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Search for dark matter candidates in events with a jet and missing transverse momentum using the ATLAS detector Pierre-Hugues Beauchemin Tufts University Physical Sciences Symposia-2013, Waltham, MA, 09/05/2013 Outline Monojet events Physics Motivation Main Standard Model backgrounds Data-driven background estimates Motivation Illustration of the techniques Application to monojet events Results and interpretation Comparison to data Constraints on dark matter Conclusions 2 Monojet events 3 Dark Matter Many observational evidences for a large amount of dark matter in the universe One of the strongest motivation for new physics in HEP 4 Signature at Colliders Most popular explanation for the nature of dark matter: Massive particles interacting very weakly with matter (WIMPs) Dark matter was more abundant in early universe Dark matter gets annihilated Reverse is true: dark matter can be produced in colliders WIMPs escape detection but can be inferred from unbalance energy measurement in the transverse plane of the detector Need recoil activity, typically jets Dark matter can be signaled in jets+ETmiss events at LHC 5 New Physics in monojet events Many new physics scenario predicts high production rate for such final state: Generic dark matter produced via contact interaction Invisible Higgs Gauge-mediated SUSY breaking scenario: Gravitino+squark/gluino production o Assume Production of graviton Kaluza-Klein mode in large extra dimension scenarios Unparticle o Equivalent to LED+SUSY in the bulk 6 Contribution from Standard Model Irreducible background Physics processes with same final state ① Znn+jets Reducible background Physics processes with different final states modified by detector effects ② Wln+jets ③ QCD multijet ④ Non-collision events ⑤ Others… o Dibosons (WW,WZ,ZZ) o Top (ttbar, single top) q q 7 Data-driven background estimates 8 Standard Model Predictions (I) To determine how many SM events should pass the selections defining the chosen final state, we must: predict the number of irreducible and reducible single jets events produced in LHC collisions : Estimate the probability that these SM events yield the monojet signal defined by our event selections: Theoretical calculation of various cross sections Probability distribution of observables for each processes Number of collisions produced (Luminosity) Detector effects on the distributions 9 Standard Model Predictions (II) 1. The relative amount of new physics and SM contribution 80 60 40 20 0 1. 60 40 SM+LED 20 SM 0 THE KEY IS TO CONTROL JET P (GeV) SM+LED SYSTEMATIC UNCERTAINTIES 100 SM T 2. JET PT (GeV) 2. The systematic uncertainty on the SM expectations Is under our control Number events/25 GeV Number events/25 GeV Not under our control Number events/25 GeV The sensitivity to new phenomena depends on: 50 SM+LED SM 0 JET PT (GeV) Monte Carlo-based estimates Use theory & simulations to estimate production rate and model detector effects on probability to select events Systematic uncertainty from approximation and inaccuracy in modeling of: Theoretical calculation Modeling of strong interaction effects at large distance Modeling of detector effects Number of collisions registered 11 Data-driven techniques 101 (I) Reduce systematic uncertainty by replacing MC distribution with well understood data distribution similar to the process of interest to avoid bias e n + e n Stat error only Simulation n n Data 12 Data-driven techniques 101 (II) To produce a data-driven predictions, we can: 1- Reverse one (few) signal selection(s) • Avoid signal contamination Set of selections defining signal (eg: monojet) All events from a dataset Data model of the signal Signal events Z ¬X X Y Event cut 1 Event cut 2 … Event cut N-1 Event cut N Y: All other selections Selections X: to reverse 2- Count the number of events in the respect YZ (Z to ¬X) If X is unbiased with Y,sample 3- Use ratios to YZ compute mapping factors for the then provides a good model forfinal YXprediction 13 Data-driven in monojet events Jets observables present similar distributions Znn + 1-jet e Zee + 1-jet e ETmiss can similarly be obtained after removing the two charged leptons with corrections Met Must now use ratio to normalize and correct for shape distortion 14 Results and interpretation 15 Various signal regions We don’t know the kinematic region in which new physics will get revealed Expectations vary with models Model-independence: don’t select the ET 500 350 kinematic region based on the indications 220 of a particular model 120 Or do a kinematic scan 0 120 220 350 500 Jet 1 ET Lowest kinematic region determined by trigger requirement Statistics is a limitation for data-driven estimate in high kinematic regions 16 16 Background systematics uncertainties When systematic taking all effectsuncertainties; and all backgroundmono-jet into account: ckground For the high stats “low” kinematic region Systematic source Uncertainty Jet and E Tmiss energy scale and resolution 2-4 % on transfer factors Lepton identification efficiencies 1-3 % on transfer factors Non-electroweak backgrounds Less than 1 % on total background Parton shower and hadronisation modelling 3 % on total background of simulation samples QCD prediction uncertainty is not the dominant background and is kept at a Large low MC level statistical errors in signal regions 3 (350 GeV threshold) & 4 (500 GeV threshold): This estimate is a very conservative, essentially only reflecting the small ~ 5.5 % &the 15.8 % statistics of the sample used to get estimate. Recent studies suggest a factor of 3 to 5 smaller uncertainty on QCD effects 17 Insignificant improvements of some of the limits compared to the 7 TeV mono-jet analysis The Results (I) JHEP 04 (2013) 075 From 5 fb-1 of 2011 ATLAS data constrains on Outstanding precision of withTight Results are consistent SM regardless New physics models <4% onof SM prediction miss the jet P and E selections T T 18 Results (II) Leading jet pT : 852 GeV miss E T : 863 GeV Back U 19 The Results (III) 20 Dark Matter models considered (I) Monojet analysis can be used to constrain dark matter production in a model-independent way Effective theory with contact interaction Assumes: WIMPs of mass between a few GeV to few TeV range o Detectable at the LHC Pair of WIMP produced from parton-parton interaction o Heavy mediator between SM and dark sector Dark Matter field represented as Dirac Fermion o Some interaction terms are disallowed o Cross section bigger than Majorana by x4 o Can express t-channels as a sum of s-channels dirac terms 21 Dark Matter models considered (II) Examples of operators considered Chosen because they correspond to different ETmiss shapes and so generate potentially different limits 2 parameters: M* and Mc M* = M/sqrt(g1g2) o g1, g2 = couplings of the mediator of mass M between WIMP and SM Coupling flavor universal with 4 lighter quark flavors 22 Limits Thermal relic density observed by WMAP (green curve) is compatible with DM having couplings and mass comparable to weak scale masses and force If M* above relic line, other annihilation processes are required for consistency to WMAP 23 More limits Bounds on M∗ for a given mc can be converted to bounds on WIMP-nucleon scattering cross sections Compare to direct DM experiments Compare to indirect DM searches o Use DM pair production from 4-flavors quark-anti-quark annihilation and translate it to a DM annihilation in bb-pair o Compare to galactic high energy Event select ion Background est imat e gamma ray observations by Fermi LAT Int roduct ion LED WIM P Gravit ino Conclusio • gsint from q-jet fragmentation W IM P/ DM erpret at ion (AT LAS search, hep-ex/ 1210.4491) ⌦χ / 1 < σ⌫ > ⇠ mχ2 gχ4 8 ⌦χ : > > < hσ⌫ i : with mχ : > > : gχ : observed thermal relic density ⇠ 0.24 thermally-averaged annihilation cross section DM part icle mass 24 coupling between DM and SM particles Comparison to direct DM searches Best spin independent Limits for mc < 10 GeV Best spin dependent limits for mc < 1 TeV 25 Comparison to indirect DM searches LHC and Fermi LAT are complementary, especially below ~100 GeV 26 Conclusions 27 Conclusion Dark matter is an empirical fact established by astrophysics Most popular explanation: a new particle (WIMPs) Escape detections => jets + ETmiss events Background predictions to monojet events typically suffer from large systematic uncertainties Use data-driven background estimate ATLAS performed the search and found no evidence for new physics in monojet events Constraints are set on generic effective dark matter scenario Complementary to direct and indirect dark matter searches 28 Back-up slides 29 LED: Model assumptions Limits assume extra dimensions are flat and compactified on n-dimensional torus SM fields attached to a 3-brane o Brane deformation ignored Continuous KK-spectrum is assumed, even for n=6 o Universal couplings of each modes o Assumed the spectrum stops at MD Fundamental to effective scale relationship: Prediction from minimal graviton emission model of GRW Valid: E<<MD; Pert. exp. break: E > 7 MD LED: Experimental signatures Direct graviton production in association with partons or photons Graviton interaction with detector suppressed by MPl-2 Missing transverse energy Signature at the LHC Monojet o More jets due to QCD radiation Monophoton LED: Limits Typical efficiency for jets and Met selection: ~83% Similar for Zvv, and ADD and general dark matter model Set 95% C.L. limits on MD Truncation: quantify UV effects not modeled by Leff o Ds/s = 0% (n=2), 6% (n=3), 20% (n=4), 45% (n=5), 60% (n=6) model does not make non-ambiguous predictions with SR4 o Limits of SR1 to SR3 are 35%, 15%, 5% worse, but less UV sensitive Electroweak background estimate (II) Data-driven prediction for Z→nn+jets background is obtained from: Number of Z→ll+jets events in each control region’s ETmiss bin (Nicand,CR) Ratio of signal region to control region observable distribution The ratio mapping factor accounts for lepton acceptance and efficiency different cross section and branching ratios distortion of the measured observable due to the charged lepton in the CR Similar exercise can be done to estimate the reducible W+jets background Direct use of the Rjets measurement The ratio is also corrected for the probability that the event survive the veto W+jets control region events are also used to estimate Znn+jets 33 QCD multijets background estimate Sources of QCD contribution: 2-jets and 3-jets events for which one of the jets is lost (dominate) ≥3-jets events for which two jets are lost (smaller) → obtained from MC To estimate the 2-jets contribution: 1- Select 2/3-jets events with ETmiss vector toward one jet 2-jets events 2- Extrapolate this jet ET below energy threshold (loose a jet) 3- Background prediction = area under the fit in the extrapolated region × MC correction Extrapolated region * Jet threshold lowered to 15 GeV to verify the extrapolation 34 Results (IV) Preliminary studies with 10 fb-1 of 2012 8 TeV data yields very results than the 7mono-jet TeV 2011 8results. New similar experimental results: TeV ATLAS-CONF-2012-147 Signal region 3 35