Non-universal SUGRA Signals at the LHC

Transcription

1 Non-universal SUGRA Signals at the LHC Selections from the Cosmo Secret Cube Catalogue Transformer Cube Standard odel Cube PPC Cube Premiere Props Teruki Kamon, and Bhaskar Dutta itchell Institute for Fundamental Physics and Astronomy, Texas A& University WCU Collider Physics Research, Kyungpook National University Inclusive PPC collaborators: Allahverdi, Arnowitt, Bornhauser, Flanagan, # Gurrola, * Kolev, Krislock, * Lahanas, avromatos, Nanopoulos, Oh, Sinha, Toback, Wang * HEP Seminar Korea Institute for Advanced Study (KIAS, Korea November, PPC at the LHC OUTLINE 3 SUSY & Dark atter Particle Physics & Cosmology Projects Search for cosmologically consistent collider (C 3 signals 3 Tevatron to LHC GOAL OF PROJECTS Developing a technique to test a minimal SUSY framework (e.g., msugra at the LHC: a To measure SUSY masses; b To determine model parameters; c To extract (amount of the dark matter Expanding to non-minimal SUSY scenarios (e.g. non-universal SUGRA models Further expansion to non-susy scenarios

2 Cosmological Connection: D Astrophysics 3% CD = Neutralino ( ~ SUSY S Neutralinos Sleptions Squarks SUSY SUSY is an interesting class of models to provide a weakly interacting massive neutral particle ( ~ GeV. 3 Probing 7 sec. after Big Bang LHC Now PPC cube ~38, years CB ~. seconds annihilation combination 4

3 Number density (n dn 3Hn v dt n Cross section ( SUSY asses (at the LHC ~ h n eq +. ann +. D (SUSY masses h H /[ kms Co-annihilation (CA Process (Griest, Seckel 9 5 pc ] any parameters SUSY Philosophy SS more than parameters Impossible to have more than measurements at the LHC Few parameters Let s consider a way to test a minimal scenario, first. Then, expand to non-minimal scenarios. inimal scenario = msugra Four parameters plus one sign. m / = common mass for spin ½ particles at GUT m = common mass for spin particles at GUT and tan A,, sign of. So the dark matter content can be expressed as: ~ h D (SUSY masses D ( m,m/, tan, A 6

4 Probe etric at the LHC We review msugra cases first, followed by a non-universal SUGRA case. E inimal SUGRA ~ h A D ( m, m/,tan, LHC Future Collider Non-Universal SUGRA ~ h D m,tan, A, ( / Tevatron Precision 7 dn dt PPC Projects at a Glance 3Hn * Graduate student, # REU student dn v n n eq 3Hn v dt ( n n eq S (extra time-dependence [Case ] Coannihilation (CA Region Arnowitt, Dutta, Gurrola, * Kamon, Krislock, * Toback, PRL (8 38 For earlier studies, see Arnowitt et al., PLB 649 (7 73; Arnowitt et al., PLB 639 (6 46 [Case ] Over-dense Dark atter Region Dutta, Gurrola, * Kamon, Krislock, * Lahanas, avromatos, Nanopoulos PRD 79 (9 55 [Case 3] HB/Focus Point Region Arnowitt, Dutta, Flanagan, # Gurrola, * Kamon, Kolev, Krislock * (SUSY9 [Case 4] Non-universality Dutta, Kamon, Kolev, Krislock, * Oh, submitted to PRD [arxi:8.338] [Case 5] LFV Allahverdi, Bornhauser, Dutta, Kamon, Krislock, * [Case 6] irage Dutta, Kamon, Krislock, * Sinha, Wang * [Case 7] Dutta, Kamon, Krislock, * Sinha, 8

5 Review: 3 msugra Cases tan = 4 A =, > 3 HB/Focus Point Region m (GeV c Note: g data may still be controversial. Over-dense D Region a b m / (GeV Excluded by a Rare B decay b s b No CD candidate 3 c uon magnetic moment Coannihilation (CA Region 9 Case : msugra Co-Annihilation Rouzbeh Allahverdi, Bhaskar Dutta, Yudi Santoso arxiv:9.439 CDS II Finding Smoking Gun(s Kinematical Templates Teruki Kamon PPC at the LHC

6 msugra CA Bentchmark Point Arnowitt, Dutta, Gurrola, * Kamon, Krislock, * Toback, PRL (8 38 For earlier studies, see Arnowitt et al., PLB 649 (7 73; Arnowitt et al., PLB 639 (6 46 m / = 35 =, tan =4 A =, > Excesses in 3 Final States: E T miss + 4j ; E T miss + j+; E T miss + b +3j = 5%, f fake = % for p T vis > GeV easure SUSY masses D p Identify smoking-gun signal(s and kinematical variables in a benchmark model. Prepare kinematical templates by changing one mass at a time. (ISAJET/PYTHIA+PGS4 Determine the model parameters.3 (DarkSUSY

7 Smoking Gun Signal and Template [*] taus with p T > 4 and GeV Identify smoking-gun signal(s and kinematical variables in a benchmark model. Prepare kinematical templates by changing one mass at a time. (ISAJET/PYTHIA+PGS4 peak 3 f (, ~, ~ Good kinematical template ore Templates [*] eff E T j +E T j +E T j3 +E T j4 + E T miss [No b jets; b ~ 5%] insensitive for 3 rd generation squarks [*] j Jets with E T > GeV q ~ L 66 GeV 84 GeV We identified 6 kinematical distributions for 5 masses. e.g., = f (SUSY masses 4

8 ~ ~ 6 5;.6. q L g ~ g ~ 748 5; / / ~ ~ SUSY asses & h easure SUSY masses ( fb - Inverting Eqs. g ~ ~ 83 ; 4 9; 3.. ( theory ( theory 5.9 [] Established the CA region by detecting low energy s(p T vis >GeV [] easured 5 SUSY masses and tested gaugino universality at ~5% ( fb - % (5% with (5 fb - Determine the benchmark model parameters D ( m,m/, tan, A ~ h h 5 fb L= fb. Teruki Kamon PPC at the LHC 5 m (GeV msugra Report Card on h a tan = 4 A =, > c b g~ tt ~ ( Wb( Wb( ll ~ ( jjb( jjb( ll ~ B. Dutta Talk at SUSY 9 June 9 ~ h ~ bb ~ m / (GeV ~ Excluded by a Rare B decay b s b No CD candidate 3 c uon magnetic moment 3 ~ PRD 79 (9 55 ~ PRL (8 38 Smoking-gun signal in early stage of LHC h h 5 fb - h h h h ~ 8% 3 fb - 5 fb - fb - ~ 9% ~ 5% Teruki Kamon PPC at the LHC 6

9 Case 4: Non-Univ. SUGRA Dutta, Kamon, Kolev, Krislock, * Oh Submitted to PRD [arxi:8.338] msugra: Unified masses at the GUT scale Parameters : m /, A, tan, sign( (* Good enough to confirm that the dark matter is the SUSY weakly interacting neutral particle. nusugra: Unified masses at the GUT scale, except Higgs Parameters : m /, A, tan, (m H (* small makes neutralino Higgs-like annihilation cross section is large enough to have right amount of dark matter today. [Q] Is a cosmological measurement possible for non-minimal case? 7 Probe etric at the LHC We review msugra cases first, followed by a non-universal SUGRA case. E inimal SUGRA ~ h A D ( m, m/,tan, LHC Future Collider Non-Universal SUGRA ~ h D m, m,tan, A, ~ ( / Tevatron Precision 8

10 nusugra (cont d Start with over-abundance (x region in msugra(case # [ e.g. / = 5 = 36 Hu = 36, =64 ] Reduce (Higgs coupling parameter by increasing m Hu [ e.g. / = 5 = 36 Hu =m Hd = 73 ( = 37 ] Extra contributions to h ore annihilation Less abundance Normal values of h 9 nusugra Benchmark Point m = 36 / = 5 H = 73, = 37, A =, tan = 4.5 pb and. 3 Find smoking gun signals 4 Technique to calculate h

11 Smoking Gun Signals Next page Non-UU Case SSC ~ ~ W 4%. 4% ~ 58% 98% ~ ~ 9% 99% Bi-Event Subtraction Technique (BEST Dijet mass distribution for any two-jet pairs in the event. Dijet mass distribution for any two-jet pairs in the mixed events. BG-subtracted Dijet mass distribution has still residual BG, butuch easier to extract the W s. Clearly we can see the W events and sideband BG. Powerful tool to remove combinatorial background

12 Start with JW E miss T > 8 GeV; N(J> with E T > GeV; E miss T + E J T + E J T > 6 GeV & N(j> with p T > 3 GeV N(b> with p T > 3 GeV N( = with p T > GeV & BEST to extract W s Note there might be b-jets and/or -jets in event, but not counted as J nor j. True = 74 GeV ( +/ [Vetoing events with any s with p T > GeV] True = 739 GeV ( 4 Endpoint = 774 GeV True = 739 GeV ( 4 JW 3 JW, shifting with m Hu Endpoint = 774 GeV True = 739 GeV ( Endpoint = 856 GeV True = 83 GeV ( +/- 83 Endpoint = 9 GeV True = GeV ( +/- m / -m -m Hu h...46 JW (q~ + W+ 74 (Br=.*.4 83 (.3* (.57*.3 JW (q~ + W+ h 77 (.46*.9 65 (.35* (.87*.3 JW (q~ + W+ 3 Z 65 (.46*.8*.46 N/A (.35*. N/A (.87*. JW (q~ 4 W (.4* (.9* (.53*.56 gluino u L, u R 3, 78, 77, 76 +, + 9, 47 39, ,5 ~ 4 99, 93, 36, 43, 38, 368, 445 5, 375, 48, 5 4

13 Observable # Classical kinematical variable to probe a SUSY scale eff E T j +E T j +E T j3 +E T j4 + E T miss [No b jets; b ~ 5%] eff p T,jet E T p T,jet eff p ( m / T,jet3 p T,jet4 5 Observables #, #3 JW ( m JW q ~ L ( m H ~,4 / ~, ~ J ( m J ( m / q ~ ~ ~ L. R, ( m H u 6

14 Observables #4, #5 ( m ( m ~ ~ ~ /, A, ( m H u J ( m J q ~ L. R ( m ~ / ~, A, ( m H u, tan 7 Extraction of odel Parameters Observable odel Parameters peak eff m / end JW m / H peak J m / H end m / H, A end J m / H, A, tan 8

15 h ( Base point : m = 36 / = 5 H = 73, A =, tan = 4 (* (* we assume an jet energy scale uncertainty of 3%. Statistical Contour fb fb 9 Test of BEST at 7 TeV _ Dijet invariant mass distribution for tt in 7 TeV pp collisions with fb -. BEST can be applied to the LHC data at 7 TeV. _ 3

16 Tevatron to LHC remark efcolliders/lhc/ 3 Remark: PPC Interconnection between Particle Physics and Cosmology PPC at CERN, June 4-8 PPC at??? Teruki Kamon 3

17 Summary Developing a technique to test msugra and non-universal SUGRA at the LHC: a To measure SUSY masses; b To determine model parameters; c To extract (amount of the dark matter BEST may be a powerful tool to extract W in all hadronic final state. Further expansion to non-susy scenarios Enjoy with the CS data!!! 33 Backups Teruki Kamon PPC at the LHC 34

18 SUSY ass Techniques Christopher Lester et al., ICHEP, arxiv:4.73 issing momentum Few eff, H T assumptions shat min TGEN T / CT T (with kinks T / CT ( parallel / perp T / CT ( subsystem Polynomial constraints ulti-event polynomial constraints Whole dataset any variables assumptions ax Likelihood / atrix Element 35 Elegant(? SUSY World Universality Very simplified diagram Higgs Slepton Neutralino & Chargino Gluino & Squark This model framework describes all SUSY masses with four parameters plus one sign. m / = common mass for spin ½ particles at GUT m = common mass for spin particles at GUT and (tan A,, sign of. So the dark matter content can be expressed as: ~ h D (SUSY masses D ( m,m/, tan, A 36

19 m ass of Squarks and Sleptons Excluded Allowed Region Higgs ass ( h Higgs > 4 GeV Branching Ratio b s.x 4 <Br(bs <4.5x 4 agnetic oment of uon (g : 3 deviation from S ass of Gauginos m / CD allowed region? 37 m ass of Squarks and Sleptons Cosmologically Allowed Region Excluded ass of Gauginos m / Higgs ass ( h Branching Ratio b s agnetic oment of uon CD allowed region. 6 ~ h. Co-annihilation (CA Process (Griest, Seckel 9 What are the signals from the narrow coannihilation corridor? 38

20 y CS Programs The PPC projects help me to define my CS programs. CS Detector Performance Physics Objects Physics Analyses (7 TeV, pb - Program Hadron Calorimeter Commissioning ET onitoring ET (CS ET co-convener Jets + ET onitoring Early-LHC Analysis Projects (U.S. CS Jets+ET Topology co-convener, 7- Inclusive search using m T Physics Analyses (-4 TeV, fb - Understanding, b, W state Excess in Jets+ET Final State ass easurements & Discovery 39 y - Plan Work on an inclusive search in Jets + ET using m T arxiv:97.73v Alan J. Barr and Claire Gwenlan tt QCD Z If we see an excess, we could estimate a mass of the dark matter particle assuming this is SUSY. 4

21 B s Inclusive m T 3 3 ET + jets + X WCU Projects Rouzbeh Allahverdi, Bhaskar Dutta, Yudi Santoso arxiv:9.439 CDS II Excluded by a Rare B decay b s b No CD candidate 3 c uon magnetic moment 4