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A TLAS-CONF-2015-063 15 December 2015

ATLAS NOTE

ATLAS-CONF-2015-063

15th December 2015

Search for new resonances in events with one lepton and missing transverse momentum in pp collisions at √

s = 13 TeV with the ATLAS detector

The ATLAS Collaboration

Abstract

This note presents a search for W

0

bosons in events with one lepton (electron or muon) and missing transverse momentum. The search uses 3.3 fb

−1

of pp collision data collected at √

s = 13 TeV by the ATLAS experiment at the LHC in 2015. The transverse mass distribution is examined and no significant excess of events above the expected level from Standard Model processes is observed. The results are translated into exclusion limits for W

0

bosons with the same couplings to fermions as the Standard Model W boson. W

0

masses below 4.07 TeV are excluded at the 95% confidence level, improving on the previous Run-1 limits by around 800 GeV.

c

2015 CERN for the benefit of the ATLAS Collaboration.

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1 Introduction

Many models of physics beyond the Standard Model (SM) predict the existence of new spin-1 gauge bosons that could be discovered at the Large Hadron Collider (LHC). While the details of the models vary, conceptually these particles are heavier versions of the SM W and Z bosons and are generically called W

0

and Z

0

bosons. In the following, a search for a W

0

boson is presented using 3.3 fb

−1

of integrated luminosity of pp collision data collected with the ATLAS detector in 2015 at a centre-of-mass energy of 13 TeV. The results are interpreted in the context of the benchmark Sequential Standard Model (SSM) [1], in which the couplings of the W

SSM0

to fermions are assumed to be identical to those of the SM W boson. A previous W

SSM0

search by the ATLAS collaboration using 20.3 fb

−1

of √

s = 8 TeV data collected in 2012 set a 95% confidence level (CL) lower limit on the W

SSM0

mass of 3.24 TeV [2]. The CMS collaboration has published a search using 19.7 fb

−1

of √

s = 8 TeV data from 2012 to exclude W

SSM0

masses below 3.28 TeV at 95% CL [3].

The search is conducted in the W

0

→ `ν channel, where ` is a charged lepton and can be either an electron or a muon. The signature is a lepton with high transverse momentum (p

T

) and substantial missing transverse momentum (E

missT

) due to the undetected neutrino. The signal discriminant is the transverse mass

m

T

= q

2 p

T

E

missT

(1 − cos φ

), (1)

where φ

is the azimuthal angle between the lepton and E

missT

in the transverse plane

1

. The dominant background for the W

0

→ `ν search is the high-m

T

tail of the charged-current Drell–Yan (q q ¯

0

→ W → `ν) process. The data are compared to the SM background expectations to search for deviations from the predictions.

2 ATLAS detector

The ATLAS experiment [4] at the LHC is a multi-purpose particle detector with a forward-backward sym- metric cylindrical geometry and a near 4π coverage in solid angle. It consists of an inner tracking detector (ID) surrounded by a thin superconducting solenoid providing a 2 T axial magnetic field, electromagnetic (EM) and hadronic calorimeters, and a muon spectrometer (MS). The inner tracking detector covers the pseudorapidity range |η| < 2.5. It consists of a silicon pixel detector including the newly-installed insert- able B-layer [5], followed by silicon micro-strip, and transition radiation tracking detectors. Lead/liquid- argon (LAr) sampling calorimeters provide EM energy measurements with high granularity. A hadronic (steel/scintillator-tile) calorimeter covers the central pseudorapidity range ( |η| < 1.7). The end-cap and forward regions are instrumented with LAr calorimeters for both EM and hadronic energy measurements up to |η| < 4.9. The muon spectrometer surrounds the calorimeters and is based on three large air-core toroid superconducting magnets with eight coils each. Its bending power ranges from 2.0 to 7.5 T m. It includes a system of precision tracking chambers, over |η| < 2.7, and fast detectors for triggering, over

|η| < 2.4. A two-level trigger system is used to select events. The first-level trigger is implemented in hardware and uses a subset of the detector information. This is followed by the software-based trigger system that reduces the accepted event rate to less than 1 kHz.

1

ATLAS uses a right-handed coordinate system with its origin at the nominal interaction point (IP) in the centre of the detector and the

z-axis along the beam pipe. The x-axis points from the IP to the centre of the LHC ring, and they-axis points

upward. Cylindrical coordinates (r, φ) are used in the transverse plane,

φ

being the azimuthal angle around the beam pipe.

The pseudorapidity is defined in terms of the polar angle

θ

as

η=−ln tan(θ/2).

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3 Simulated samples

Monte Carlo (MC) simulation samples are used to model the expected signal and background yields, with the exception of data-driven background estimates for events in which at least one final state jet or photon passes the electron or muon selection criteria.

The main background is due to the charged-current Drell–Yan (DY) process, generated at next-to-leading order (NLO) using P owheg -B ox v2 [6] and the CT10 parton distribution functions (PDF) [7], with P y - thia 8.186 [8] to model parton showering and hadronisation. The same setup is used for the neutral- current DY (q q ¯ → Z/γ

→ ``) process. In both cases, samples for all three lepton flavours are generated, and the final-state photon radiation (QED FSR) is handled by P hotos [9]. The DY samples are normalised as a function of mass to a next-to-next-to leading order (NNLO) perturbative QCD (pQCD) calculation using VRAP [10] and the CT14NNLO PDF [11]. In addition, NLO electroweak (EW) corrections beyond QED FSR as calculated with M csanc [12, 13] are applied.

Backgrounds from t¯ t and single top production are estimated at NLO using Powheg-Box v2 and Powheg- B ox v1 respectively. These processes use the CT10 PDF set and are interfaced to P ythia 6.428 [14] for parton showering and hadronisation. The t¯ t MC samples are normalised to a cross section of σ

tt¯

= 832

+−2920

(scale) ±35 (PDF + α

s

) pb as calculated with the Top++2.0 program, which is accurate to NNLO in pQCD, including soft-gluon resummation to next-to-next-to-leading-log order (see Ref. [15] and refer- ences therein), and assuming a top-quark mass of 172.5 GeV. The first uncertainty comes from the in- dependent variation of the factorisation and renormalisation scales, while the second one is associated to variations in the PDF and α

s

, following the PDF4LHC prescription (see Ref. [16] and references therein) with the MSTW2008 68% CL NNLO [17], CT10 NNLO [18] and NNPDF2.3 [19] PDF sets.

Further potential backgrounds are due to diboson (WW, WZ and ZZ) production. The diboson processes are generated with S herpa 2.1.1 [20] using the CT10 PDF.

Signal samples for the W

0

→ eν and W

0

→ µν processes in the SSM are produced at leading order (LO) using P ythia 8.183 and the NNPDF23 LO PDF. The W

0

has the same couplings to fermions as the Standard Model W boson. Interference between the W

0

and the W is not included and the decay into a WZ pair is not allowed. The signal samples are normalised to the same NNLO pQCD calculation as a function of mass, as discussed above. The EW corrections beyond QED FSR are not applied to the signal samples because they depend on the couplings of the new particle, and are therefore model-dependent.

The resulting cross section times branching ratio for W

SSM0

masses of 2, 3 and 4 TeV are 153, 15.3 and 2.25 fb, respectively.

For all samples used in this analysis, the e ff ects of multiple interactions per bunch crossing (“pile-up”) are accounted for by overlaying simulated minimum bias events. The interaction of particles with the detector and its response are modeled using a full ATLAS detector simulation [21] based on G eant 4 [22].

Finally, several corrections are applied to the simulated samples, accounting for di ff erences between data

and simulation in the lepton trigger, reconstruction, identification, and isolation efficiencies as well as the

lepton energy / momentum resolution and muon momentum scale.

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4 Object reconstruction and event selection

Events in the muon channel are selected by a trigger requiring that at least one muon with p

T

> 50 GeV is found in the event. These muons must be reconstructed in both the MS and the ID. The e ffi ciency is around 80–90%, inefficiencies being mainly due to regions with reduced first-level muon trigger coverage. In the electron channel, events are selected by a trigger requiring at least one electron with p

T

> 24 GeV that satisfies the medium identification criteria, which are very similar to the ones used in the o ffl ine recon- struction and were optimised using a likelihood approach [23]. In addition, loose hadronic calorimeter- based isolation criteria are applied in the first-level trigger. To recover possible efficiency losses at high momenta, two additional electron triggers without isolation requirements are included, selecting elec- trons with p

T

> 60 GeV satisfying the medium identification criteria, and electrons with p

T

> 120 GeV satisfying the loose identification criteria.

The selected events must have a reconstructed primary vertex, which is the interaction vertex with the highest sum of p

2T

of tracks found in the event. Each vertex reconstructed in the event consists of at least two associated tracks with p

T

> 0.4 GeV. Only data taken during periods when all detector components and the trigger readout were functioning well are considered.

Muons are reconstructed from MS tracks and matching ID tracks in |η| < 2.5, requiring that the MS track have at least three segments in each of three separate layers of MS chambers [24] to ensure optimal muon resolution at high p

T

. To reduce sensitivity to relative barrel-endcap alignment in the MS, the region 1.01 < |η| < 1.10 is vetoed. These combined muons are required to pass a track quality selection based on the number of hits in the two sub-systems. Events are rejected if the significance of the di ff erence in the muon charge over momentum measurements in the two systems exceeds seven, or if the track crosses poorly-aligned MS chambers. To ensure that the muons come from the primary vertex, the transverse impact parameter significance, which is the ratio of the transverse impact parameter (d

0

) to its uncertainty, has to be below three and the longitudinal impact parameter z

0

must fulfil |z

0

× sin θ| < 10 mm.

Furthermore, only isolated muons are considered. The sum over the track p

T

in an isolation cone around the muon (excluding the muon itself) divided by the muon p

T

is required to be below a p

T

dependent cut and is tuned for a 99% e ffi ciency. The isolation cone size is ∆ R = p

( ∆ η)

2

+ ( ∆ φ)

2

= 10 GeV/p

µT

with a maximum size of ∆ R = 0.3.

Electrons are formed from clusters of cells in the electromagnetic calorimeter associated with a track in the ID. The electron p

T

is obtained from the calorimeter energy measurement and the direction of the associated track. In data, the electron energy scale is applied on the calibrated cluster energy. The elec- tron must be within the range |η| < 2.47 and outside the transition region between the barrel and endcap calorimeters (1.37 < |η| < 1.52). In addition, tight identification criteria [23] need to be satisfied for elec- trons with p

T

< 125 GeV while higher- p

T

electrons need to satisfy the medium identification selection.

The identification uses a likelihood discriminant based on measurements of calorimeter shower shapes

and measurements of track properties from the ID. To ensure that the electrons come from the primary

vertex, the transverse impact parameter significance must be below five. Furthermore, calorimeter and

track-based isolation criteria, tuned for an overall e ffi ciency of 98%, independent of p

T

, are applied. The

sum of the calorimeter transverse energy deposits in the isolation cone of size ∆ R = 0.2 (excluding the

electron itself) divided by the electron p

T

is used as the discrimination criterion. The track-based isolation

is determined in a similar way as for muons. The scalar sum of the p

T

of all tracks, inside a cone with

size ∆ R = 10 GeV/p

eT

and a maximum value of ∆ R = 0.2 around the electron, divided by the electron p

T

has a given value.

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The calculation of the missing transverse momentum is based on the selected electrons, photons, taus, muons and jets found in the event. The value of E

missT

is evaluated by summing over the p

T

of the physics objects selected in the analysis and the soft tracks not belonging to any of these physics objects [25].

Jets used in the E

missT

calculation are reconstructed from calorimeter clusters in |η| < 5 using the anti- k

t

algorithm [26] with a distance parameter of 0.4. They are calibrated using the method described in Ref. [27] and are required to have p

T

> 20 GeV. The impact of multiple overlapping pp interactions is accounted for using a technique that provides an event-by-event and jet-by-jet pile-up correction [28]. For jets with p

T

< 50 GeV and |η| < 2.4 a jet-vertex-tagger is applied, which uses a multivariate combination of track-based variables to quantify the likelihood that a jet originates from the hard-scatter process.

The event selection requires exactly one muon with p

T

> 55 GeV or one electron with p

T

> 65 GeV.

The E

Tmiss

value found in the event is required to exceed 55 GeV in the muon channel and 65 GeV in the electron channel. The transverse mass is required to satisfy m

T

> 110 (130) GeV in the muon (electron) channel.

5 Background estimate and comparison to data

The background from processes with at least one prompt final-state lepton is estimated from MC simu- lations. The processes with non-negligible contributions are charged current DY (W production), t¯ t and single top-quark production, denoted in the following as “Top” background, as well as neutral current DY (Z/γ

production) and diboson production.

Background contributions from events where at least one final-state jet or photon passes the lepton selec- tion criteria are determined using a data-driven “matrix” method. This includes contributions from mul- tijet, heavy-flavour quark and γ + jet production, referred to hereafter as the multijet background. The first step of the matrix method is to calculate a fake rate f that is defined as the fraction of lepton candidates that pass the nominal lepton identification and isolation requirements, with respect to a background- enriched sample containing “loose” lepton candidates. These loose candidates satisfy only a subset of the nominal criteria, which are stricter than the trigger requirements imposed. Potential contamination of prompt final-state leptons in the background-enriched sample are accounted for using MC simulation.

In addition to the fake rate, the probability r that a real lepton in the sample of loose objects satisfies the nominal requirements is used in evaluating this background. This probability is computed from MC simulation. Potential di ff erences between data and simulated samples in lepton identification and isol- ation efficiencies are accounted for by applying corrections to the simulation, as already mentioned in Section 3.

The contribution to the background from events with a fake lepton is determined in the following way.

The relation between the number of true events with (N

R

) and without (N

F

) a prompt lepton and the number of measured objects in the triggered sample (N

T

, N

L

) can be written as,

N

T

N

L

!

= r f

(1 − r) (1 − f )

! N

R

N

F

!

, (2)

where the subscript T refers to leptons that pass the nominal selection. The subscript L corresponds to

leptons that pass the loose requirements described above but fail the nominal requirements. The number

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Entries

1

10

1 10 102

103

104

105 s = 13 TeV, 3.3 fb-1

Data W Top Multijet

* Z/γ Diboson W’ (2 TeV)

W’ (3 TeV) W’ (4 TeV) Preliminary

ATLAS selection eν W’

Transverse mass [GeV]

200 300 1000 2000

Data / Bkg

0.6 0.8 1 1.2 1.4

Entries

1

10

1 10 102

103

104

105

106 -1

= 13 TeV, 3.3 fb s

Data W Top

* Z/γ Diboson Multijet W’ (2 TeV)

W’ (3 TeV) W’ (4 TeV) Preliminary

ATLAS selection ν µ W’

Transverse mass [GeV]

200 300 1000 2000

Data / Bkg

0.6 0.8 1 1.2 1.4

Figure 1: Transverse mass distributions for events satisfying all selection criteria in the electron (left) and muon (right) channels. The distributions are compared to the stacked sum of all expected backgrounds, with three selected W

SSM0

signals overlaid. The bin width is constant in log m

T

. The band in the ratio plot shows the quadratic sum of all systematic uncertainties that are estimated to change the number of expected background events in the respective channel by at least 3% in at least one bin in m

T

(see Section 6 for details).

of jets and photons misidentified as leptons (N

TMultijet

) in the total number of objects reconstructed as signal-like (N

T

) is given as:

N

TMultijet

= f N

F

= f r − f

r (N

L

+ N

T

) − N

T

. (3)

The right-hand side of Eq. (3) is obtained by inverting the matrix in Eq. (2).

The simulated top quark and diboson samples as well as the data-driven background estimate are stat- istically limited at large m

T

. Therefore the expected number of events is extrapolated into the high m

T

region using fits. Several fits are carried out, exploring various fit ranges as well as the two fit functions f (m

T

) = e

−a

m

bT

m

cTlogmT

and f (m

T

) = a/(m

T

+ b)

c

. The fit with the best χ

2

/d.o. f. is used as the extrapol- ated background contribution, with an uncertainty evaluated using the RMS of all attempted fits.

Finally, the number of expected background events is calculated as the sum of the data-driven and simu- lated background estimates. As can be seen in Figure 1, the charged current DY production dominates the background for all values of m

T

. As an example, for m

T

> 1 TeV the contribution from charged current DY is about 90% for both channels. The remaining background is dominated by multijet production in the electron channel and contains rather similar contributions from neutral current DY, top, and diboson production in the muon channel.

In both channels, the background estimate is in general agreement with the data, as can be seen in Figure 1.

The ratios of data to background expectations are shown in the lower panels, with a band representing

the quadratic sum of all systematic uncertainties that are estimated to change the number of expected

background events in the respective channel by at least 3% in at least one bin in m

T

(see Section 6 for

details).

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Source Electron channel Muon channel

Background Signal Background Signal

Trigger negl. (negl.) negl. (negl.) 3% (3%) 3% (4%)

Lepton reconstruction and identification negl. (negl.) negl. (negl.) 6% (10%) 5% (8%)

Lepton isolation negl. (negl.) negl. (negl.) 5% (5%) 5% (5%)

Lepton momentum scale and resolution 3% (3%) 11% (6%) 49% (69%) 5% (21%) E

Tmiss

scale and resolution < 0.5% (< 0.5%) < 0.5% (< 0.5%) 1% (1%) 1% (2%) Jet energy resolution < 0.5% (< 0.5%) < 0.5% (1%) 1% (1%) 1% (1%)

Multijet background 3% (19%) n/a ( n/a ) negl. (negl.) n/a ( n/a )

PDF variation for DY production 8% (10%) n/a ( n/a ) 6% (8%) n/a ( n/a ) PDF choice for DY production 3% (13%) n/a ( n/a ) 2% (2%) n/a ( n/a )

Luminosity 8% (4%) 9% (9%) 9% (9%) 9% (9%)

Total 12% (26%) 14% (11%) 51% (71%) 13% (25%)

Table 1: Systematic uncertainties on the expected number of events as evaluated at m

T

= 2 (4) TeV, both for signal events with a W

SSM0

mass of 2 (4) TeV and for background. Uncertainties estimated to have an impact < 3% on the expected number of events for all values of m

T

are denoted as negligible (“negl”). In case they are negligible in both channels they are not listed. Uncertainties that are not applicable are denoted “ n/a ”.

6 Systematic uncertainties

The systematic uncertainties can be subdivided in the experimental uncertainties on the selected electrons and muons and on E

missT

, and uncertainties from the theoretical predictions. In the statistical analysis, all systematic uncertainties estimated to have an impact < 3% on the expected number of events for all values of m

T

are neglected, as they have negligible impact on the results of the search. The systematic uncertainties considered in at least one of the two channels are summarised in Table 1.

Experimental systematic uncertainties arise from the background and luminosity estimate, the trigger se-

lection, the lepton reconstruction, identification and isolation criteria [23, 24], as well as effects of the

energy/momentum scale and resolution [24, 29]. The data-driven multi-jet background estimation dis-

cussed in Section 5 is the dominating source of uncertainty in the electron channel. The main source of

uncertainty in the muon channel stems from the momentum resolution due to residual misalignments in

the MS, measured using dedicated data-taking periods with no magnetic field in the MS. The electron and

muon e ffi ciencies have been evaluated from data using tag-and-probe methods in Z decays. For electrons

the e ffi ciency is measured following the prescription of Ref. [30], with certain improvements and adjust-

ments for the 2015 running conditions. However, the electron identification efficiency is only measured

precisely up to a transverse momentum of 150 GeV. The e ff ect of the extrapolation to higher values of

p

T

was found to be 2% and was estimated by extrapolating the shower shapes to high p

T

and by varying

the shower shapes for which differences are observed between data and MC simulation. For muons, the

uncertainty in the reconstruction e ffi ciency includes the uncertainty obtained from Z → µ µ data studies,

as well as a high-p

T

extrapolation uncertainty corresponding to the magnitude of the drop in the muon

reconstruction and selection efficiency with increasing p

T

that is predicted by the MC simulation. For

the isolation criterion, the extrapolation uncertainty to high p

T

is 2% for electrons and conservatively

estimated to be 5% for muons with p

T

> 500 GeV.

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The systematic uncertainties related to E

Tmiss

come from both the calculation of the contribution of tracks not belonging to any physics object in the E

Tmiss

calculation [25] and the jet energy scale and resolution uncertainties [27]. The uncertainties due to the jet energy and E

missT

resolution are small at large m

T

as can be seen in Table 1, but have non-negligible contributions at small m

T

, while the scale uncertainties are found to be negligible. The uncertainty on the integrated luminosity is 9%, affecting all simulated samples. It is derived, following a methodology similar to that detailed in Ref. [31], from a preliminary calibration of the luminosity scale, using a pair of x − y beam-separation scans performed in June 2015.

Theoretical uncertainties are related to the production cross sections of the various backgrounds estim- ated from MC simulation. The dominant uncertainty arises from the PDF for the charged current DY background. The PDF uncertainty denoted as “PDF variation” in Table 1 is obtained from the 90% CL CT14NNLO PDF error set, using VRAP in order to calculate the NNLO Drell–Yan cross section as a function of mass. An additional uncertainty is assigned to take into account potential di ff erences when using the MMHT2014 [32] or NNPDF3.0 [33] PDF sets. Of these, only the central values for NNPDF3.0 fall outside of the 90% CL CT14NNLO PDF uncertainty band, and the full difference between the central predictions of these two PDFs is taken as an additional asymmetric uncertainty quoted as “PDF choice.”

Scale uncertainties on the charged current DY are estimated by varying the renormalisation and factor- isation scales simultaneously up and down by a factor of two, also using VRAP. The resulting maximum variations are less than 3%. The theoretical uncertainties on the t¯ t background are due to the t¯ t normalisa- tion (about 6%) and the background extrapolation already described in Section 3, however, they alter the total number of expected events by less than 3%. Similarly, uncertainties on the diboson backgrounds, the electroweak corrections and the choice of α

s

can be neglected.

7 Results

To test for excesses in data, a log-likelihood ratio test is carried out using RooStats [34], which calculates the probability that the background fluctuates such as to create a signal-like excess equal to or larger than what is observed. The likelihood functions in the ratio are defined as the product of the Poisson probabilities over all mass bins in the search region assuming Gaussian-distributed nuisance parameters, and are maximised for the two cases of the presence of a signal and background only. The signal is modeled using W

SSM0

templates in m

T

for a series of W

SSM0

masses covering the full considered mass range. As examples, three of these templates are shown in Figure 1 for both channels. The largest excess in the electron channel is found around m

T

= 600 GeV with a local p

0

value of 0.004 corresponding to a significance of 2.6 σ. In the muon channel no excess larger than 2 σ is observed. These significances are local significances that do not include the trials factor, which accounts for the probability of observing an excess anywhere in the search region. The trials factor reduces the excess at 600 GeV to a so-called global significance of 1.0 σ corresponding to a p

0

value of 0.16.

In the absence of a signal, upper limits on the cross section for the production of a new boson times its

branching ratio to a single lepton generation (σB) are determined at 95% CL as a function of the mass of

the boson, m

W0

. The observed upper limits are derived by comparing data to the expected background,

using templates for the shape of the simulated m

T

distributions for different signal masses. Similarly, the

expected limit is determined using pseudo-experiments obtained from the estimated background distribu-

tions, instead of the actual data. The pseudo-experiments result in a distribution of limits, the median of

which is taken as the expected limit, and 1 σ and 2 σ bands are defined as the ranges containing respect-

ively 68% and 95% of the limits obtained with the pseudo-experiments. The limit setting is based on a

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[TeV]

mW’

1 2 3 4 5 6

B [pb]σ

4

10 3

10 2

10 1

10

1 10

Expected limit 1σ Expected ±

2σ Expected ± Observed limit W’SSM

Preliminary ATLAS

= 13 TeV, 3.3 fb-1

s eν W’→

Run-I Limit

[TeV]

mW’

1 2 3 4 5 6

B [pb]σ

4

10

3

10

2

10

1

10 1 10

Expected limit 1σ Expected ±

2σ Expected ± Observed limit W’SSM

Preliminary ATLAS

= 13 TeV, 3.3 fb-1

s ν µ W’→

Run-I Limit

Figure 2: Median expected (dashed black line) and observed (solid black line) 95% CL upper limits on cross-section times branching ratio (σB) in the electron (left panel) and muon (right panel) channels. The 1 σ (green) and 2 σ (yellow) bands are also shown. The predicted σB for W

SSM0

production is shown as a red solid line. The vertical dashed line indicates the mass limit of the 8 TeV data analysis [2].

Bayesian approach detailed in Ref. [35], using the Bayesian Analysis Toolkit [36], with a uniform positive prior probability distribution for σB. The W

SSM0

templates mentioned above are used for the limit setting, however, the limit on σB is largely independent of the choice of template, as shown in Ref. [35].

Figure 2 presents the expected and observed limits separately for the electron and muon channels, and Figure 3 presents their combination. The expected upper limit on σB is stronger in the electron channel due to the larger acceptance times e ffi ciency and the better momentum resolution. Acceptance times e ffi - ciency is defined as the fraction of simulated candidate events that pass the event selection, and amounts to 85% (81%) for the electron channel and 52% (48%) for the muon channel at a W

0

mass of 2 TeV (4 TeV). The di ff erence in resolution can be seen in Figure 1 when comparing the shapes of the three reconstructed W

SSM0

signals. For both channels and their combination, the observed limit is within the

±2 σ band of expected limits for all m

W0

, except for the region around 600 GeV in the electron channel, where an excess with a local significance of 2.6 σ is found, as already mentioned above.

For specific models with a known σB as a function of mass, the upper limit on σB can be used to set a lower mass limit on the new resonance, e.g., for the benchmark W

SSM0

model. Figures 2 and 3 show the predicted σB for the W

SSM0

as a function of its mass. The resulting expected and observed lower limits on the W

SSM0

mass are given in Table 2.

m

W0

limit [TeV]

Decay Expected Observed

W

0

→ eν 4.03 3.98

W

0

→ µν 3.66 3.42

W

0

→ `ν 4.18 4.07

Table 2: Expected and observed 95% CL lower limits on the W

SSM0

mass in the electron and muon channel and their

combination.

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[TeV]

m

W’

1 2 3 4 5 6

B [pb] σ

4

10

− 3

10

− 2

10

− 1

10

1 10

Expected limit 1σ Expected ±

2σ Expected ± Observed limit W’SSM

Preliminary ATLAS

= 13 TeV, 3.3 fb-1

s lν W’→

Run-I Limit

Figure 3: Median expected (dashed black line) and observed (solid black line) 95% CL upper limits on cross-section times branching ratio (σB) in the combined channel, along with predicted σB for W

SSM0

production (red line). The 1 σ (green) and 2 σ (yellow) bands are also shown. The vertical dashed line indicates the mass limit of the 8 TeV data analysis [2].

8 Conclusion

The ATLAS detector has been used to search for new high-mass states decaying to a lepton plus missing transverse momentum in pp collisions at √

s = 13 TeV using 3.3 fb

−1

of integrated luminosity. Events

with high-p

T

electrons and muons and with high E

missT

are selected and the transverse mass spectrum is

examined. The data and the SM expectations are in general agreement. Using a Bayesian interpretation,

mass limits are set for a possible Sequential Standard Model W

SSM0

boson. Masses below 4.07 TeV are

excluded at 95% CL. These results represent a significant improvement of more than 800 GeV compared

to the previous ATLAS results based on the Run-I data.

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Appendix

Figure 4 and Figure 5 show a candidate event with high m

T

in the electron and muon channel respectively.

Figure 4: Event display for an event with high m

T

in the electron channel found in the 2015 data. The event contains an electron with p

T

= 1.01 TeV, η = −0.9, φ = −2.4, E

missT

= 0.94 TeV, and m

T

= 1.95 TeV. The red dashed line represents the E

missT

direction. The green towers depict the energy deposits in the EM calorimeter of the electron.

Tracks with p

T

> 0.5 GeV reconstructed in the ID are shown in blue.

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Figure 5: Event display for an event with high m

T

in the muon channel found in the 2015 data. The event contains a muon with p

T

= 0.86 TeV, η = −0.2 , φ = −2.9, E

missT

= 0.86 TeV, and m

T

= 1.71 TeV. The red line represents the direction of the muon and the white dashed line the E

missT

direction. The blue boxes depict hits in the muon spectrometers; the green and yellow boxes display projections of the electromagnetic and hadronic calorimeter energy depositions and the orange tracks are charged particles with p

T

> 0.5 GeV in the ID.

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Abbildung

Figure 1: Transverse mass distributions for events satisfying all selection criteria in the electron (left) and muon (right) channels
Table 1: Systematic uncertainties on the expected number of events as evaluated at m T = 2 (4) TeV, both for signal events with a W SSM0 mass of 2 (4) TeV and for background
Figure 2: Median expected (dashed black line) and observed (solid black line) 95% CL upper limits on cross-section times branching ratio (σB) in the electron (left panel) and muon (right panel) channels
Figure 3: Median expected (dashed black line) and observed (solid black line) 95% CL upper limits on cross-section times branching ratio (σB) in the combined channel, along with predicted σB for W SSM0 production (red line)
+3

Referenzen

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and the number of b-tagged jets for events in the W +jets and top control regions for the electron and muon chan- nel applying the 3-jet selection.. The distributions of

Academy of Sciences, Beijing; (b) Department of Modern Physics, University of Science and Technology of China, Anhui; (c) Department of Physics, Nanjing University, Jiangsu; (d)

the instrumental Z/γ ∗ + jets background in the signal regions, a data control sample of γ + jets events, which are also characterised by E miss T due to hadronic mismeasurement,

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[27] ATLAS Collaboration, Search for light scalar top quark pair production in final states with two leptons with the ATLAS detector in √.. s = 7 TeV proton–proton

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Model-independent limits on the visible cross section (i.e. the cross section evaluated inside the signal region) are derived from the number of observed and predicted events in