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DOI 10.1393/ncc/i2010-10649-2 Colloquia: TOP2010

B-tagging, leptons and missing energy in ATLAS after first data

I. van Vulpen on behalf of the ATLAS Collaboration

Nikhef, National Institute for Subatomic Physics - Science Park 105 1098 XG Amsterdam, The Netherlands

(ricevuto il 27 Luglio 2010; approvato il 27 Luglio 2010; pubblicato online il 24 Settembre 2010)

Summary. — The start-up of the Large Hadron Collider at CERN marks a new

era in particle physics. This paper presents an overview of the ATLAS detector performance and first results extracted from data taken during the early LHC runs. PACS 14.65.Ha – Top quarks.

1. – Introduction

The new frontier of particle physics, the high-energy LHC proton-proton collisions at CERN, will allow us to study nature at the smallest distance scales to date and to pursue our main goal: to search for evidence of physics beyond the Standard Model.

With the first collisions, each of the ATLAS sub-detectors follows a detailed calibra-tion and alignment program to study the detector response to electrons, muons, photons and jets. The events used in these calibrations range from minimum bias, through well-predicted low multiplicity (di-)lepton events to more complex event topologies. This paper presents the analysis of the first data and current understanding of the

detec-tor response(1). A first step towards a claim of a signal from new physics is to show

that the detector response is also understood in more complex event topologies. With a

combination of multiple high-pT (b-)jets, isolated high-energy leptons and large missing

transverse energy, the observation and detailed measurement of top quark pair produc-tion is an important milestone in the ATLAS physics program.

2. – The Inner Detector: tracking performance and b-tagging

The heart of the ATLAS detector is formed by the Inner Detector (ID): a tracking

de-tector inside a 2 T magnetic field covering angles up to|η| < 2.5. Tracks are reconstructed

using the ID’s three sub-detectors: space points from the innermost pixel detector and silicon microstrip detector (SCT) complemented with information from the transition radiation tracker (TRT) that also provides information on particle identification.

(1) All plots and results shown in this paper can be found on the ATLAS public results web-page: https://twiki.cern.ch/twiki/bin/view/Atlas/AtlasResults.

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η

-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5

Average Number of SCT Hits

6.5 7 7.5 8 8.5 9 9.5 10 10.5 Data ND MC MinBias ATLAS Preliminary = 900 GeV s Local x residual [mm] −0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.5

Number of hits on tracks

0 5000 10000 15000 20000 25000 30000 Preliminary ATLAS SCT Barrel = 900 GeV s Monte Carlo m μ =0 μ m μ FWHM/2.35=38 Data 2009 m μ =0 μ m μ FWHM/2.35=43

Fig. 1. – (Colour on-line) Left plot: number of SCT hits on reconstructed tracks in 900 GeV data and non-diffractive minimum bias MC simulation as a function of η. Right plot: unbiased residual distribution in x in the SCT barrel for the MC with perfect alignment (open marker) and the alignment obtained with collision data taken in 2009 (solid marker).

2.1. Track reconstruction. – Basic track quantities and detector geometry are very

well described by simulation. Figure 1 shows the number of SCT hits on reconstructed tracks in 900 GeV data compared to the expectation from non-diffractive minimum bias

Monte Carlo (MC) simulation. Tracks were selected within|η| < 2.5, required to have a

transverse momentum in excess of 500 MeV and have at least 7 SCT hits. The simulation takes into account the disabled modules in data.

A large set of well-reconstructed tracks (pT > 2 GeV, |d0| < 10 mm and at least 6

silicon hits) allows an initial alignment of the ID by minimizing track residuals, defined as the distance between the measured hit and the prediction from the track extrapolation. Figure 1 shows the unbiased residual distribution in the x-coordinate for all hits-on-track in the SCT barrel for the MC with perfect alignment (open red) and the alignment obtained with collision data taken in 2009 (solid blue). The distributions show that the resolutions are already close to those from MC expectations.

[MeV] π π m 400 450 500 550 600 650 700 750 800 Entries / 2 MeV 0 1000 2000 3000 4000 5000 6000 Invariant Mass 0 S K =900 GeV) s Minimum Bias Stream, Data 2009 (

> 100 MeV, Si hits > 6 T Both tracks: p ) > 0.8, flight distance > 0.2 mm θ cos( Data Simulation Gauss (+poly) fit

0.1 (stat) MeV ± = 497.5 μ 0.1 (stat) MeV ± = 8.2 σ 0.024 MeV ± = 497.614 0 K PDG (2009) m ATLASPreliminary

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(L) σ L / -20 -10 0 10 20 30 Number of jets 0 20 40 60 80 100 120 140 160 180 SV0 selection Data 2010 = 7 TeV s ( ) -1 L = 0.4 nb Simulation b jets c jets light jets ATLAS Preliminary (L) σ L / -20 -10 0 10 20 30 Number of jets 0 20 40 60 80 100 120 140 160 180 0 d Track S -40 -30 -20 -10 0 10 20 30 40 Number of tracks -1 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 s= 7 TeV Data 2010 ND min. bias MC ATLASPreliminary

Fig. 3. – B-tagging results in 7 TeV data: transverse impact parameter significance (left plot) and the three-dimensional decay length significance (right plot).

2.2. Primary and secondary vertices. – The interaction point of proton-proton

colli-sions is reconstructed on an event-by-event basis using a dedicated primary vertex recon-struction with an efficiency close to 100%. A clear indication of the good performance and resolution of the secondary vertex tagging is shown in fig. 2 with the data to MC

comparison of the KSpeak in the two-vertex-mass distribution, where the flight path of

the V0 candidate is required to point back to the interaction point.

2.3. b-tagging. – In ATLAS, several tagging algorithms try to identify b(c)-quark

de-cays. These algorithms are based on testing a non-compatibility of the tracks associated to the jet to originate from the primary vertex and the existence (and properties) of a secondary vertex. Track quality criteria [1, 2] include the requirement to have at least 7 silicon hits. Figure 3 compares data and MC prediction for the transverse impact

param-eter significance d0/σd0 for p

tracks

T > 150 MeV (left plot) [1] and the three-dimensional

decay length significance for ptracks

T > 1 GeV (right plot) [2]. The initial results on 7 TeV

data as shown in the plot show an excellent understanding of the performance.

3. – Electron and muon reconstruction

The ability to reconstruct an isolated lepton with large transverse energy is a crucial step in selecting of candidates from many signals (W, Z, top quarks, new physics models) from the large number of proton-proton collisions. Both electron and muon momentum estimations use extensive information from ID tracking, but require calorimeter and TRT (electron) and the dedicated muon spectrometer information (muons) to obtain a clean identification. In this section we show a few key plots in lepton reconstruction and identification.

3.1. Cosmic muons. – In the two years before LHC start-up, several hundred million

cosmic muons that traversed the ATLAS detector have enabled an extensive alignment and calibration program. Figure 4 shows the transverse momentum resolution. A fit to the data (curve in plot) reveals that in the region important for top physics, i.e. up to 100 GeV, the resolution is close to expectation from simulation.

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Pt (GeV) 10 102 103 (Pt)/Ptσ 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 0.2χ2 / ndf 6.1314 / 10 Prob 0.8041 p0 0.2808 ± 0.0230 p1 0.0397 ± 0.0013 p2 0.0277 ± 0.0025 / ndf 2 χ 6.1314 / 10 Prob 0.8041 p0 0.2808 ± 0.0230 p1 0.0397 ± 0.0013 p2 0.0277 ± 0.0025 ATLAS preliminary 2009 cosmic data

Fig. 4. – Muon transverse momentum resolution using cosmic muons.

3.1.1. Muon reconstruction: Muons in 900 GeV data. For data taken at 900 GeV data

only a few muons are expected and only 50 candidates remain after a selection that includes track quality criteria and a minimum absolute (transverse) momentum of 4

(2.5) GeV [3]. This sample is dominated by muons from π/K decays and ∼ 25% are

expected from semi-leptonic (b-)c-quark decays. The distributions of the pseudo-rapidity and momentum of the candidates are shown in fig. 5, where a good agreement between data and MC prediction is observed.

3.1.2. Muon reconstruction: Muons in 7 TeV data. A well-functioning lepton trigger

chain is vital for selecting interesting events from all collisions. As an indication of the muon trigger performance, the left plot of fig. 6 shows the efficiency of the Level-2 muon

combined algorithm in the barrel region (|η| < 1.05) relative to the Level-2 muon

spec-trometer algorithm with a nominal threshold set to 4 GeV as a function of the transverse momentum of the offline reconstructed combined muon.

η -3 -2 -1 0 1 2 3 muons / 0.4 0 2 4 6 8 10 12 14 16 Atlas Preliminary 2009 Toroid on 900 GeV Data non-diffractive minimum bias MC

p [GeV] 0 5 10 15 20 25 30 35 40 muons / 2 [GeV] 0 2 4 6 8 10 12 14 16 18 Atlas Preliminary 2009 Toroid on 900 GeV Data non-diffractive minimum bias MC

Fig. 5. – Distribution of η (left) and momentum (right) of reconstructed muons in 900 GeV data and MC. Distributions are normalized to the number of selected muon candidates. The momentum is measured by the ID reconstruction or, for combined tracks, is the result of the combined fit to the ID muon spectrometer track.

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[GeV] -μ + μ Invariant Mass 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 Entries/0.080 [GeV] 0 5 10 15 20 25 30 ATLASPreliminary

Data with Poisson Errors ML Fit

Fig. 6. – Left plot: efficiency of the L2 muon combined algorithm relative to the L2 muon spectrometer algorithm with a nominal threshold set to 4 GeV. Right plot: di-muon invariant mass distribution for 320 μb−1 at 7 TeV using minimum bias trigger.

Muons originating from either J/Ψ or Z-boson decays provide a clean sample of muons and, through the mass constraint, a powerful handle to assess ATLAS’ capability to reconstruct muons. In the absence of a sample of Z-boson decays (we did observe a very

nice Z→ μ+μ− candidate though), the first analyses exploit the larger statistics from

J/Ψ decays. We looked for J/Ψ→ μ+μby selecting events with two oppositely charged

muons, each with a momentum above 3 GeV. The resulting mass distribution in the first

320 μb−1 of data at a center-of-mass energy of 7 TeV is shown in the right plot of fig. 6.

3.2. Electron reconstruction: Electrons in 900 GeV data. – As for muons, in 900 GeV

data only a limited number of prompt electrons are expected. We observed 879 electron candidates that are expected to originate from either photon conversions or hadrons faking an electron signature [4]. The energy in the EM calorimeter of all candidates is shown in the left plot of fig. 7. Identifying conversions using tracking information [5] allows to separate the electrons from the fakes and to test the electron reconstruction capability of ATLAS. The conversion radius from identified conversion candidates is shown in the right plot of fig. 7, showing that the material description of the ATLAS ID is accurately modeled. [GeV] T E 0 2 4 6 8 10 12 Entries / 0.5 GeV 0 50 100 150 200 250 300 0 2 4 6 8 10 12 0 50 100 150 200 250 300 = 900 GeV) s Data 2009 (

Non-diffractive minimum bias MC Hadrons

Electrons from conversions

ATLASPreliminary R [mm] 0 50 100 150 200 250 300 350 400 Entries / 8 mm 0 5 10 15 20 25 30 35 40 R [mm] 0 50 100 150 200 250 300 350 400 Entries / 8 mm 0 5 10 15 20 25 30 35 40 = 900 GeV) s Data 2009 ( MC conversion candidates MC true conversions MC true Dalitz decays (Non−diffractive minimum bias MC)

ATLAS Preliminary

Fig. 7. – Transverse energy of the cluster for electron candidates (left) and distribution of the photon conversion radius integrated over all η for identified conversions (right).

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Fraction of high-threshold TRT hits 0 0.1 0.2 0.3 0.4 0.5 Entries / 0.025 0 20 40 60 80 100 120 140 160 180 200 0 0.1 0.2 0.3 0.4 0.5 0 20 40 60 80 100 120 140 160 180 200 = 900 GeV) s Data 2009 (

Non-diffractive minimum bias MC Hadrons

Electrons from conversions

ATLASPreliminary −factor γ 10 102 103 104 High − threshold probability 0 0.05 0.1 0.15 0.2 0.25

Pion momentum (GeV)

1 10

Electron momentum (GeV)1 10

TRT end−cap Electron candidates Generic tracks Fit to data Electron candidates Generic tracks Electrons (MC) Generic tracks (MC) ATLAS preliminary

Fig. 8. – Distribution of fraction of high-threshold TRT hits for candidates with|η| <2 (left) and the distribution of the high-threshold probability as a function of the particles Lorentz factor γ for electrons and pions separately (right).

A unique element of the ATLAS detector is the TRT. It not only provides space-points used for tracking, but is designed to provide electron-pion separation information using the (non-)detection of transition radiation that is induced by a traversing particle depending on its Lorentz factor γ. The light electrons are more likely to induce a number of high-threshold TRT hits as is shown in the left plot of fig. 8. The electron-pion separation is shown by the difference in response of the TRT to pions and electrons (from conversions) in the right plot of fig. 8.

4. – Calorimeter response and reconstructing missing transverse energy

A solid and unbiased estimate of missing transverse energy involves understanding both detector geometry and response to several physics objects to high precision. Here we present initial results based on calorimeter information [6].

4.1. Calorimeter response. – The response of the electromagnetic and hadronic

calorimeters at the electromagnetic (EM) scale is shown in fig. 9. The distribution of cell

[GeV]

cell

E

0 2 4 6 8 10

Number of cells [/0.05 GeV]

-1 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10

= 900 GeV Collision candidates s

Random trigger

Non-diffractive minimum bias MC

2009 Collisions EM ENDCAP

ATLASPreliminary

EM scale

Tile Cell Energy [GeV]

-1 0 1 2 3 4 5

# of Cells / 0.06 GeV / Event

-5 10 -4 10 -3 10 -2 10 -1 10 1 10 2 10 3 10 4 10 EM Scale ATLASPreliminary = 7 TeV s MinBias MC, = 7 TeV s Data, = 2.36 TeV s Data, = 0.9 TeV s Data, Random Trigger

Fig. 9. – Distribution of cell energy for the electromagnetic endcap calorimeter (left plot) and the TileCal hadronic calorimeter (right plot).

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[GeV] T E Σ 0 10 20 30 40 50 60 70 80 Resolution [GeV] miss y ,E miss x E 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 ATLAS Preliminary T E Σ Data 2.36 TeV: fit 0.37

T

E Σ Data 900 GeV: fit 0.37

T

E Σ MC MinBias 900 GeV: fit 0.37

[GeV] miss T E 0 10 20 30 40 50 60 Events / 1 GeV 1 10 2 10 3 10 4 10 5 10 6 10 0 10 20 30 40 50 60 1 10 2 10 3 10 4 10 5 10 6 10 Data MC MinBias ATLAS Preliminary Data April 2010 = 7 TeV s -1 = 0.3 nb int L | < 4.5 η |

Fig. 10. – Resolution of the two components of the missing transverse energy as a function of the total sum of transverse energy in 0.9 and 2.36 TeV data (left plot) and the distribution of missing transverse energy in 7 TeV data sample compared to a normalized MC distribution (right plot).

energy(2) in the electromagnetic calorimeter (endcap) in a run of good quality is shown

in the left plot that also shows the cell energy distribution from random data (electronic noise only) as well as the expectation from non-diffractive minimum bias MC events.

The distribution of TileCal cells, a hadronic calorimeter, in collision data at 7 TeV, 2.36 TeV, and 0.9 TeV is shown in the right plot of fig. 9 where it is superimposed with Pythia minimum bias MC and randomly triggered events.

4.2. Missing transverse energy. – Using topological clusters, calibrated at the EM

scale, the calorimeter response can provide a first estimate of the total missing transverse

energy in an event. The resolution of Emiss

x and Eymissas a function of the total transverse

energy (ET) for minimum bias events in 0.9 and 2.36 TeV data is shown in fig. 10 (left

plot) [6]. The line represents a fit to the resolution obtained in the MC simulation. The distribution of missing transverse energy in a data sample of 14.4 million se-lected minimum bias events at 7 TeV center-of-mass energy is shown in the right plot of fig. 10 [7]. The expectation from MC simulation is superimposed (histogram) and normalized to the number of events in data. We observe a remarkable agreement over 6 orders of magnitude and, especially important in searches for new physics, the tails seem well understood.

5. – Conclusions

The early LHC data-taking runs at 0.9, 2.36 and 7 TeV center-of-mass have allowed a first calibration, evaluation of the ATLAS detector operation and ability to reconstruct trajectories of charged particles, high-energy leptons and missing transverse energy. The agreement between data and MC on several complex physics objects like b-tagging and missing energy estimation is remarkable at this early stage. It allows us to look with confidence at more complex event topologies. We are looking forward to seeing signs of top quark pair production in the 2010 LHC runs and hopefully also hints of new physics.

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REFERENCES

[1] ATLAS Collaboration, Tracking Studies for b-tagging with 7 TeV Collision Data with the ATLAS Detector, ATLAS-CONF-2010-040 (2010).

[2] ATLAS Collaboration, Performance of the ATLAS Secondary Vertex b-tagging Algorithm in 7 TeV Collision Data, ATLAS-CONF-2010-042 (2010).

[3] ATLAS Collaboration, Identification of muon candidates in pp collisions at √s = 900 GeV with the ATLAS detector, ATLAS-CONF-2010-015 (2010).

[4] ATLAS Collaboration, Electron and photon reconstruction and identification in ATLAS: expected performance at high energy and results at√s = 900 GeV, ATLAS-CONF-2010-005 (2010).

[5] ATLAS Collaboration, Photon Conversions at√s = 900 GeV measured with the ATLAS Detector, ATLAS-CONF-2010-007 (2010).

[6] ATLAS Collaboration, Performance of the missing transverse energy reconstruction in minimum bias events at√s of 900 GeV and 2.36 TeV with the ATLAS detector, ATLAS-CONF-2010-008 (2010).

[7] ATLAS Collaboration, Performance of the missing transverse energy reconstruction in minimum bias collisions at center-of-mass energy of√s = 7 TeV with the ATLAS detector, ATLAS-CONF-2010-039 (2010).

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