: CMS ECAL (review) (HW 0) Lec 8: Interconnection Lec 9: Direction Detection Experiments Lec 10: SUSY (Part 1) Lec 11: SUSY (Part ) B s 3 Pheno Projects at A Glance Phys. Lett. B 505 (001) 161 (Tevatron) Phys. Lett. B 538 (00) 11 (Tevatron) Phys. Lett. B 611 (005) 3 (ILC) Phys. Lett. B 618 (005) 18 (ILC) Eur. Phys. J. C46 (006) 43 (LHC+ILC) Supersymmetry Parameter Analysis: SPA Convention and Project B s CDF PRL 107 (011) SUSY Jets+MET+Taus at LHC7 CMS SUS PAS CMS SUS Paper (in preparation) Phys. Lett. B 639 (006) 46 (LHC14) Phys. Lett. B 649 (007) 73 (LHC14) Phys. Rev. Lett. 100 (008) 3180 (LHC14) Phys. Rev. D 79 (009) (LHC14) Phys. Rev. D 8 (010) (LHC14) M(top) mass (SKKU + TAMU) Focus Point (unpublished) attempted to reconstruct two tops Phys. Lett. B 703 (011) 475 ( BEST at LHC7) Phys. Rev. D 85 (01) (Mirage at LHC14) Phys. Rev. D 86 (01) (LFV at LHC14) Phys. Rev. D 86 (01) (Stops via Tops at LHC8) arxiv: VBF 4

1/ = Common gaugino mass at M GUT m 0 = Common scalar mass at M GUT A 0 = Trilinear

3 msugra Overview 5 Minimal Supergravity (msugra) Higgs Doublets + Supersymmetrized Standard Model + Universality <H u > + + <H d > tan = <H u >/<H d > at M Z (spin ½) m 1/ = Common gaugino mass at M GUT m 0 = Common scalar mass at M GUT A 0 = Trilinear couping at M GUT (spin 0) sign()= sign of in H u H d (We choose > 0 and A 0 = 0 for simplicity.) 6

4 In the SUSY World Universality allows us to simplify the SUSY world in a D plane (m 0 m 1/ ).? Higgs Slepton Neutralino & Chargino Gluino & Squark 1) M Higgs > 114 GeV ) M chargino > 104 GeV 3).x10 4 <Br(bs ) <4.5x10 4 4) (g) : 3 deviation from SM 5) 7 Power of Universality m m 1/ 0 for for gaugino squarks masses and sleptons ~ ~ ) (, ) ( ~ 0 (,, ~ 1 t1 m1/ m 0 1 1) 8

m 0 Mass of Squarks and Sleptons Excluded Allowed Region

Muon Mass of Gauginos m 1/ CDM allowed region?

Sleptons Excluded Mass of Gauginos m 1/ ~ 0 1 Muon CDM

5 m 0 Mass of Squarks and Sleptons Excluded Allowed Region Higgs Mass (M h ) Branching Ratio b s Magnetic Moment of Muon Mass of Gauginos m 1/ CDM allowed region? 9 Cosmologically Allowed Region m 0 Mass of Squarks and Sleptons Excluded Mass of Gauginos m 1/ ~ 0 1 Higgs Mass (M h ) Branching Ratio b s Magnetic Moment of Muon CDM allowed region What are the signals from the narrow coannihilation corridor? Co-annihilation (CA) Process (Griest, Seckel 91) 10

6 3 Particle-Physics Experiments LHC e.g., KIMS Tevatron 11 Cosmologically Consistent Signals Excluded by 1) a Rare B decay b s ) b No CDM candidate 3) c Muon magnetic moment Rouzbeh Allahverdi, Bhaskar Dutta, Yudi Santoso arxiv: CDMS II 1

7 Testing the Same SUSY Model ( ) Tevatron Small M ~ 0 1 ~ LHC 13 B s 14

8 B s 15 Prediction/Result in 00/011 First -side 90%CL Limit SM Expectation 16

9 Why B s? This is one of interesting rare decays to test new physics such as SUSY: Br(B s ) SM ~ 3 x 10-9 Br(B s ) SUSY ~ Br(B s ) SM x (10 ~ 1000) Within the SM, we will not see any events even with 100 x 10 1 collisions at the Tevatron. In the SUSY models (large tan), the decay can be enhanced by up to 1,000. But the SUSY particle masses are expected to be of order of 1000 GeV. But the B s mass is ~5 GeV. How can I possibly test SUSY models using B s decays? meson 17 Power of Quantum Fluctuation = 1/134 Q low E t ( e e e e ) = 1/17 (Q ) Q high New heavy particles can be popped up in loop and this deviates from the SM expectation. 18

10 Feynman Diagrams for B s b s b s 19 Cont d b x s b b s FCNC b 0

11 FCNC in B s Br(B s ) + 1 q q Recap: Weak Isospins in the SM / 3 u c t,, 1/ 3 d s b I I w w 1/ 1/ Weak Interaction : Flavor Changing Interaction

Kobayashi-Maskawa Matrix KM is a generalization of Cabibbo-GIM for three

The weak interaction quark generations: They are related to the physical quarks

depend only on three generalized Cabibbo angles and one phase factor: Physics

12 Kobayashi-Maskawa Matrix KM is a generalization of Cabibbo-GIM for three generations of quarks. The weak interaction quark generations: They are related to the physical quarks states by Kobayashi-Maskawa (KM) matrix: for example : Canonical form of U ij depend only on three generalized Cabibbo angles and one phase factor: Physics 84, February 006 Bogdan Popescu 3 Kobayashi-Maskawa Matrix The full matrix : Using the experimental values : Physics 84, February 006 Bogdan Popescu 4

1 3 CKM Matrix in B s b t 3 s t 1 3 3 V tb transition between t and b V ts transition between t and s 5 Recap: Penguin Diagrams b W d t g t Note : those types of

13 1 3 CKM Matrix in B s b t 3 s t V tb transition between t and b V ts transition between t and s 5 Recap: Penguin Diagrams b W d t g t Note : those types of loop diagrams are very important to search effects beyond the standard model, because any undiscovered particles can contribute in the loop as a virtual state! s s 6

14 _ b s ~ ~ t Amplitude of B s(d) SUSY H/A 0 b tan 6 h cos for large M A m b b A m st ~~ bt ~~ V st ~~ bt ~~ mt s sin L b mt Vts s sin tb tan /cos mb b cos R L A 0 ms s cos mt mb bl br sin cos mt mb ms sl br s sin cos cos m m tan s b t b R L R R mt b sin L Amplitude tan 6 7 Recap: Fermi s Theory Amplitude Amplitude 8

15 CMS PAS BPH LHCb CONF B s <4.x10-9 <8.1x But, on November 01 30

16 LHCb at HCP01 B s New 31 LHCb at HCP01 B s New 3

17 NEW 33 (e.g.) Higgs Signal Strengths Marcela Carena, SUSY 01 34

Where We Stand [Light 3 rd Generation SUSY Particles] Light stop direct stop production Light stau direct EWKino production [Lightest SUSY Particles] Higgsino LSP chargino and neutralinos below 00

5539 Mixed bino-axion DM; Mixied higgsino-axion DM; Flavor DM [Testing Minimal Models] mgmsb and mamsb are ruled out; msugra : A 0 = 0 is ruled out; stau-neutralino is mostly ruled out.

18 Where We Stand [Light 3 rd Generation SUSY Particles] Light stop direct stop production Light stau direct EWKino production [Lightest SUSY Particles] Higgsino LSP chargino and neutralinos below 00 GeV, with mass splittings of order 10 GeV. It is very difficult for LHC to observe these particles. See, for example, Papucci, Ruderman, Weiler, arxiv: ; Baer, Barger, Huang, Tata, arxiv: Mixed bino-axion DM; Mixied higgsino-axion DM; Flavor DM [Testing Minimal Models] mgmsb and mamsb are ruled out; msugra : A 0 = 0 is ruled out; stau-neutralino is mostly ruled out. See, for example, Howard Baer, Vernon Barger, Azar Mustafayev, Neutralino dark matter in msugra/cmssm with a 15 GeV light Higgs scalar, JHEP 105 (01) 091, DOI: /JHEP05(01)091, e-print: arxiv: [hep-ph] [Moving to Non-minimal Models] 35 SUSY Probe Metric at LHC We test a minimal case first, followed by nonminimal cases. Minimal SUGRA E ~ 0h A 1 D ( m0, m1/,tan, 0 ) Dec 13, 011 July 4, 01 Non-Universal SUGRA ~ 0h D m, m,tan, A, ) 1 ( 0 1/ 0 Tevatron Precision 36

New to Probe h ~ 0 M1 0 M Z sw c M Z sw s M 0 M Z c M c Z W c W s M s M Z Z c W W 0 c c M Z sw s M ZcW s 0 37 Pheno Projects: Precision Cosmolgy http://faculty.physics.tamu.

Lett. B 611 (005) 3 (ILC) Phys. Lett. B 618 (005) 18 (ILC) Eur. Phys. J.

19 New to Probe h ~ 0 M1 0 M Z sw c M Z sw s M 0 M Z c M c Z W c W s M s M Z Z c W W 0 c c M Z sw s M ZcW s 0 37 Pheno Projects: Precision Cosmolgy Phys. Lett. B 505 (001) 161 (Tevatron) Phys. Lett. B 538 (00) 11 (Tevatron) Phys. Lett. B 611 (005) 3 (ILC) Phys. Lett. B 618 (005) 18 (ILC) Eur. Phys. J. C46 (006) 43 (LHC+ILC) Supersymmetry Parameter Analysis: SPA Convention and Project B s CDF PRL 107 (011) SUSY Jets+MET+Taus at LHC7 CMS SUS PAS CMS SUS Paper (in preparation) [1] Phys. Lett. B 639 (006) 46 (LHC14) [] Phys. Lett. B 649 (007) 73 (LHC14) [3] Phys. Rev. Lett. 100 (008) 3180 (LHC14) [4] Phys. Rev. D 79 (009) (LHC14) [5] Phys. Rev. D 8 (010) (LHC14) M(top) mass (SKKU + TAMU) [6] Focus Point (unpublished) attempted to reconstruct two tops [7] Phys. Lett. B 703 (011) 475 ( BEST at LHC7) [8] Phys. Rev. D 85 (01) (Mirage at LHC14) [9] Phys. Rev. D 86 (01) (LFV at LHC14) [10] Phys. Rev. D 86 (01) (Stops via Tops at LHC8) [11] arxiv: VBF 38

20 Pheno #10: Stop with M3 39 Pheno #11: VBF 40

21 Pheno #1: Stop w/ Higgsino DM 41 Introduction Prospects for SUSY Searches via VBF (8 TeV 14 TeV) Summary VBF as Colorless SUSY Probe 4

Introduction SUSY World with Lighter 3 rd Generation SUSY Particles? Light stop direct stop production Light stau direct EWKino production How to Probe Colorless SUSY Sector?

43 What to do with (i) heavy 1 st / nd generation squarks and gluino, and (ii) small M?

22 Introduction SUSY World with Lighter 3 rd Generation SUSY Particles? Light stop direct stop production Light stau direct EWKino production How to Probe Colorless SUSY Sector? 1) Tagging energetic jets (+ MET) from cascade decays ) Tagging leptons What to do with (i) heavy 1 st / nd generation squarks and gluino, and (ii) small M? 43 What to do with (i) heavy 1 st / nd generation squarks and gluino, and (ii) small M? 3) VBF ( Bhaskar Dutta, Alfredo Gurrola, Will Johns, Teruki Kamon, Paul Sheldon, Kuver Sinha Introduction SUSY World with Lighter 3 rd Generation SUSY Particles? Light stop direct stop production Light stau direct EWKino production How to Probe Colorless SUSY Sector? 1) Tagging energetic jets (+ MET) from cascade decays ) Tagging leptons 44

23 Higgs Signal Strengths SUSY Could be Production and decay rates could be deviated from the SM expectation through SUSY particles in loopinduced processes 45 SUSY VBF at the LHC pp 0 0 jj ~ ~ 1 1 jj( ~ 1 )( ~ 1 ) fb decay products 46

24 pp jjw VBF Diagrams W 1 1 pp jj ~ ~ 47 VBF Kinematics M ( j, ) p T 1 j ( j 1 ) E Large MET, large M(jj), large p T jets T Benchmark Point: 0 M( ~ 1 ) ~ M( ~ ) 180 GeV 0 M( ~ 1 ) 90 GeV 0 M( ~ ) M( ~ ) 30 GeV 1 1 Baseline VBF + MET Selection: See the next page 48

25 Baseline VBF+MET Selection jets with p 4. ; M( j 1, j T 1 (j) 50 GeV; 0 (j ) 650 GeV; MET 75 GeV p T Scenarios 1 ) 75 GeV 30 GeV 30 GeV 49 Case 1: Taus via VBF pp 0 0 jj ~ ~ 1 1 jj( ~ 1 )( ~ 1 ) 0 0 pp jj ~ ~ jj( ~ )( ~ ) 50

26 Tau Selection taus with pt 0/0 (. 1) 55%; f 1% Benchmark Point -1 5 fb 0 GeV 51 0 GeV Tau Trigger 5 GeV 30 GeV 5

27 Taus+Jets+MET S / S / S / S B S B S B Case : Muons in VBF pp 0 0 jj ~ 1 ~ 1 jj( ~ 1 )( ~ 1 ) isolated muons with pt 0/15 (. 1) 54

28 Muons+Jets+MET S / S / S / S B S B S B ( p T ) Case 1 vs. Case 0/0 (. 1) p T ( ) 0/15 (. 1) 55%; f 1% Lower p T cuts help.. 56

characteristic and almost clean signal at the LHC. 57 (e.g.) Light Stau Phenomenology arxiv:105.

29 Sleptons via VBF (at 14 TeV) ~ ~ ~ Z/ fb Z/ ~ ~ [Taken from Fig. of arxiv:9913] slepton production cross sections at 14 TeV. They are pointing out that slepton pairs produced via VBF in anomaly mediated supersymmetry breaking (AMSB) model have very characteristic and almost clean signal at the LHC. 57 (e.g.) Light Stau Phenomenology arxiv: Marcela Carena, Stefania Gori, Nausheen R. Shah, Carlos E. M. Wagner, Lian-Tao Wang 14 TeV LHC ~10 fb (VBF) Complementary Slepton Searches via VBF 58

30 (e.g.) Higgs in pmssm arxiv: Matthew W. Cahill-Rowley, JoAnne L. Hewett, Ahmed Ismail, Thomas G. Rizzo 400 Complementary Charginos/Neutralinos Searches via VBF 59 Summary Difficult to detect charginos, neutralinos, sleptons with mass splitting of order 10-0 GeV at the LHC. VBF processes: a complementary way to probe low mass colorless SUSY states at the LHC even at 8 TeV (14 TeV). We could probe charginos (sleptons) directly up to 00 GeV (~500 GeV) with 0-5 fb -1 (100 fb -1 ). VBF trigger: two forward jets with p T >~50 GeV, >~4 and M(jj) >~700 GeV. decay products 60

Interconnection between Particle Physics and Cosmology at the LHC

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