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Table 1 Requirements defining the signal region (SR) and the W γγ
CR referred to in Sect. 6
SR W γγ CR
2 Tight photons with
p
T
> 75 GeV
2 Tight photons with p
T
> 50 GeV
1 e or μ with p
T
> 25 GeV
φ
min
(jet, p
miss
T
)>0.5 φ
min
(jet, p
miss
T
)>0.5
E
miss
T
> 175 GeV 50 < E
miss
T
< 175 GeV
m
eff
> 1500 GeV N (jets)<3
m
eγ
/∈ 83–97 GeV
mass benchmark points, leading to the definition of a single
signal region (SR). The selection requirements for this SR
are shown in Table 1.
6 Background estimation
Processes that contribute to the Standard Model background
of diphoton final states can be divided into three primary
components. The largest contribution to the inclusive dipho-
ton spectrum is the “QCD background”, which can be further
divided into a contribution from two real photons produced
in association with jets, and a “jet-faking-photon” contribu-
tion arising from γ +jet and multijet events for which one
or both reconstructed photons are faked by a jet, typically
by producing a π
0
→ γγ decay that is misidentified as
a prompt photon. An “electron-faking-photon background”
arises predominantly from W , Z, and t
¯
t events, possibly
accompanied by additional jets and/or photons, for which
an electron is misidentified as a photon. Electron-to-photon
misidentification is due primarily to instances for which an
electron radiates a high-momentum photon as it traverses the
material of the ATLAS inner detector. Last, an “irreducible
background” arises from W γγ and Z γγ events. These back-
grounds are estimated with a combination of data-driven and
simulation-based methods described as follows.
The component of the QCD background arising from real
diphoton events (γγ) is estimated directly from diphoton
MC events, rescaled as function of E
miss
T
and the number
of selected jets to match the respective distributions for the
inclusive diphoton sample in the range E
miss
T
< 100 GeV.
While this background dominates the inclusive diphoton
sample, it is very steeply falling in E
miss
T
, making it small rel-
ative to backgrounds with real E
miss
T
for E
miss
T
100 GeV,
independent of the reweighting.
The component of the QCD background arising from jets
faking photons and the background arising from electrons
faking photons are both estimated with a data-driven “fake-
factor” method, for which events in data samples enriched in
the background of interest are weighted by factors parame-
terizing the misidentification rate.
To estimate the jet-faking-photon fake-factor, the jet-
faking-photon background is enriched by using an inverted
isolation requirement, selecting events only if they contain
one or more non-isolated photons. The relative probability of
an energy cluster being reconstructed as an isolated, rather
than non-isolated, photon is known as the photon-isolation
fake factor, and is measured in an orthogonal “non-tight”
sample of photons. The selection of this sample requires that
all the tight photon identification requirements be satisfied,
with the exception that at least one of the requirements on
the calorimeter variables defined only with the first (strip)
layer of the electromagnetic calorimeter fails. This leads to
a sample enriched in identified (non-tight) photons that are
actually π
0
s within jets. The correlation between the isola-
tion variable and the photon identification requirements was
found tobesmall and to have no significantimpact on the esti-
mation of the jet-faking-photon fake-factor. The fake factors
depend upon p
T
and η, and vary between 10 and 30 %. The
jet-faking photon background is then estimated by weighting
events with non-isolated photons by the applicable photon-
isolation fake factor.
The electron-faking-photon background is estimated with
a similar fake-factor method. For this case, the electron-
faking-photon background is enriched by selecting events
with a reconstructed electron instead of a second photon.
Fake factors for electrons being misidentified as photons are
then measured by comparing the ratio of reconstructed eγ
to ee events arising from Z bosons decaying to electron–
positron pairs, selected withinthemass range of 75–105 GeV.
The electron-faking-photon background is then estimated by
weighting selected eγ events by their corresponding fake
factors, which are typically a few percent.
The irreducible background from W γγ events is esti-
mated with MC simulation; however, because it is a poten-
tially dominant background contribution, the overall normal-
ization is derived in a γ γ control region (W γγ CR) as fol-
lows. Events in the W γγ CR are required to have two tight,
isolated photons with p
T
> 50 GeV, and exactly one selected
lepton (electron or muon) with p
T
> 25 GeV. As with the
SR, events are required to have φ
min
(jet, p
miss
T
)>0.5, so
that the direction of the missing transverse momentum vector
is not aligned with that of any high-p
T
jet. To ensure that the
control sample has no overlap with the signal region, events
are discarded if E
miss
T
> 175 GeV. While these requirements
target W γγ production, they also are expected to select
appreciable backgrounds from t
¯
tγ , Z γ and Z γγ events, and
thus additional requirements are applied. To suppress t
¯
tγ
contributions to the W γγ CR, events are discarded if they
contain more than two selected jets. To suppress Zγ contri-
butions, events are discarded if there is an e–γ pair in the
events with 83 < m
eγ
< 97 GeV. Finally, to suppress Z γγ
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