We do not apply a selection requirement on the mass variable of eq. (5.1), but instead
utilize it to search for a broad enhancement in the m(τ
1
, τ
2
, ~p
miss
T
) distribution consistent
with new physics.
The product of signal acceptance and efficiency for Z
0
→ ττ events varies with the Z
0
boson mass. The τ
µ
τ
h
and τ
h
τ
h
channels provide the largest product of acceptance and
efficiency, while the τ
e
τ
µ
channel has the lowest. For the combination of all four channels
the product of acceptance and efficiency amounts to 6.3, 13, and 14%, respectively, for
m (Z
0
SSM
) = 0.5, 1.5, and 3.0 TeV.
6 Background estimation
To estimate the background contributions in the signal region, techniques based on data
control regions are employed wherever possible. The strategy when using such a technique
is to modify the standard event selection requirements in order to define samples enriched
with events from specific sources of background. These control regions are used to model
the m(τ
1
, τ
2
, ~p
miss
T
) shape of the backgrounds and to measure the probability for an event
to satisfy the selection requirements. Contributions from additional background sources
in a given control region are subtracted using their predictions from simulation. The
background estimation methods based on data control regions are validated by determining
the ability of the method, applied to simulated samples, to predict correctly the true
number of background events and the shape of the m(τ
1
, τ
2
, ~p
miss
T
) distribution. In some
cases, for backgrounds with misidentified leptons, the background estimation methods are
also validated with the data. In such tests, the agreement between the relevant quantities
is always within the statistical uncertainties, and is at the level of 20% or better, depending
on the channel. In cases where an approach based on a data control region is not possible,
or for backgrounds with small expected contributions, we rely on simulation. For the most
relevant SM contributions evaluated from simulation, we verify that the MC prediction is
in agreement with the data in background-enhanced regions.
The QCD multijet background is relevant for both the τ
h
τ
h
and τ
`
τ
h
channels, where
it represents more than 80% or 20% of the total background, respectively. The contri-
bution from QCD multijet events in the τ
e
τ
µ
channel is approximately 5% (< 1%) for
m(τ
1
, τ
2
, ~p
miss
T
) > 85 (300) GeV. In the τ
h
τ
h
final state, this background is evaluated
from the like-sign ττ mass distribution (> 98% purity of QCD multijet events), which
is scaled using the opposite-sign-to-like-sign ratio measured in a control region where the
E
miss
T
requirement is inverted (E
miss
T
< 30 GeV). In the τ
e
τ
h
final state, the QCD multijet
background is evaluated using the mass shape reconstructed from a data sample with a
nonisolated τ
h
. This mass shape is weighted by the probability for a jet to satisfy the
τ
h
isolation criterion, which is measured from a sample of like-sign ττ candidates. The
systematic uncertainties in these estimates are discussed in section 7.
Background from W+jets events is important in the τ
`
τ
h
channels, representing about
40 (45)% of the total background when ` is an electron (muon). The contribution from
W+jets events in the τ
e
τ
µ
and τ
h
τ
h
channels is <1% for m(τ
1
, τ
2
, ~p
miss
T
) > 300 GeV. To
estimate this background, we take the mass distribution of events selected in data with
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