Dark Matter Searches at CMS

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1 Introduction 8 TeV searches TeV searches Summary and Outlook Dark Matter Searches at Fort Lauderdale, December 5 th nd 05 Michael Brodski on behalf of the Collaboration III. Physikalisches Institut A, RWTH Aachen University Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

2 Introduction 8 TeV searches TeV searches Summary and Outlook Introduction Dark matter - qu est-ce que c est? Theoretical considerations Experimental setup 8 TeV searches Dark matter with jets Dark matter with leptons Dark matter with heavy quarks Higgs combination TeV searches Monojet update 4 Summary and Outlook Dark Matter searches in context of SUSY not discussed Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

3 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? What is it? In the universe, there is more gravitation than can be explained by visible massive bodies The velocities of the stars in galaxies as a function of the distance to the center give us a hint that there is a lot more mass than we can see Dark matter Not visible in the detector Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

4 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? What is it? In the universe, there is more gravitation than can be explained by visible massive bodies The velocities of the stars in galaxies as a function of the distance to the center give us a hint that there is a lot more mass than we can see collider Dark matter Not visible in the detector direct indirect Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

5 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? What is it? In the universe, there is more gravitation than can be explained by visible massive bodies The velocities of the stars in galaxies as a function of the distance to the center give us a hint that there is a lot more mass than we can see collider Dark matter Not visible in the detector X direct indirect Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

6 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? What is it? In the universe, there is more gravitation than can be explained by visible massive bodies The velocities of the stars in galaxies as a function of the distance to the center give us a hint that there is a lot more mass than we can see collider Dark matter Not visible in the detector X direct indirect Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

7 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? What is it? In the universe, there is more gravitation than can be explained by visible massive bodies The velocities of the stars in galaxies as a function of the distance to the center give us a hint that there is a lot more mass than we can see collider Dark matter Not visible in the detector "Mono-Everything" X direct indirect Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

8 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter - qu est-ce que c est? Assumptions about Dark Matter Dark matter particle χ is a weakly interacting fermion (WIMP) has a mass between GeV and up to TeV is stable will not interact with the detector E miss T Interaction Historically divided in spin independent and spin dependent or scalar, vector etc. couplings Transverse energy unbalanced Colloquial abbreviations used for different Dirac (D) fermionic couplings Complex scalar couplings (C) also considered Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

9 Introduction 8 TeV searches TeV searches Summary and Outlook Theoretical considerations Two alternative Dark Matter models Two possible interaction models for dark matter to the Standard Model Model the interaction with an Effective Field Theory (EFT) q visible Assume a heavy mediator which couples to quarks q visible χγ µ χ qγ µ q Λ χ g q Z µ qγµ γ 5 q +g χ Z µ χγ µ χ χ q χ q g q Med g χ χ Allows for more model-independence {m χ, Λ} Allows for more precise simulation {g q, g χ, m χ, M med } Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

10 Introduction 8 TeV searches TeV searches Summary and Outlook Theoretical considerations log (σ EFT / σ FT ) m med (GeV) 00 0 Region I Region II Region III 0 00 m DM (GeV) In Region I both theories agree In Region II EFT underestimates the cross section In Region III EFT overestimates the cross section The difference betweet EFT and mediator models is studied arxiv: Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

11 Introduction 8 TeV searches TeV searches Summary and Outlook Experimental setup detector Very-forward Calorimeter Superconducting Solenoid Silicon Tracker Pixel Detector Preshower Hadron Calorimeter Electromagnetic Calorimeter Compact Muon Solenoid Muon Detectors Michael Brodski (RWTH Aachen) Dark Matter Searches at 7 / 4

12 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets One or two high energetic jets and missing energy E miss T Dominant backgrounds estimated from data control sample three different event topologies with up to jets veto on leptons for the final selection Monojet Mediator approach Monojet Dijet -EXO-055 Michael Brodski (RWTH Aachen) Dark Matter Searches at 8 / 4

13 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Events/GeV monojet category 9.7 fb (8 TeV) Preliminary Data Z( νν)+jets W( lν)+jets top Dibosons QCD Z( ll)+jets Vector Mediator, m = TeV, m = GeV med DM VBF+gg H inv, m =5 GeV H VH inv, m =5 GeV H Events/GeV boosted category 9.7 fb (8 TeV) Preliminary Data Z( νν)+jets W( lν)+jets top Dibosons QCD Z( ll)+jets Vector Mediator, m = TeV, m = GeV med DM VBF+gg H inv, m =5 GeV H VH inv, m =5 GeV H - - Data/Bkg. Data/Bkg miss E T (GeV) E miss T miss E T (GeV) distributions in all event topologies show agreement between data and Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at 9 / 4

14 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Events/GeV monojet category 9.7 fb (8 TeV) Preliminary Data Z( νν)+jets W( lν)+jets top Dibosons QCD Z( ll)+jets Vector Mediator, m = TeV, m = GeV med DM VBF+gg H inv, m =5 GeV H VH inv, m =5 GeV H Events/GeV boosted category 9.7 fb (8 TeV) Preliminary Data Z( νν)+jets W( lν)+jets top Dibosons QCD Z( ll)+jets Vector Mediator, m = TeV, m = GeV med DM VBF+gg H inv, m =5 GeV H VH inv, m =5 GeV H - - Data/Bkg. Data/Bkg miss E T (GeV) E miss T miss E T (GeV) distributions in all event topologies show agreement between data and Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at 9 / 4

15 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Limits on mediator model parameters g χ = g q = (GeV) m DM 00 Preliminary g =g DM Vector = SM Median Expected (µ =) up +/- Scale Uncertainty Observed LUX 9.7 fb Planck+WMAP Relic (8 TeV) up µ m (GeV) DM Preliminary g =g DM Axial = SM Median Expected (µ =) up +/- Scale Uncertainty Observed PICO-L 9.7 fb Planck+WMAP Relic (8 TeV) up µ Excluded by 4 m (GeV) med Excluded by m (GeV) med - - Cross section limit is translated into mediator mass vs. m χ limits Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

16 Introduction 8 TeV searches TeV searches Summary and Outlook ) (cm σ Dark matter with jets Limits on DM production SI Preliminary g =g DM Vector = SM -46 g χ = g q = Median Expected Observed Monojet Boosted Resolved V-tagged LUX Excluded by Spin independent 9.7 fb Mediator approach (8 TeV) -7 m (GeV) DM ) (cm σ SD Preliminary g =g DM Axial = SM Median Expected Observed Monojet Boosted Resolved V-tagged PICO-L Excluded by Spin Dependent Model parameter limits are translated into limits on the nucleon cross section 9.7 fb (8 TeV) m (GeV) DM Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

17 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Dijet search with razor variables Two or more high energetic jets and no isolated leptons along E miss T eight different event topologies with up to two muons and two (b tagged) jets use topologies with muons for data-driven background estimation M R EFT approach ( p J + p J ) (p J z + p J z ), with M R T R MR T M R E miss T (pj T + pj T ) E miss T ( p J T + p J T ) -EXO4-004 Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

18 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Events 5 W + jets Preliminary 4 Λ = TeV 8.8 fb (8 TeV) Z(νν) + jets t t + jets * Z/γ (ll) + jets Data Vu-DM m = GeV Vd-DM m = GeV Data/MC two non b jets R Razor variable All event categories show agreement between measurement and Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

19 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Λ (GeV) Preliminary Razor-0µ 90% CL limit: V EFT operator Expected limit ± σ expected limit Observed limit Λ < m χ Λ < m χ /π 8.8 fb (8 TeV) Spin independent = 80% R Λ g = eff g = eff g = 4 eff g = 4π eff Λ (GeV) Preliminary Razor-0µ 90% CL limit: AV EFT operator Expected limit ± σ expected limit Observed limit Λ < m χ Λ < m χ /π 8.8 fb (8 TeV) Spin dependent = 80% R Λ g = eff g = eff g = 4 eff g = 4π eff Excluded by M χ (GeV) Excluded by M χ (GeV) Very strong limits on the model parameter Λ are obtained for both spin dependent and spin independent cases Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

20 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with jets Limits on the model parameter Λ are translated into nucleon cross section limits ) (cm σ N-χ Preliminary Excluded by Spin Independent (χγ O V : Razor DM χ) (qγ µ Λ 8.8 fb (8 TeV) µ q) XENON 0 SIMPLE 0 COUPP 0 supercdms CDMSII LUX 0 M χ (GeV) ) (cm σ N-χ Preliminary Razor DM Spin Dependent (χγ γ µ O AV : Λ Excluded by 8.8 fb (8 TeV) χ) (qγ 5 µ γ q) IceCube W W SIMPLE 0 COUPP Super-K W W M χ (GeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

21 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons W boson decays into an electron or a muon along Dark Matter clean electron signature in the ECAL clean muon signature in the muon chambers kinematic cuts for best signal extraction Interference parameter ξ ξ = λ u λ d ξ = {, 0, } EFT approach W W Events / 0. units 7 SSM W' µ ν, W (µ,τ) ν miss M = 000 GeV 6 µ + E T tt, single t HNC CI µ ν, DY Λ = 4000 GeV 5 QCD DM, Λ = 00 GeV, M χ = 00 GeV, ξ = + Diboson 4 Data 9.7 fb (8 TeV) miss p / E T T./PhysRevD Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

22 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons W boson decays into an electron or a muon along Dark Matter clean electron signature in the ECAL clean muon signature in the muon chambers kinematic cuts for best signal extraction Interference parameter ξ ξ = λ u λ d ξ = {, 0, } EFT approach W W Events / 0. units 7 SSM W' µ ν, W (µ,τ) ν miss M = 000 GeV 6 µ + E T tt, single t HNC CI µ ν, DY Λ = 4000 GeV 5 QCD DM, Λ = 00 GeV, M χ = 00 GeV, ξ = + Diboson 4 Data 9.7 fb (8 TeV) miss p / E T T./PhysRevD Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

23 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons Events / GeV 5 SSM W' eν, W (e,τ) ν miss e + E T M = 000 GeV HNC CI eν, Λ = 4000 GeV DM, Λ = 00 GeV, M χ = 00 GeV, ξ = fb tt, single t QCD γ + jets (GeV) DY Diboson Data Syst. uncer. M T (8 TeV) Events / GeV 5 W (µ,τ) ν miss µ + E T SSM W' µ ν, M = 000 GeV HNC CI µ ν, Λ = 4000 GeV DM, Λ = 00 GeV, M χ = 00 GeV, ξ = (GeV) Transverse mass calculated from the lepton and E miss T agrees with the Standard Model prediction 9.7 fb M T tt, single t DY QCD Diboson Data Syst. uncer. (8 TeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 7 / 4

24 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons Limits on the EFT parameter Λ Limits are set on the effective field theory parameter Λ as a function of m χ 9.7 fb (8 TeV) 9.7 fb (8 TeV) Λ (GeV) miss miss e + E T, µ + E T Spin-independent Limits at 90% CL Λ = M χ /(π) Λ = M χ Λ (GeV) miss miss e + E T, µ + E T Spin-dependent Limits at 90% CL Λ = M χ /(π) Λ = M χ W+DM ξ= W+DM ξ= Monojet Monojet W+DM ξ=0 W+DM ξ=0 W+DM ξ=+ W+DM ξ=+ Excluded by Expected Observed Excluded by Expected Observed M χ (GeV) M χ (GeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 8 / 4

25 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons ) χ-proton σ (cm Expected Observed Limits at 90% CL W+DM ξ=+ W+DM ξ=0 monojet ξ=+ 9.7 fb Spin-independent (8 TeV) ) χ-proton σ (cm Expected Observed Limits at 90% CL W+DM ξ=+ W+DM ξ=0 monojet ξ= 9.7 fb Spin-dependent (8 TeV) -40 monojet ξ= -40 W+DM ξ= monojet ξ=+ -4 W+DM ξ= M χ (GeV) -4 M χ (GeV) The limits on Λ are then translated into the nucleon cross section limits Michael Brodski (RWTH Aachen) Dark Matter Searches at 9 / 4

26 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons Z boson decays into a lepton pair along Dark Matter clean dielectron signature in the ECAL clean dimuon lepton signature in the muon chambers kinematic cuts for best signal extraction, veto on b jets q EFT approach Z l l + χ q Z l l + χ χ q Z l l + χ χ q χ g q g q arxiv: Michael Brodski (RWTH Aachen) Dark Matter Searches at 0 / 4

27 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons Z boson decays into a lepton pair along Dark Matter clean dielectron signature in the ECAL clean dimuon lepton signature in the muon chambers kinematic cuts for best signal extraction, veto on b jets q EFT approach Z l l + χ q Z l l + χ χ q Z l l + χ χ q χ g q g q arxiv: Michael Brodski (RWTH Aachen) Dark Matter Searches at 0 / 4

28 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons 9.7 fb (8 TeV) 9.7 fb (8 TeV) Events / 0 GeV - e + e channel Data C, m χ D5, m χ D8, m χ D9, m χ Unparticle, d U Z/γ*+jets = GeV, Λ = 0.7 TeV = GeV, Λ = 0.5 TeV = 00 GeV, Λ = 0.48 TeV = 500 GeV, Λ =.4 TeV Top/WW/W+jets ZZ WZ Syst. stat. unc. =.6, Λ U = TeV Events / 0 GeV - µ + µ channel Data C, m χ D5, m χ D8, m χ D9, m χ Unparticle, d U Z/γ*+jets = GeV, Λ = 0.7 TeV = GeV, Λ = 0.5 TeV = 00 GeV, Λ = 0.48 TeV = 500 GeV, Λ =.4 TeV Top/WW/W+jets ZZ WZ Syst. stat. unc. =.6, Λ U = TeV m T [GeV] m T [GeV] Transverse mass calculated from the lepton and E miss T agrees with the Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

29 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons Λ [GeV] % CL Observed 90% CL Expected 90% CL Expected ± σ 90% CL Expected ± σ Λ < m χ/π Ω*h = 0. monojet Truncated, g g = χ q g g = π, R = 80% χ q Λ g g = 4π, R = 80% χ q Λ pp Zχ χ l Excluded by 9.7 fb (8 TeV) - l χ χ, D5 + Spin-independent Vector m χ [GeV] Λ [GeV] % CL Observed 90% CL Expected 90% CL Expected ± σ 90% CL Expected ± σ Λ < m χ/π Ω*h = 0. Truncated, g g = χ q g g = π, R = 80% χ q Λ g g = 4π, R = 80% χ q Λ pp Zχ χ l Excluded by Limits on EFT parameter Λ calculated combined for both channels 9.7 fb (8 TeV) - l χ χ, D9 + Spin-dependent Tensor m χ [GeV] Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

30 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with leptons ] [cm σ χ N EFT approach Limits on the nucleon cross section set for four different coupling types + - pp Zχ χ l l χ χ invisible Higgs: H SS Spin independent D5: untruncated CDMSlite monophoton (D5) 9.7 fb (8 TeV) D5: truncated, g g = χ q C: untruncated C: truncated, g g = χ q monojet (D5) LUX 0 m χ 90% CL [GeV] ] [cm σ χ N pp Zχ χ l l χ χ Spin dependent XENON0 monophoton (D8) monojet (D8) D8: untruncated LUX stronger for higher masses with spin independent couplings Very strong limits for tensor coupling 9.7 fb (8 TeV) D8: truncated, g g = χ q D9: untruncated D9: truncated, g g = χ q PICO-L IceCube (WW) m χ 90% CL [GeV] Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

31 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with heavy quarks For scalar couplings of DM to quarks, heavy quarks are favoured L int = m q qq χχ Λ Dominant production channel g EFT approach t t χ one lepton at least three jets at least one b jet Large E miss T t W b q q t χ t W l ν g t b -BG4-004./PhysRevLett.4.80 Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

32 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with heavy quarks Events / 40 GeV 4 Data tt W+jets Single t 9.7 fb (8 TeV) Drell-Yan Diboson M χ = GeV M χ = 600 GeV Events / 40 GeV Data tt W+jets Single t 9.7 fb (8 TeV) Drell-Yan Diboson M χ = GeV M χ = 600 GeV M T (GeV) miss ET (GeV) The transverse mass (calculated from lepton and missing energy) and distributions are in agreement with the Standard Model prediction E miss T Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

33 Introduction 8 TeV searches TeV searches Summary and Outlook Dark matter with heavy quarks (GeV) Lower limits on M * g=π, R=80% g=π, R=50% M* < (M /π) m χ t Observed 90% CL Median expected 90% CL Expected within 68% Expected within 95% g=4π, R=80% g=4π, R=50% 9.7 fb (8 TeV) 0 Dark matter mass M χ (GeV) ) (cm χ-n Upper limits on σ SI Monojet CDMSlite tt+χχ lepton SuperCDMS 9.7 fb (8 TeV) Spin-independent scalar operator CRESST-II XENON0 Dark matter mass (GeV) LUX Very strong limits derived on the nucleon cross section due to the Λ dependence in L int Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

34 Introduction 8 TeV searches TeV searches Summary and Outlook Higgs combination Higgs couples to massive particles Invisible decay of the Higgs could be a hint for Dark Matter Combination of several analyses is performed Hadronic and leptonic final states with E miss T considered A combination of data with s = 7 TeV and 8 TeV performed -HIG5-0 Michael Brodski (RWTH Aachen) Dark Matter Searches at 7 / 4

35 Introduction 8 TeV searches TeV searches Summary and Outlook Higgs combination Limits on the branching ratio of Higgs to invisible are set Observed branching ratio is < 6% - ln L fb (8 TeV) fb (7 TeV) preliminary Combination of all H inv. channels Exp. for SM H Obs. for SM H σ x B(H inv)/σ(sm) fb (8 TeV) fb (7 TeV) 95% CL limits Observed limit Expected limit Expected limit (σ) Expected limit (σ) Preliminary Combined VBF-tagged VH-tagged ggh-tagged BR inv The observation is in agreement with the Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at 8 / 4

36 Introduction 8 TeV searches TeV searches Summary and Outlook TeV searches Michael Brodski (RWTH Aachen) Dark Matter Searches at 9 / 4

37 Introduction 8 TeV searches TeV searches Summary and Outlook Monojet update First result with s = TeV One energetic jet and missing energy E miss T only monojet topology considered veto on leptons for the final selection Mediator approach -EXO5-00 Michael Brodski (RWTH Aachen) Dark Matter Searches at 0 / 4

38 Introduction 8 TeV searches TeV searches Summary and Outlook Monojet update Events / GeV Events / GeV Preliminary. fb ( TeV) Data Signal (V, TeV) Z(νν) W(lν) Z(ll) Top Dibosons QCD Prefit Ratio Postfit Ratio miss E T [GeV] Data/Pred. E miss T distribution shows agreement between data and Standard Model prediction Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

39 Introduction 8 TeV searches TeV searches Summary and Outlook Monojet update Limits on mediator model parameters g χ = g q = m DM (GeV) Preliminary g =g DM Vector = SM Median Expected 90% CL Observed 90% CL +/- Scale Uncert. 8TeV - Median Expected 90% CL 8TeV - Observed 90% CL LUX. fb Planck+WMAP Relic ( TeV) Observed CL s m DM (GeV) Preliminary g =g DM Axial = SM Median Expected 90% CL Observed 90% CL +/- Scale Uncert. 8TeV - Median Expected 90% CL 8TeV - Observed 90% CL PICO-L. fb Planck+WMAP Relic ( TeV) Observed CL s Excluded by 4 m MED (GeV) Excluded by m MED (GeV) Cross section limit is translated into mediator mass vs. m χ limits Already with.fb the limits are very strong! Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

40 Introduction 8 TeV searches TeV searches Summary and Outlook Monojet update Limits on DM productions g χ = g q = ) (cm σ SI Preliminary g =g DM Vector = SM Excluded by. fb Median Expected 90% CL Observed 90% CL ( TeV) 8TeV - Median Expected 90% CL 8TeV - Observed 90% CL LUX m DM (GeV) ) (cm σ SD Preliminary g =g DM Axial = SM Median Expected 90% CL Observed 90% CL 8TeV - Median Expected 90% CL 8TeV - Observed 90% CL PICO-L. fb Excluded by ( TeV) m DM (GeV) Model parameter limits are translated into limits on the nucleon cross section Already with.fb the limits are very strong! Michael Brodski (RWTH Aachen) Dark Matter Searches at / 4

41 Introduction 8 TeV searches TeV searches Summary and Outlook All in all performed many sophisticated searches for Dark Matter in Run I and set very strong complementary limits No hints for Dark Matter are found so far First preliminary results of Run II already (!) published Stay tuned for many more exciting results to arrive soon! Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

42 Introduction 8 TeV searches TeV searches Summary and Outlook All in all performed many sophisticated searches for Dark Matter in Run I and set very strong complementary limits No hints for Dark Matter are found so far First preliminary results of Run II already (!) published Stay tuned for many more exciting results to arrive soon! Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

43 Introduction 8 TeV searches TeV searches Summary and Outlook All in all performed many sophisticated searches for Dark Matter in Run I and set very strong complementary limits No hints for Dark Matter are found so far First preliminary results of Run II already (!) published Stay tuned for many more exciting results to arrive soon! Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

44 BACKUP Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

45 σ D8,D9 0 = q µ χn πλ 4 ( N q ) ( = cm µχn ) ( 00 GeV GeV Λ ) 4 σ D5 0 = q µ χn πλ 4 ( f N q ) ( =.8 7 cm µχn ) ( 00 GeV GeV Λ ) 4 σ C 0 = q 4µ χn πλ 4 ( f N q ) ( = cm µχn ) ( 00 GeV GeV Λ ) 4 Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

46 Mono-V Michael Brodski (RWTH Aachen) Dark Matter Searches at 7 / 4

47 Data driven background estimation Events/GeV 4 Data Preliminary fb Z( νν)+jets W( lν)+jets top Dibosons QCD Z( ll)+jets (8 TeV) Higgs m =5 GeV H Discrepancy due to mis-modeling and imperfect description of the leading backgrounds in the simulation Data/Bkg miss E T (GeV) Use a data control region with inverted requirements for estimating background contribution Michael Brodski (RWTH Aachen) Dark Matter Searches at 8 / 4

48 Data driven background estimation Inverting three different requirements, one obtains processes with no E miss T All E miss T measured now must be "fake" monojet category 9.7 fb (8 TeV) resolved category 9.7 fb (8 TeV) boosted category 9.7 fb (8 TeV) Events/GeV Preliminary Data - Dimuon Expected (post-fit) Backgrounds Events/GeV Preliminary Data - Dimuon Expected (post-fit) Backgrounds Events/GeV Preliminary Data - Dimuon Expected (post-fit) Backgrounds Expected (pre-fit) Expected (pre-fit) Expected (pre-fit) Data/Bkg -.5 Data/Bkg miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) Perform a fit to make sure that fake E miss T agrees and then propagate back Michael Brodski (RWTH Aachen) Dark Matter Searches at 9 / 4

49 Mono-V monojet category 9.7 fb (8 TeV) monojet category 9.7 fb (8 TeV) monojet category 9.7 fb (8 TeV) Events/GeV Preliminary Data - Photon+jet Expected (post-fit) Backgrounds Expected (pre-fit) Events/GeV Preliminary Data - Dimuon Expected (post-fit) Backgrounds Expected (pre-fit) Events/GeV Preliminary Data - W (µν)+jet Expected (post-fit) Backgrounds Expected (pre-fit).5 Data/Bkg.5 Data/Bkg miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) Events/GeV resolved category 9.7 fb (8 TeV) Preliminary Data - Photon+jet Expected (post-fit) Backgrounds Events/GeV resolved category 9.7 fb (8 TeV) Preliminary Data - Dimuon Expected (post-fit) Backgrounds Events/GeV resolved category 9.7 fb (8 TeV) Preliminary Data - W (µν)+jet Expected (post-fit) Backgrounds Expected (pre-fit) Expected (pre-fit) Expected (pre-fit) - - Data/Bkg miss fake E T (GeV) Data/Bkg miss fake E T (GeV) Data/Bkg miss fake E T (GeV) miss E (GeV) (GeV) (GeV) T miss fake E T miss fake E fake T Michael Brodski (RWTH Aachen) Dark Matter Searches at 40 / 4

50 Mono-V boosted category 9.7 fb (8 TeV) boosted category 9.7 fb (8 TeV) boosted category 9.7 fb (8 TeV) Events/GeV Preliminary Data - Photon+jet Expected (post-fit) Backgrounds Events/GeV Preliminary Data - Dimuon Expected (post-fit) Backgrounds Events/GeV Preliminary Data - W (µν)+jet Expected (post-fit) Backgrounds Expected (pre-fit) Expected (pre-fit) Expected (pre-fit) Data/Bkg miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) miss fake E T (GeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

51 Mono-V Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

52 Razor Michael Brodski (RWTH Aachen) Dark Matter Searches at 4 / 4

53 ble Razor.: Definition of the event categories based on the M R value, the muon mu plicity, and the output of the CSV b-tagging algorithm. For all the sampl R > 0.5 is required. Sample b-tagging selection M R selection 0µ, µ, andµ no CSV loose jet 00 < M R apple 00 GeV (VL) 00 < M R apple 400 GeV (L) 400 < M R apple 600 GeV (H) M R > 600 GeV (VH) 0µbb CSV tight jets 0µb = CSV tight jets µb µb CSV tight jets M R > 00 GeV Z(µµ)b CSV loose jets Definition of the regions ble.: Comparison between the observed yield for µ events in each M R catego and the corresponding prediction from background simulation and from t data-driven method, using the µ sample. The uncertainty on the data driv Michael predictions Brodski (RWTH Aachen) take into account both the statistical Dark Matter Searches andat systematic uncertain 44 / 4

54 Razor µb µb Z(µµ)b CSV tight jets CSV loose jets M R > 00 GeV Table.: Comparison between the observed yield for µ events in each M R category and the corresponding prediction from background simulation and from the data-driven method, using the µ sample. The uncertainty on the data driven predictions take into account both the statistical and systematic uncertainty. The quoted uncertainty on the prediction from simulation reflects the size of the simulated sample. M R Z( )+jets W(` )+jets Z(``)+jets t t Predicted Predicted Observed category (simulation) (data driven) VL 0.7 ± ± ± 799 ± ± 588 ± L 0.5 ± ± 7 44 ± ± 4 06 ± ± H 0. ± ± 6 ± 66 ± 997 ± 69 ± 40 9 VH - 8 ± 5.6 ± ± ± 5 66 ± 9 4 Control region with µ Michael Brodski (RWTH Aachen) Dark Matter Searches at 45 / 4

55 Table.4: Comparison between the observed yield for µ events in each M R category Razor and the corresponding prediction from background simulation. The quoted uncertainty on the prediction from simulation reflects the size of the simulated sample. M R Z( )+jets W(` )+jets Z(``)+jets t t Predicted Observed category (simulation) VL ± 4.9 ± 0. 5 ± 4 07 L ± ± 0.5 ± ± 78 H - 0. ± ± 0. ± ± 0 VH - - ± 0. ± 0. ± 7 Control region with µ control sample Sample Z( )+jets W(` )+jets Z(``)+jets t t Predicted Observed (simulation) µb - 0. ± 0.. ± ± 60 ± 60 Control region with µb Michael Brodski (RWTH Aachen) Dark Matter Searches at 46 / 4

56 Mono-W Michael Brodski (RWTH Aachen) Dark Matter Searches at 47 / 4

57 Mono-W Relative uncertainty miss e + E T All systematic uncertainties e energy scale e energy resolution W K-factor Data/MC scale factor Pileup 8 TeV Relative uncertainty miss µ + E T All systematic uncertainties µ momentum scale µ momentum resolution W K-factor Data/MC scale factor Pileup 8 TeV miss E T miss E T 0. PDF QCD 0. PDF M T (GeV) M T (GeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 48 / 4

58 Mono-W efficiency fb (8 TeV) unpublished geometrical acceptance acceptance x E > 0 GeV T acceptance x E > 0 GeV x trigger T acceptance x E > 0 GeV x trigger x ele ID T acceptance x efficiency miss e + E T M W' (TeV) Michael Brodski (RWTH Aachen) Dark Matter Searches at 49 / 4

59 Mono-W Michael Brodski (RWTH Aachen) Dark Matter Searches at 50 / 4

60 Mono-Z Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

61 Mono-Z Events / GeV e + e channel Data D5, m χ D9, m χ Unparticle, d U Z/γ*+jets = GeV, Λ = 0.5 TeV = 500 GeV, Λ =.4 TeV Top/WW/W+jets ZZ 9.7 fb =.6, Λ U (8 TeV) = TeV Events / GeV µ + µ channel Data D5, m χ D9, m χ Unparticle, d U Z/γ*+jets = GeV, Λ = 0.5 TeV = 500 GeV, Λ =.4 TeV Top/WW/W+jets ZZ 9.7 fb =.6, Λ U (8 TeV) = TeV WZ Stat. unc. WZ Stat. unc. Data / MC 0 Stat. unc miss E [GeV] T Data / MC 0 Stat. unc miss E [GeV] T E miss T at the preselection stage Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

62 Mono-Z 8 Result Process e + e µ + µ C(GeV) 0.0 ± ± ± ± 0.0 D5(GeV) 0.79 ± 0.0 ± ± 0.0 ± 0.09 D8(00GeV) 0.48 ± 0.0 ± ± 0.0 ± 0.05 D9(500GeV).4 ± 0. ± ± 0. ± 0.98 Unparticle(.6) ± 0.88 ± ±.07 ± 4.8 Z/g! `+` 8.8 ±.9 ± ±.0 ±.0 WZ! `n 5.08 ± 0.5 ± ± 0.69 ± 4.50 ZZ! `n 58.8 ± 0.65 ± ± 0.79 ±.8 Top/W + W /Z! t + t 8.74 ±.9 ±.7.9 ±.9 ±.44 W + jets.84 ± 0.64 ± Total bkg..66 ± 4.04 ± ±.9 ± 7.84 Data ble : Observed number of events, background estimates and signal predictions at p s = V. The signal yields are given for L = TeV. All values are given with corresponding atistical and systematic uncertainties. Michael Brodski (RWTH Aachen) Dark Matter Searches at 5 / 4

63 of the particle candidate. The overall associated uncertainty for both channels is about % per event. The systematic uncertainties contain normalization uncertainties that affect the overall size of contributions, Mono-Zand shape uncertainties which alter the shapes of the distributions used in extracting the signal limits. They are summarized in Table. Source Background Signal uncertainty(%) uncertainty(%) PDF+a S Factorization/renormalization scale Acceptance (ZZ) 4 - Luminosity.6.6 Lepton trigger, reco & id, isolation Z/g! `+` normalization - t t, tw, WW normalization 57 - W + jets normalization 5- - MC statistics (Signal, ZZ, WZ) - - Control region statistics (Z/g! `+` ) 5 - Control region statistics (t t, tw, WW) 8 - Control region statistics (W + jets) 6 - Pile up b-jet tagging efficiency Lepton momentum scale Jet energy scale/resolution Unclustered ET miss scale - Table : Summary of systematic uncertainties. Each background uncertainty represents the variation Michael of the Brodski relative (RWTH Aachen) yields of the particular backgrounddark components. Matter SearchesThe at signal uncer- 54 / 4

64 Truncation EFT generally overestimates the signal prediction Consider a tree-level simplified model from which follows: Λ M gq g χ Introduce a momentum transfer Q tr and demand Q tr < M g qg χλ whereby Λ > mχ π 4 Define R Λ = p max T p min T dp T η max η min p max T p min T dη d σ eff dp T η max η min dp T dη Qtr< g qg χλ dη d σ eff dp T dη and set it to a realistic value, e.g. 80% Manually remove events which do not satisfy Q tr > g q g χ Λ for both options a choice of g q and g χ is necessary Michael Brodski (RWTH Aachen) Dark Matter Searches at 55 / 4

65 DM with top pairs Michael Brodski (RWTH Aachen) Dark Matter Searches at 56 / 4

66 DM with top Michael Brodski (RWTH Aachen) Dark Matter Searches at 57 / 4

67 DM with top Michael Brodski (RWTH Aachen) Dark Matter Searches at 58 / 4

68 Higgs combination Michael Brodski (RWTH Aachen) Dark Matter Searches at 59 / 4

69 Higgs combination Michael Brodski (RWTH Aachen) Dark Matter Searches at 60 / 4

70 Higgs combination Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

71 Older Higgs result [pb] σ χ SI DM-nucleon cross section -N scalar fermion Combination of VBF and ZH, H invisible s = 8.0 TeV, L = fb s = 7.0 TeV, L = 4.9 fb (ZH) vector Min Lattice Max (VBF+ZH) CRESST σ CRESST σ XENON0(0) XENON(0) DAMA/LIBRA CoGeNT(0)/90%CL CoGeNT(0)/99%CL CDMS(0)/95%CL COUPP(0) LUX(90%CL) B(H inv) < 90% CL m H = 5 GeV DM Mass M χ [GeV] arxiv: Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

72 Monojet update Michael Brodski (RWTH Aachen) Dark Matter Searches at 6 / 4

73 Monojet update Events Events / GeV / GeV 00 Preliminary Data/Pred Data. fb ( TeV) Pre-fit Z(ee) Post-fit Z(ee) Background Recoil [GeV] Events Events / GeV / GeV 00 Preliminary Data/Pred Data. fb ( TeV) Pre-fit Z(µµ) Post-fit Z(µµ) Background Recoil [GeV] Recoil [GeV] Preliminary Events Events / GeV / GeV dielectron dimuon photon Data/Pred. 0.9 Data Pre-fit Post-fit. fb ( TeV) γ+jets γ+jets Background Recoil [GeV] Recoil [GeV] Michael Brodski (RWTH Aachen) Dark Matter Searches at 64 / 4

74 Monojet update Events Events / GeV / GeV Preliminary Data. fb Pre-fit W(eν) ( TeV) Post-fit W(eν) Background Recoil [GeV] Data/Pred Events Events / GeV / GeV Preliminary Data. fb Pre-fit W(µν) ( TeV) Post-fit W(µν) Background Recoil [GeV] Recoil [GeV] Data/Pred. single electron single muon Michael Brodski (RWTH Aachen) Dark Matter Searches at 65 / 4

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